Finite Group Databasebeta

← Group #13035100

Character table — Group #13035100

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1111111144444444444444555555558888888888882020202020202020202020202020202020202020202011111111444444444444445555555588888888888820202020202020202020202020202020202020202020
order12222222444444510101010101010444444442020202020202020202020204444448888888888888888222222224444441010101010101010444444442020202020202020202020204444448888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ41111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ51111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-11111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-1
χ61111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-1111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-111
χ71111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii1111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii
χ81111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i1111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i
χ911111111-1-111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1
χ1011111111-1-111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111
χ1111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii11111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii
χ1211111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i11111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i
χ1311111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111
χ1411111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111-1-111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111-1-1
χ1511111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1ii−i−i−i−iii−i−iiiii−i−i11111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ1611111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1−i−iiiii−i−iii−i−i−i−iii11111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1−i−iiiii−i−iii−i−i−i−iii
χ17222-22-2-2-20000002222-2-2-2-22222-2-2-2-2000000000000000000002-2002-200000000222-22-2-2-20000002222-2-2-2-22222-2-2-2-2000000000000000000002-2002-200000000
χ18222-22-2-2-20000002222-2-2-2-22222-2-2-2-200000000000000000000-2200-2200000000222-22-2-2-20000002222-2-2-2-22222-2-2-2-200000000000000000000-2200-2200000000
χ19222-22-2-2-20000002222-2-2-2-2-2-2-2-22222000000000000000000002i−2i00−2i2i00000000222-22-2-2-20000002222-2-2-2-2-2-2-2-22222000000000000000000002i−2i00−2i2i00000000
χ20222-22-2-2-20000002222-2-2-2-2-2-2-2-2222200000000000000000000−2i2i002i−2i00000000222-22-2-2-20000002222-2-2-2-2-2-2-2-2222200000000000000000000−2i2i002i−2i00000000
χ2122-22-2-22-200000022-2-2-222-22i−2i2i−2i2i−2i2i−2i000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000022-22-2-22-200000022-2-2-222-22i−2i2i−2i2i−2i2i−2i000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000000000
χ2222-22-2-22-200000022-2-2-222-22i−2i2i−2i2i−2i2i−2i0000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000022-22-2-22-200000022-2-2-222-22i−2i2i−2i2i−2i2i−2i0000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000
χ2322-22-2-22-200000022-2-2-222-2−2i2i−2i2i−2i2i−2i2i000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000022-22-2-22-200000022-2-2-222-2−2i2i−2i2i−2i2i−2i2i000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000000000
χ2422-22-2-22-200000022-2-2-222-2−2i2i−2i2i−2i2i−2i2i0000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000022-22-2-22-200000022-2-2-222-2−2i2i−2i2i−2i2i−2i2i0000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000
χ2522-2-2-22-22002i−2i0022-2-22-2-222i−2i2i−2i−2i2i−2i2i00002i2i−2i−2i0000002-200000000000000000022-2-2-22-22002i−2i0022-2-22-2-222i−2i2i−2i−2i2i−2i2i00002i2i−2i−2i0000002-2000000000000000000
χ2622-2-2-22-22002i−2i0022-2-22-2-22−2i2i−2i2i2i−2i2i−2i00002i2i−2i−2i000000-2200000000000000000022-2-2-22-22002i−2i0022-2-22-2-22−2i2i−2i2i2i−2i2i−2i00002i2i−2i−2i000000-22000000000000000000
χ2722-2-2-22-2200−2i2i0022-2-22-2-222i−2i2i−2i−2i2i−2i2i0000−2i−2i2i2i000000-2200000000000000000022-2-2-22-2200−2i2i0022-2-22-2-222i−2i2i−2i−2i2i−2i2i0000−2i−2i2i2i000000-22000000000000000000
χ2822-2-2-22-2200−2i2i0022-2-22-2-22−2i2i−2i2i2i−2i2i−2i0000−2i−2i2i2i0000002-200000000000000000022-2-2-22-2200−2i2i0022-2-22-2-22−2i2i−2i2i2i−2i2i−2i0000−2i−2i2i2i0000002-2000000000000000000
χ292-222-2-2-220000002-22-2-22-222i−2i−2i2i−2i2i2i−2i0000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372-222-2-2-220000002-22-2-22-222i−2i−2i2i−2i2i2i−2i0000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37
χ302-222-2-2-220000002-22-2-22-222i−2i−2i2i−2i2i2i−2i00000000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372-222-2-2-220000002-22-2-22-222i−2i−2i2i−2i2i2i−2i00000000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37
χ312-222-2-2-220000002-22-2-22-22−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392-222-2-2-220000002-22-2-22-22−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39
χ322-222-2-2-220000002-22-2-22-22−2i2i2i−2i2i−2i−2i2i00000000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392-222-2-2-220000002-22-2-22-22−2i2i2i−2i2i−2i−2i2i00000000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39
χ332-22-2-222-22i−2i00002-22-22-22-22i−2i−2i2i2i−2i−2i2i2i2i−2i−2i000000002-2000000000000000000002-22-2-222-22i−2i00002-22-22-22-22i−2i−2i2i2i−2i−2i2i2i2i−2i−2i000000002-200000000000000000000
χ342-22-2-222-22i−2i00002-22-22-22-2−2i2i2i−2i−2i2i2i−2i2i2i−2i−2i00000000-22000000000000000000002-22-2-222-22i−2i00002-22-22-22-2−2i2i2i−2i−2i2i2i−2i2i2i−2i−2i00000000-2200000000000000000000
χ352-22-2-222-2−2i2i00002-22-22-22-22i−2i−2i2i2i−2i−2i2i−2i−2i2i2i00000000-22000000000000000000002-22-2-222-2−2i2i00002-22-22-22-22i−2i−2i2i2i−2i−2i2i−2i−2i2i2i00000000-2200000000000000000000
χ362-22-2-222-2−2i2i00002-22-22-22-2−2i2i2i−2i−2i2i2i−2i−2i−2i2i2i000000002-2000000000000000000002-22-2-222-2−2i2i00002-22-22-22-2−2i2i2i−2i−2i2i2i−2i−2i−2i2i2i000000002-200000000000000000000
χ372-2-2222-2-200002i−2i2-2-2222-2-222-2-2-2-222000000002i2i−2i−2i00002i−2i00000000000000002-2-2222-2-200002i−2i2-2-2222-2-222-2-2-2-222000000002i2i−2i−2i00002i−2i0000000000000000
χ382-2-2222-2-200002i−2i2-2-2222-2-2-2-22222-2-2000000002i2i−2i−2i0000−2i2i00000000000000002-2-2222-2-200002i−2i2-2-2222-2-2-2-22222-2-2000000002i2i−2i−2i0000−2i2i0000000000000000
χ392-2-2222-2-20000−2i2i2-2-2222-2-222-2-2-2-22200000000−2i−2i2i2i0000−2i2i00000000000000002-2-2222-2-20000−2i2i2-2-2222-2-222-2-2-2-22200000000−2i−2i2i2i0000−2i2i0000000000000000
χ402-2-2222-2-20000−2i2i2-2-2222-2-2-2-22222-2-200000000−2i−2i2i2i00002i−2i00000000000000002-2-2222-2-20000−2i2i2-2-2222-2-2-2-22222-2-200000000−2i−2i2i2i00002i−2i0000000000000000
χ412-2-2-22-2220000002-2-22-2-22222-2-222-2-2000000000000000000000000002i−2i002i−2i002-2-2-22-2220000002-2-22-2-22222-2-222-2-2000000000000000000000000002i−2i002i−2i00
χ422-2-2-22-2220000002-2-22-2-22222-2-222-2-200000000000000000000000000−2i2i00−2i2i002-2-2-22-2220000002-2-22-2-22222-2-222-2-200000000000000000000000000−2i2i00−2i2i00
χ432-2-2-22-2220000002-2-22-2-222-2-222-2-222000000000000000000000000002-200-22002-2-2-22-2220000002-2-22-2-222-2-222-2-222000000000000000000000000002-200-2200
χ442-2-2-22-2220000002-2-22-2-222-2-222-2-22200000000000000000000000000-22002-2002-2-2-22-2220000002-2-22-2-222-2-222-2-22200000000000000000000000000-22002-200
χ4544444444444444-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000044444444444444-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000
χ464444444444-4-4-4-4-1-1-1-1-1-1-1-100000000-1-1-1-11111111100000000000000000000004444444444-4-4-4-4-1-1-1-1-1-1-1-100000000-1-1-1-1111111110000000000000000000000
χ4744444444-4-444-4-4-1-1-1-1-1-1-1-1000000001111-1-1-1-11111000000000000000000000044444444-4-444-4-4-1-1-1-1-1-1-1-1000000001111-1-1-1-111110000000000000000000000
χ4844444444-4-4-4-444-1-1-1-1-1-1-1-10000000011111111-1-1-1-1000000000000000000000044444444-4-4-4-444-1-1-1-1-1-1-1-10000000011111111-1-1-1-10000000000000000000000
χ4944-4-4-44-44004i−4i00-1-111-111-100000000i5−i5i5−i5−i−iii5−55−5000000000000000000000044-4-4-44-44004i−4i00-1-111-111-100000000i5−i5i5−i5−i−iii5−55−50000000000000000000000
χ5044-4-4-44-44004i−4i00-1-111-111-100000000−i5i5−i5i5−i−iii−55−55000000000000000000000044-4-4-44-44004i−4i00-1-111-111-100000000−i5i5−i5i5−i−iii−55−550000000000000000000000
χ5144-4-4-44-4400−4i4i00-1-111-111-100000000i5−i5i5−i5ii−i−i−55−55000000000000000000000044-4-4-44-4400−4i4i00-1-111-111-100000000i5−i5i5−i5ii−i−i−55−550000000000000000000000
χ5244-4-4-44-4400−4i4i00-1-111-111-100000000−i5i5−i5i5ii−i−i5−55−5000000000000000000000044-4-4-44-4400−4i4i00-1-111-111-100000000−i5i5−i5i5ii−i−i5−55−50000000000000000000000
χ534-44-4-444-44i−4i0000-11-11-11-1100000000−i−iii5−55−5i5−i5−i5i500000000000000000000004-44-4-444-44i−4i0000-11-11-11-1100000000−i−iii5−55−5i5−i5−i5i50000000000000000000000
χ544-44-4-444-44i−4i0000-11-11-11-1100000000−i−iii−55−55−i5i5i5−i500000000000000000000004-44-4-444-44i−4i0000-11-11-11-1100000000−i−iii−55−55−i5i5i5−i50000000000000000000000
χ554-44-4-444-4−4i4i0000-11-11-11-1100000000ii−i−i5−55−5−i5i5i5−i500000000000000000000004-44-4-444-4−4i4i0000-11-11-11-1100000000ii−i−i5−55−5−i5i5i5−i50000000000000000000000
χ564-44-4-444-4−4i4i0000-11-11-11-1100000000ii−i−i−55−55i5−i5−i5i500000000000000000000004-44-4-444-4−4i4i0000-11-11-11-1100000000ii−i−i−55−55i5−i5−i5i50000000000000000000000
χ574-4-4444-4-400004i−4i-111-1-1-111000000005−5−55−i5i5i5−i5−i−iii00000000000000000000004-4-4444-4-400004i−4i-111-1-1-111000000005−5−55−i5i5i5−i5−i−iii0000000000000000000000
χ584-4-4444-4-400004i−4i-111-1-1-11100000000−555−5i5−i5−i5i5−i−iii00000000000000000000004-4-4444-4-400004i−4i-111-1-1-11100000000−555−5i5−i5−i5i5−i−iii0000000000000000000000
χ594-4-4444-4-40000−4i4i-111-1-1-111000000005−5−55i5−i5−i5i5ii−i−i00000000000000000000004-4-4444-4-40000−4i4i-111-1-1-111000000005−5−55i5−i5−i5i5ii−i−i0000000000000000000000
χ604-4-4444-4-40000−4i4i-111-1-1-11100000000−555−5−i5i5i5−i5ii−i−i00000000000000000000004-4-4444-4-40000−4i4i-111-1-1-11100000000−555−5−i5i5i5−i5ii−i−i0000000000000000000000
χ61888-88-8-8-8000000-2-2-2-22222000000000000000000000000000000000000000000888-88-8-8-8000000-2-2-2-22222000000000000000000000000000000000000000000
χ6288-88-8-88-8000000-2-2222-2-2200000000000000000000000000000000000000000088-88-8-88-8000000-2-2222-2-22000000000000000000000000000000000000000000
χ638-888-8-8-88000000-22-222-22-20000000000000000000000000000000000000000008-888-8-8-88000000-22-222-22-2000000000000000000000000000000000000000000
χ648-8-8-88-888000000-222-222-2-20000000000000000000000000000000000000000008-8-8-88-888000000-222-222-2-2000000000000000000000000000000000000000000
χ651111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ66111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ671111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−iiiii−i−i−i−iiiii
χ681111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111iiii−i−i−i−iiiii−i−i−i−i
χ691111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-111-1-111-1-111
χ701111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-111-1-111-1-111-1-1
χ711111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i
χ721111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii
χ7311111111-1-111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111
χ7411111111-1-111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1
χ7511111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−i
χ7611111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii
χ7711111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1
χ7811111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111
χ7911111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1ii−i−i−i−iii−i−iiiii−i−i-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111−i−iiiii−i−iii−i−i−i−iii
χ8011111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1−i−iiiii−i−iii−i−i−i−iii-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i
χ81222-22-2-2-20000002222-2-2-2-22222-2-2-2-2000000000000000000002-2002-200000000-2-2-22-2222000000-2-2-2-22222-2-2-2-2222200000000000000000000-2200-2200000000
χ82222-22-2-2-20000002222-2-2-2-22222-2-2-2-200000000000000000000-2200-2200000000-2-2-22-2222000000-2-2-2-22222-2-2-2-22222000000000000000000002-2002-200000000
χ83222-22-2-2-20000002222-2-2-2-2-2-2-2-22222000000000000000000002i−2i00−2i2i00000000-2-2-22-2222000000-2-2-2-222222222-2-2-2-200000000000000000000−2i2i002i−2i00000000
χ84222-22-2-2-20000002222-2-2-2-2-2-2-2-2222200000000000000000000−2i2i002i−2i00000000-2-2-22-2222000000-2-2-2-222222222-2-2-2-2000000000000000000002i−2i00−2i2i00000000
χ8522-22-2-22-200000022-2-2-222-22i−2i2i−2i2i−2i2i−2i000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000000000-2-22-222-22000000-2-2222-2-22−2i2i−2i2i−2i2i−2i2i0000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000
χ8622-22-2-22-200000022-2-2-222-22i−2i2i−2i2i−2i2i−2i0000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000-2-22-222-22000000-2-2222-2-22−2i2i−2i2i−2i2i−2i2i000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000000000
χ8722-22-2-22-200000022-2-2-222-2−2i2i−2i2i−2i2i−2i2i000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000000000-2-22-222-22000000-2-2222-2-222i−2i2i−2i2i−2i2i−2i0000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000
χ8822-22-2-22-200000022-2-2-222-2−2i2i−2i2i−2i2i−2i2i0000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000-2-22-222-22000000-2-2222-2-222i−2i2i−2i2i−2i2i−2i000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000000000
χ8922-2-2-22-22002i−2i0022-2-22-2-222i−2i2i−2i−2i2i−2i2i00002i2i−2i−2i0000002-2000000000000000000-2-2222-22-200−2i2i00-2-222-222-2−2i2i−2i2i2i−2i2i−2i0000−2i−2i2i2i000000-22000000000000000000
χ9022-2-2-22-22002i−2i0022-2-22-2-22−2i2i−2i2i2i−2i2i−2i00002i2i−2i−2i000000-22000000000000000000-2-2222-22-200−2i2i00-2-222-222-22i−2i2i−2i−2i2i−2i2i0000−2i−2i2i2i0000002-2000000000000000000
χ9122-2-2-22-2200−2i2i0022-2-22-2-222i−2i2i−2i−2i2i−2i2i0000−2i−2i2i2i000000-22000000000000000000-2-2222-22-2002i−2i00-2-222-222-2−2i2i−2i2i2i−2i2i−2i00002i2i−2i−2i0000002-2000000000000000000
χ9222-2-2-22-2200−2i2i0022-2-22-2-22−2i2i−2i2i2i−2i2i−2i0000−2i−2i2i2i0000002-2000000000000000000-2-2222-22-2002i−2i00-2-222-222-22i−2i2i−2i−2i2i−2i2i00002i2i−2i−2i000000-22000000000000000000
χ932-222-2-2-220000002-22-2-22-222i−2i−2i2i−2i2i2i−2i0000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37-22-2-2222-2000000-22-222-22-2−2i2i2i−2i2i−2i−2i2i00000000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37
χ942-222-2-2-220000002-22-2-22-222i−2i−2i2i−2i2i2i−2i00000000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37-22-2-2222-2000000-22-222-22-2−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37
χ952-222-2-2-220000002-22-2-22-22−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39-22-2-2222-2000000-22-222-22-22i−2i−2i2i−2i2i2i−2i00000000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39
χ962-222-2-2-220000002-22-2-22-22−2i2i2i−2i2i−2i−2i2i00000000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39-22-2-2222-2000000-22-222-22-22i−2i−2i2i−2i2i2i−2i0000000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39
χ972-22-2-222-22i−2i00002-22-22-22-22i−2i−2i2i2i−2i−2i2i2i2i−2i−2i000000002-200000000000000000000-22-222-2-22−2i2i0000-22-22-22-22−2i2i2i−2i−2i2i2i−2i−2i−2i2i2i00000000-2200000000000000000000
χ982-22-2-222-22i−2i00002-22-22-22-2−2i2i2i−2i−2i2i2i−2i2i2i−2i−2i00000000-2200000000000000000000-22-222-2-22−2i2i0000-22-22-22-222i−2i−2i2i2i−2i−2i2i−2i−2i2i2i000000002-200000000000000000000
χ992-22-2-222-2−2i2i00002-22-22-22-22i−2i−2i2i2i−2i−2i2i−2i−2i2i2i00000000-2200000000000000000000-22-222-2-222i−2i0000-22-22-22-22−2i2i2i−2i−2i2i2i−2i2i2i−2i−2i000000002-200000000000000000000
χ1002-22-2-222-2−2i2i00002-22-22-22-2−2i2i2i−2i−2i2i2i−2i−2i−2i2i2i000000002-200000000000000000000-22-222-2-222i−2i0000-22-22-22-222i−2i−2i2i2i−2i−2i2i2i2i−2i−2i00000000-2200000000000000000000
χ1012-2-2222-2-200002i−2i2-2-2222-2-222-2-2-2-222000000002i2i−2i−2i00002i−2i0000000000000000-222-2-2-2220000−2i2i-222-2-2-222-2-22222-2-200000000−2i−2i2i2i0000−2i2i0000000000000000
χ1022-2-2222-2-200002i−2i2-2-2222-2-2-2-22222-2-2000000002i2i−2i−2i0000−2i2i0000000000000000-222-2-2-2220000−2i2i-222-2-2-22222-2-2-2-22200000000−2i−2i2i2i00002i−2i0000000000000000
χ1032-2-2222-2-20000−2i2i2-2-2222-2-222-2-2-2-22200000000−2i−2i2i2i0000−2i2i0000000000000000-222-2-2-22200002i−2i-222-2-2-222-2-22222-2-2000000002i2i−2i−2i00002i−2i0000000000000000
χ1042-2-2222-2-20000−2i2i2-2-2222-2-2-2-22222-2-200000000−2i−2i2i2i00002i−2i0000000000000000-222-2-2-22200002i−2i-222-2-2-22222-2-2-2-222000000002i2i−2i−2i0000−2i2i0000000000000000
χ1052-2-2-22-2220000002-2-22-2-22222-2-222-2-2000000000000000000000000002i−2i002i−2i00-2222-22-2-2000000-222-222-2-2-2-222-2-22200000000000000000000000000−2i2i00−2i2i00
χ1062-2-2-22-2220000002-2-22-2-22222-2-222-2-200000000000000000000000000−2i2i00−2i2i00-2222-22-2-2000000-222-222-2-2-2-222-2-222000000000000000000000000002i−2i002i−2i00
χ1072-2-2-22-2220000002-2-22-2-222-2-222-2-222000000000000000000000000002-200-2200-2222-22-2-2000000-222-222-2-222-2-222-2-200000000000000000000000000-22002-200
χ1082-2-2-22-2220000002-2-22-2-222-2-222-2-22200000000000000000000000000-22002-200-2222-22-2-2000000-222-222-2-222-2-222-2-2000000000000000000000000002-200-2200
χ10944444444444444-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000-4-4-4-4-4-4-4-4-4-4-4-4-4-411111111000000001111111111110000000000000000000000
χ1104444444444-4-4-4-4-1-1-1-1-1-1-1-100000000-1-1-1-1111111110000000000000000000000-4-4-4-4-4-4-4-4-4-4444411111111000000001111-1-1-1-1-1-1-1-10000000000000000000000
χ11144444444-4-444-4-4-1-1-1-1-1-1-1-1000000001111-1-1-1-111110000000000000000000000-4-4-4-4-4-4-4-444-4-4441111111100000000-1-1-1-11111-1-1-1-10000000000000000000000
χ11244444444-4-4-4-444-1-1-1-1-1-1-1-10000000011111111-1-1-1-10000000000000000000000-4-4-4-4-4-4-4-44444-4-41111111100000000-1-1-1-1-1-1-1-111110000000000000000000000
χ11344-4-4-44-44004i−4i00-1-111-111-100000000i5−i5i5−i5−i−iii5−55−50000000000000000000000-4-4444-44-400−4i4i0011-1-11-1-1100000000−i5i5−i5i5ii−i−i−55−550000000000000000000000
χ11444-4-4-44-44004i−4i00-1-111-111-100000000−i5i5−i5i5−i−iii−55−550000000000000000000000-4-4444-44-400−4i4i0011-1-11-1-1100000000i5−i5i5−i5ii−i−i5−55−50000000000000000000000
χ11544-4-4-44-4400−4i4i00-1-111-111-100000000i5−i5i5−i5ii−i−i−55−550000000000000000000000-4-4444-44-4004i−4i0011-1-11-1-1100000000−i5i5−i5i5−i−iii5−55−50000000000000000000000
χ11644-4-4-44-4400−4i4i00-1-111-111-100000000−i5i5−i5i5ii−i−i5−55−50000000000000000000000-4-4444-44-4004i−4i0011-1-11-1-1100000000i5−i5i5−i5−i−iii−55−550000000000000000000000
χ1174-44-4-444-44i−4i0000-11-11-11-1100000000−i−iii5−55−5i5−i5−i5i50000000000000000000000-44-444-4-44−4i4i00001-11-11-11-100000000ii−i−i−55−55−i5i5i5−i50000000000000000000000
χ1184-44-4-444-44i−4i0000-11-11-11-1100000000−i−iii−55−55−i5i5i5−i50000000000000000000000-44-444-4-44−4i4i00001-11-11-11-100000000ii−i−i5−55−5i5−i5−i5i50000000000000000000000
χ1194-44-4-444-4−4i4i0000-11-11-11-1100000000ii−i−i5−55−5−i5i5i5−i50000000000000000000000-44-444-4-444i−4i00001-11-11-11-100000000−i−iii−55−55i5−i5−i5i50000000000000000000000
χ1204-44-4-444-4−4i4i0000-11-11-11-1100000000ii−i−i−55−55i5−i5−i5i50000000000000000000000-44-444-4-444i−4i00001-11-11-11-100000000−i−iii5−55−5−i5i5i5−i50000000000000000000000
χ1214-4-4444-4-400004i−4i-111-1-1-111000000005−5−55−i5i5i5−i5−i−iii0000000000000000000000-444-4-4-4440000−4i4i1-1-1111-1-100000000−555−5i5−i5−i5i5ii−i−i0000000000000000000000
χ1224-4-4444-4-400004i−4i-111-1-1-11100000000−555−5i5−i5−i5i5−i−iii0000000000000000000000-444-4-4-4440000−4i4i1-1-1111-1-1000000005−5−55−i5i5i5−i5ii−i−i0000000000000000000000
χ1234-4-4444-4-40000−4i4i-111-1-1-111000000005−5−55i5−i5−i5i5ii−i−i0000000000000000000000-444-4-4-44400004i−4i1-1-1111-1-100000000−555−5−i5i5i5−i5−i−iii0000000000000000000000
χ1244-4-4444-4-40000−4i4i-111-1-1-11100000000−555−5−i5i5i5−i5ii−i−i0000000000000000000000-444-4-4-44400004i−4i1-1-1111-1-1000000005−5−55i5−i5−i5i5−i−iii0000000000000000000000
χ125888-88-8-8-8000000-2-2-2-22222000000000000000000000000000000000000000000-8-8-88-88880000002222-2-2-2-2000000000000000000000000000000000000000000
χ12688-88-8-88-8000000-2-2222-2-22000000000000000000000000000000000000000000-8-88-888-8800000022-2-2-222-2000000000000000000000000000000000000000000
χ1278-888-8-8-88000000-22-222-22-2000000000000000000000000000000000000000000-88-8-8888-80000002-22-2-22-22000000000000000000000000000000000000000000
χ1288-8-8-88-888000000-222-222-2-2000000000000000000000000000000000000000000-8888-88-8-80000002-2-22-2-222000000000000000000000000000000000000000000

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