Finite Group Databasebeta

← Group #13031798

Character table — Group #13031798

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111111112222222222224444444455555555888888888888888810101010101010101010101010101010101010101010101010101010101010101010101010101010101010101616161616161616404040404040404040404040
order12224444444488888888510101020202020222244444444202020204040404040404040444488888888888888888888888888888888888888882020202020202020444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1iiii−i−i−i−i
χ61111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1−i−i−i−iiiii
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-11111−i−i−i−iiiii
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-11111iiii−i−i−i−i
χ9111111111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-111-1-111
χ11111111111111-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111
χ12111111111111-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-11111-1-111-1-1
χ13111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-111ii−i−i−i−iii
χ14111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-111−i−iiiii−i−i
χ15111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1111111-1-1−i−iiiii−i−i
χ16111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1111111-1-1ii−i−i−i−iii
χ171111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1-1-1111111-1-1-1-111-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-11-11-1i−ii−ii−ii−i
χ181111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1-1-1111111-1-1-1-111-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-11-11-1−ii−ii−ii−ii
χ191111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-1111111-1-1-1-111-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111-1-111-11-11−ii−ii−ii−ii
χ201111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-1111111-1-1-1-111-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111-11-11i−ii−ii−ii−i
χ211111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-11-111-11-1-11-11
χ221111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-11-11-11-111-11-1
χ231111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11-1-1111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1111-11-1-11-111-11-1
χ241111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1111-11-11-11-1-11-11
χ251111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-11-1-111-1-1-1-1111111-1-1-1-1-1-11111ii−i−iii−i−iii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-1111-1-11i−i−iii−i−ii
χ261111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-11-1-111-1-1-1-1111111-1-1-1-1-1-11111−i−iii−i−iii−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i11-1-1-1-1111-1-11−iii−i−iii−i
χ271111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1-1-111-1-1-1-1111111-1-1-1-1-1-11111ii−i−iii−i−iii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1-111-1−iii−i−iii−i
χ281111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1-1-111-1-1-1-1111111-1-1-1-1-1-11111−i−iii−i−iii−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1-111-1i−i−iii−i−ii
χ291111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11-1-111-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-111-11-1-11-111-1
χ301111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-111-1-111-11-1-11
χ311111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-111-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-11-111-11-1-11
χ321111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11-1-111-1-11-111-1
χ3322222222-2-2-2-20000000022222222222222220000-2-2-2-200000000-2-2-2-20000000022222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ3422222222-2-2-2-20000000022222222222222220000-2-2-2-200000000-2-2-2-200000000-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000
χ3522222222-2-2-2-20000000022222222-2-2-2-2-2-2-2-20000-2-2-2-2000000002222000000002i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000
χ3622222222-2-2-2-20000000022222222-2-2-2-2-2-2-2-20000-2-2-2-200000000222200000000−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000
χ372222-2-2-2-222-2-2000000002222-2-2-2-22222-2-2-2-2000022-2-200000000-2-222000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000
χ382222-2-2-2-222-2-2000000002222-2-2-2-22222-2-2-2-2000022-2-200000000-2-22200000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000
χ392222-2-2-2-222-2-2000000002222-2-2-2-2-2-2-2-22222000022-2-20000000022-2-20000000022-2-2-2-222-2-22222-2-2000000000000000000000000000000000000
χ402222-2-2-2-222-2-2000000002222-2-2-2-2-2-2-2-22222000022-2-20000000022-2-200000000-2-22222-2-222-2-2-2-222000000000000000000000000000000000000
χ4122-2-222-2-2000022−2−222−2−222-2-222-2-222-2-222-2-20000000022−2−222−2−2000022−2−222−2−22-22-22-22-20000000022−2−222−2−222−2−222−2−200000000000000000000
χ4222-2-222-2-2000022−2−222−2−222-2-222-2-222-2-222-2-20000000022−2−222−2−2000022−2−222−2−2-22-22-22-2200000000−2−222−2−222−2−222−2−22200000000000000000000
χ4322-2-222-2-2000022−2−222−2−222-2-222-2-2-2-222-2-2220000000022−2−222−2−20000−2−222−2−2222i−2i2i−2i−2i2i−2i2i00000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000000000000000
χ4422-2-222-2-2000022−2−222−2−222-2-222-2-2-2-222-2-2220000000022−2−222−2−20000−2−222−2−222−2i2i−2i2i2i−2i2i−2i00000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000000000000000
χ4522-2-222-2-20000−2−222−2−22222-2-222-2-222-2-222-2-200000000−2−222−2−2220000−2−222−2−2222-22-22-22-200000000−2−222−2−222−2−222−2−22200000000000000000000
χ4622-2-222-2-20000−2−222−2−22222-2-222-2-222-2-222-2-200000000−2−222−2−2220000−2−222−2−222-22-22-22-220000000022−2−222−2−222−2−222−2−200000000000000000000
χ4722-2-222-2-20000−2−222−2−22222-2-222-2-2-2-222-2-22200000000−2−222−2−222000022−2−222−2−22i−2i2i−2i−2i2i−2i2i00000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000000000000000
χ4822-2-222-2-20000−2−222−2−22222-2-222-2-2-2-222-2-22200000000−2−222−2−222000022−2−222−2−2−2i2i−2i2i2i−2i2i−2i00000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000000000000000
χ4922-2-2-2-222000022−2−2−2−22222-2-2-2-22222-2-2-2-2220000000022−2−2−2−222000022−2−2−2−2222i−2i−2i2i2i−2i−2i2i00000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200000000000000000000
χ5022-2-2-2-222000022−2−2−2−22222-2-2-2-22222-2-2-2-2220000000022−2−2−2−222000022−2−2−2−222−2i2i2i−2i−2i2i2i−2i00000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200000000000000000000
χ5122-2-2-2-222000022−2−2−2−22222-2-2-2-222-2-22222-2-20000000022−2−2−2−2220000−2−22222−2−22-2-22-222-20000000022−2−2−2−222−2−22222−2−200000000000000000000
χ5222-2-2-2-222000022−2−2−2−22222-2-2-2-222-2-22222-2-20000000022−2−2−2−2220000−2−22222−2−2-222-22-2-2200000000−2−22222−2−222−2−2−2−22200000000000000000000
χ5322-2-2-2-2220000−2−22222−2−222-2-2-2-22222-2-2-2-22200000000−2−22222−2−20000−2−22222−2−22i−2i−2i2i2i−2i−2i2i00000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200000000000000000000
χ5422-2-2-2-2220000−2−22222−2−222-2-2-2-22222-2-2-2-22200000000−2−22222−2−20000−2−22222−2−2−2i2i2i−2i−2i2i2i−2i00000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200000000000000000000
χ5522-2-2-2-2220000−2−22222−2−222-2-2-2-222-2-22222-2-200000000−2−22222−2−2000022−2−2−2−2222-2-22-222-200000000−2−22222−2−222−2−2−2−22200000000000000000000
χ5622-2-2-2-2220000−2−22222−2−222-2-2-2-222-2-22222-2-200000000−2−22222−2−2000022−2−2−2−222-222-22-2-220000000022−2−2−2−222−2−22222−2−200000000000000000000
χ572-22-22i−2i2i−2i0000i2−i2i2−i22−22−22-22-22i−2i2i−2i2-22-22i−2i2i−2i00000000i2−i2i2−i22−22−20000i2−i2i2−i22−22−200000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ371+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000000000
χ582-22-22i−2i2i−2i0000i2−i2i2−i22−22−22-22-22i−2i2i−2i2-22-22i−2i2i−2i00000000i2−i2i2−i22−22−20000i2−i2i2−i22−22−2000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000000000
χ592-22-22i−2i2i−2i0000i2−i2i2−i22−22−22-22-22i−2i2i−2i-22-22−2i2i−2i2i00000000i2−i2i2−i22−22−20000−i2i2−i2i2−22−2200000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ391−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i00000000000000000000
χ602-22-22i−2i2i−2i0000i2−i2i2−i22−22−22-22-22i−2i2i−2i-22-22−2i2i−2i2i00000000i2−i2i2−i22−22−20000−i2i2−i2i2−22−22000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i00000000000000000000
χ612-22-22i−2i2i−2i0000−i2i2−i2i2−22−222-22-22i−2i2i−2i2-22-22i−2i2i−2i00000000−i2i2−i2i2−22−220000−i2i2−i2i2−22−2200000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000000000
χ622-22-22i−2i2i−2i0000−i2i2−i2i2−22−222-22-22i−2i2i−2i2-22-22i−2i2i−2i00000000−i2i2−i2i2−22−220000−i2i2−i2i2−22−22000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ371+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000000000
χ632-22-22i−2i2i−2i0000−i2i2−i2i2−22−222-22-22i−2i2i−2i-22-22−2i2i−2i2i00000000−i2i2−i2i2−22−220000i2−i2i2−i22−22−200000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i00000000000000000000
χ642-22-22i−2i2i−2i0000−i2i2−i2i2−22−222-22-22i−2i2i−2i-22-22−2i2i−2i2i00000000−i2i2−i2i2−22−220000i2−i2i2−i22−22−2000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ391−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i00000000000000000000
χ652-22-2−2i2i−2i2i0000i2−i2i2−i2−22−222-22-2−2i2i−2i2i2-22-2−2i2i−2i2i00000000i2−i2i2−i2−22−220000i2−i2i2−i2−22−2200000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ391−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000000000000000
χ662-22-2−2i2i−2i2i0000i2−i2i2−i2−22−222-22-2−2i2i−2i2i2-22-2−2i2i−2i2i00000000i2−i2i2−i2−22−220000i2−i2i2−i2−22−22000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000000000000000
χ672-22-2−2i2i−2i2i0000i2−i2i2−i2−22−222-22-2−2i2i−2i2i-22-222i−2i2i−2i00000000i2−i2i2−i2−22−220000−i2i2−i2i22−22−200000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ371+i−1−i1+i−1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i00000000000000000000
χ682-22-2−2i2i−2i2i0000i2−i2i2−i2−22−222-22-2−2i2i−2i2i-22-222i−2i2i−2i00000000i2−i2i2−i2−22−220000−i2i2−i2i22−22−2000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−1−i1+i−1−i1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i00000000000000000000
χ692-22-2−2i2i−2i2i0000−i2i2−i2i22−22−22-22-2−2i2i−2i2i2-22-2−2i2i−2i2i00000000−i2i2−i2i22−22−20000−i2i2−i2i22−22−200000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000000000000000
χ702-22-2−2i2i−2i2i0000−i2i2−i2i22−22−22-22-2−2i2i−2i2i2-22-2−2i2i−2i2i00000000−i2i2−i2i22−22−20000−i2i2−i2i22−22−2000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ391−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000000000000000
χ712-22-2−2i2i−2i2i0000−i2i2−i2i22−22−22-22-2−2i2i−2i2i-22-222i−2i2i−2i00000000−i2i2−i2i22−22−20000i2−i2i2−i2−22−2200000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−1−i1+i−1−i1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i00000000000000000000
χ722-22-2−2i2i−2i2i0000−i2i2−i2i22−22−22-22-2−2i2i−2i2i-22-222i−2i2i−2i00000000−i2i2−i2i22−22−20000i2−i2i2−i2−22−22000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ371+i−1−i1+i−1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i00000000000000000000
χ732-2-222i−2i−2i2i2i−2i2-2000000002-2-222i−2i−2i2i2-2-222i−2i−2i2i00002i−2i2-2000000002-22i−2i000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000000000000000
χ742-2-222i−2i−2i2i2i−2i2-2000000002-2-222i−2i−2i2i2-2-222i−2i−2i2i00002i−2i2-2000000002-22i−2i0000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000000000000000
χ752-2-222i−2i−2i2i2i−2i2-2000000002-2-222i−2i−2i2i-222-2−2i2i2i−2i00002i−2i2-200000000-22−2i2i000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000000000000000
χ762-2-222i−2i−2i2i2i−2i2-2000000002-2-222i−2i−2i2i-222-2−2i2i2i−2i00002i−2i2-200000000-22−2i2i0000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000000000000000
χ772-2-222i−2i−2i2i−2i2i-222i−2i−2i2i2-2-222-2-222i−2i−2i2i2-2-222i−2i−2i2i0000−2i2i-222i−2i−2i2i2-2-22-22−2i2i2i−2i−2i2i2-2-220000000000000000000000000000000000000000000000000000
χ782-2-222i−2i−2i2i−2i2i-222i−2i−2i2i2-2-222-2-222i−2i−2i2i-222-2−2i2i2i−2i0000−2i2i-222i−2i−2i2i2-2-222-22i−2i−2i2i2i−2i-222-20000000000000000000000000000000000000000000000000000
χ792-2-222i−2i−2i2i−2i2i-22−2i2i2i−2i-222-22-2-222i−2i−2i2i2-2-222i−2i−2i2i0000−2i2i-22−2i2i2i−2i-222-2-22−2i2i−2i2i2i−2i-222-20000000000000000000000000000000000000000000000000000
χ802-2-222i−2i−2i2i−2i2i-22−2i2i2i−2i-222-22-2-222i−2i−2i2i-222-2−2i2i2i−2i0000−2i2i-22−2i2i2i−2i-222-22-22i−2i2i−2i−2i2i2-2-220000000000000000000000000000000000000000000000000000
χ812-2-22−2i2i2i−2i2i−2i-222i−2i−2i2i-222-22-2-22−2i2i2i−2i2-2-22−2i2i2i−2i00002i−2i-222i−2i−2i2i-222-2-222i−2i2i−2i−2i2i-222-20000000000000000000000000000000000000000000000000000
χ822-2-22−2i2i2i−2i2i−2i-222i−2i−2i2i-222-22-2-22−2i2i2i−2i-222-22i−2i−2i2i00002i−2i-222i−2i−2i2i-222-22-2−2i2i−2i2i2i−2i2-2-220000000000000000000000000000000000000000000000000000
χ832-2-22−2i2i2i−2i2i−2i-22−2i2i2i−2i2-2-222-2-22−2i2i2i−2i2-2-22−2i2i2i−2i00002i−2i-22−2i2i2i−2i2-2-22-222i−2i−2i2i2i−2i2-2-220000000000000000000000000000000000000000000000000000
χ842-2-22−2i2i2i−2i2i−2i-22−2i2i2i−2i2-2-222-2-22−2i2i2i−2i-222-22i−2i−2i2i00002i−2i-22−2i2i2i−2i2-2-222-2−2i2i2i−2i−2i2i-222-20000000000000000000000000000000000000000000000000000
χ852-2-22−2i2i2i−2i−2i2i2-2000000002-2-22−2i2i2i−2i2-2-22−2i2i2i−2i0000−2i2i2-2000000002-2−2i2i000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000000000000000
χ862-2-22−2i2i2i−2i−2i2i2-2000000002-2-22−2i2i2i−2i2-2-22−2i2i2i−2i0000−2i2i2-2000000002-2−2i2i0000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000000000000000
χ872-2-22−2i2i2i−2i−2i2i2-2000000002-2-22−2i2i2i−2i-222-22i−2i−2i2i0000−2i2i2-200000000-222i−2i000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000000000000000
χ882-2-22−2i2i2i−2i−2i2i2-2000000002-2-22−2i2i2i−2i-222-22i−2i−2i2i0000−2i2i2-200000000-222i−2i0000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000000000000000
χ8944444444444444444444-1-1-1-1-1-1-1-1000000004444-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000-1-1-1-1-1-1-1-1000000000000
χ9044444444444444444444-1-1-1-1-1-1-1-100000000-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000011111111000000000000
χ91444444444444-4-4-4-4-4-4-4-4-1-1-1-1-1-1-1-10000000044-4-4-1-1-1-11111111100000000000000000000000000000000000000000000-1-1-1-11111000000000000
χ92444444444444-4-4-4-4-4-4-4-4-1-1-1-1-1-1-1-100000000-4-444-1-1-1-111111111000000000000000000000000000000000000000000001111-1-1-1-1000000000000
χ934444-4-4-4-4-4-4444444-4-4-4-4-1-1-1-11111000000004-44-411-1-1-1-1-1-1111100000000000000000000000000000000000000000000-1-111-1-111000000000000
χ944444-4-4-4-4-4-4444444-4-4-4-4-1-1-1-1111100000000-44-4411-1-1-1-1-1-111110000000000000000000000000000000000000000000011-1-111-1-1000000000000
χ954444-4-4-4-4-4-444-4-4-4-44444-1-1-1-11111000000004-4-4411-1-11111-1-1-1-100000000000000000000000000000000000000000000-1-11111-1-1000000000000
χ964444-4-4-4-4-4-444-4-4-4-44444-1-1-1-1111100000000-444-411-1-11111-1-1-1-10000000000000000000000000000000000000000000011-1-1-1-111000000000000
χ974-4-444i−4i−4i4i−4i4i-444i−4i−4i4i4-4-44-111-1−iii−i000000000000i−i1-1−iii−i-111-100000000000000000000000000000000000000000000i5−i55−55−5i5−i5000000000000
χ984-4-444i−4i−4i4i−4i4i-444i−4i−4i4i4-4-44-111-1−iii−i000000000000i−i1-1−iii−i-111-100000000000000000000000000000000000000000000−i5i5−55−55−i5i5000000000000
χ994-4-444i−4i−4i4i−4i4i-44−4i4i4i−4i-444-4-111-1−iii−i000000000000i−i1-1i−i−ii1-1-1100000000000000000000000000000000000000000000i5−i55−5−55−i5i5000000000000
χ1004-4-444i−4i−4i4i−4i4i-44−4i4i4i−4i-444-4-111-1−iii−i000000000000i−i1-1i−i−ii1-1-1100000000000000000000000000000000000000000000−i5i5−555−5i5−i5000000000000
χ1014-4-44−4i4i4i−4i4i−4i-444i−4i−4i4i-444-4-111-1i−i−ii000000000000−ii1-1−iii−i1-1-1100000000000000000000000000000000000000000000i5−i5−555−5−i5i5000000000000
χ1024-4-44−4i4i4i−4i4i−4i-444i−4i−4i4i-444-4-111-1i−i−ii000000000000−ii1-1−iii−i1-1-1100000000000000000000000000000000000000000000−i5i55−5−55i5−i5000000000000
χ1034-4-44−4i4i4i−4i4i−4i-44−4i4i4i−4i4-4-44-111-1i−i−ii000000000000−ii1-1i−i−ii-111-100000000000000000000000000000000000000000000i5−i5−55−55i5−i5000000000000
χ1044-4-44−4i4i4i−4i4i−4i-44−4i4i4i−4i4-4-44-111-1i−i−ii000000000000−ii1-1i−i−ii-111-100000000000000000000000000000000000000000000−i5i55−55−5−i5i5000000000000
χ10588888888-8-8-8-800000000-2-2-2-2-2-2-2-20000000000002222000000000000000000000000000000000000000000000000000000000000000000000000
χ1068888-8-8-8-888-8-800000000-2-2-2-22222000000000000-2-222000000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-888-8-800004242−42−424242−42−42-2-222-2-2220000000000000000−2−222−2−2220000000000000000000000000000000000000000000000000000000000000000
χ10888-8-888-8-80000−42−424242−42−424242-2-222-2-222000000000000000022−2−222−2−20000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-8-88800004242−42−42−42−424242-2-22222-2-20000000000000000−2−22222−2−20000000000000000000000000000000000000000000000000000000000000000
χ11088-8-8-8-8880000−42−4242424242−42−42-2-22222-2-2000000000000000022−2−2−2−2220000000000000000000000000000000000000000000000000000000000000000
χ1118-88-88i−8i8i−8i00004i2−4i24i2−4i242−4242−42-22-22−2i2i−2i2i0000000000000000−i2i2−i2i2−22−220000000000000000000000000000000000000000000000000000000000000000
χ1128-88-88i−8i8i−8i0000−4i24i2−4i24i2−4242−4242-22-22−2i2i−2i2i0000000000000000i2−i2i2−i22−22−20000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8−8i8i−8i8i00004i2−4i24i2−4i2−4242−4242-22-222i−2i2i−2i0000000000000000−i2i2−i2i22−22−20000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8−8i8i−8i8i0000−4i24i2−4i24i242−4242−42-22-222i−2i2i−2i0000000000000000i2−i2i2−i2−22−220000000000000000000000000000000000000000000000000000000000000000
χ1158-8-888i−8i−8i8i8i−8i8-800000000-222-2−2i2i2i−2i000000000000−2i2i-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88−8i8i8i−8i−8i8i8-800000000-222-22i−2i−2i2i0000000000002i−2i-22000000000000000000000000000000000000000000000000000000000000000000000000

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