Finite Group Databasebeta

← Group #10690922

Character table — Group #10690922

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444444444242424242424242448484848
order122222222222222222223444466666666666666666666666666666664444444444444444444444121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212888888882444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-1-1-1-1-11-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i11-1-1
χ6111111111111-1-1-1-1-1-1-1-11-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-111
χ7111111111111-1-1-1-1-1-1-1-11-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i-1-111
χ8111111111111-1-1-1-1-1-1-1-11-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−iiiii11-1-1
χ911111111-1-1-1-11111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iii−i−iii−i−i1-11-1
χ1011111111-1-1-1-11111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−iii-11-11
χ1111111111-1-1-1-11111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiii−i−iii−i−i-11-11
χ1211111111-1-1-1-11111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−iii1-11-1
χ1311111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-11
χ1411111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-111-1
χ1511111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-111-1
χ1611111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-11
χ17222222222222222222222-2-2-2-22222222222222222222222222222222-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ1822222222222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1922222222222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111000000000000
χ2022222222222222222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-200000000000000001111111111111111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3000000000000
χ2122222222222222222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-200000000000000001111111111111111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3000000000000
χ22222222222222-2-2-2-2-2-2-2-22222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22-2-2-2-2-2-2220000000000000000-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000
χ23222222222222-2-2-2-2-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-111-2-2-2-222000000000000000011111111-1-1-1-1-1-1-1-13333−3−3−3−33333−3−3−3−3−3−3−3−33333−3−3−3−33333000000000000
χ24222222222222-2-2-2-2-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-111-2-2-2-222000000000000000011111111-1-1-1-1-1-1-1-1−3−3−3−33333−3−3−3−333333333−3−3−3−33333−3−3−3−3000000000000
χ25222222222222-2-2-2-2-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1112222-2-22i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii000000000000
χ26222222222222-2-2-2-2-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1112222-2-2−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i000000000000
χ2722222222-2-2-2-22222-2-2-2-222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-22-2-2-2-222-2-20000000000000000-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ2822222222-2-2-2-22222-2-2-2-2-12222-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-111-2-222-2-200000000000000001111-1-1-1-11111-1-1-1-13333−3−3−3−3−3−3−3−333333333−3−3−3−3−3−3−3−33333000000000000
χ2922222222-2-2-2-22222-2-2-2-2-12222-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-111-2-222-2-200000000000000001111-1-1-1-11111-1-1-1-1−3−3−3−333333333−3−3−3−3−3−3−3−333333333−3−3−3−3000000000000
χ3022222222-2-2-2-22222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-11122-2-2222i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i-1-1-1-11111-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii000000000000
χ3122222222-2-2-2-22222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-11122-2-222−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i-1-1-1-11111-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i000000000000
χ3222222222-2-2-2-2-2-2-2-222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222-2-222220000000000000000-2-2-2-222222222-2-2-2-200000000000000000000000000000000000000000000
χ3322222222-2-2-2-2-2-2-2-22222-12222-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-122-2-2-2-22222-2-2-2-2-2-2-2-22222-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1000000000000
χ3422222222-2-2-2-2-2-2-2-22222-12222-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-222222222-2-2-2-2-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111000000000000
χ3522222222-2-2-2-2-2-2-2-22222-1-2-2-2-2-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-2-2222200000000000000001111-1-1-1-1-1-1-1-11111−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3000000000000
χ3622222222-2-2-2-2-2-2-2-22222-1-2-2-2-2-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-2-2222200000000000000001111-1-1-1-1-1-1-1-11111i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3000000000000
χ37222-2-22-2-2000022-2-2000022i2i−2i−2i222-2-2-2000000002222-2-2-2-2000000-200002i−2i001+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i00002i2i−2i−2i00002i2i−2i−2i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i000000000000
χ38222-2-22-2-2000022-2-2000022i2i−2i−2i222-2-2-2000000002222-2-2-2-2000000-200002i−2i00−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i00002i2i−2i−2i00002i2i−2i−2i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i000000000000
χ39222-2-22-2-2000022-2-200002−2i−2i2i2i222-2-2-2000000002222-2-2-2-2000000-20000−2i2i001−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i0000−2i−2i2i2i0000−2i−2i2i2i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i000000000000
χ40222-2-22-2-2000022-2-200002−2i−2i2i2i222-2-2-2000000002222-2-2-2-2000000-20000−2i2i00−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000−2i−2i2i2i0000−2i−2i2i2i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i000000000000
χ41222-2-22-2-2000022-2-20000-12i2i−2i−2i-1-1-1111−i3−i3−i3−i3i3i3i3i3-1-1-1-11111−i3−i3−i3i3i3i31−i3i3002i−2i001+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i33−3−3−i−iii33−3−3−i−iii−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ22−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ14−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ22−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ14−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22000000000000
χ42222-2-22-2-2000022-2-20000-12i2i−2i−2i-1-1-1111−i3−i3−i3−i3i3i3i3i3-1-1-1-11111−i3−i3−i3i3i3i31−i3i3002i−2i00−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i33−3−3−i−iii33−3−3−i−iiiζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14ζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22ζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ14ζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22ζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14ζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22ζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ14ζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22000000000000
χ43222-2-22-2-2000022-2-20000-12i2i−2i−2i-1-1-1111i3i3i3i3−i3−i3−i3−i3-1-1-1-11111i3i3i3−i3−i3−i31i3−i3002i−2i001+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−3−333−i−iii−3−333−i−iii−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ22−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ14−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ22−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ14000000000000
χ44222-2-22-2-2000022-2-20000-12i2i−2i−2i-1-1-1111i3i3i3i3−i3−i3−i3−i3-1-1-1-11111i3i3i3−i3−i3−i31i3−i3002i−2i00−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−3−333−i−iii−3−333−i−iiiζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22ζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14ζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22ζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ14ζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22ζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14ζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22ζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ14000000000000
χ45222-2-22-2-2000022-2-20000-1−2i−2i2i2i-1-1-1111−i3−i3−i3−i3i3i3i3i3-1-1-1-11111−i3−i3−i3i3i3i31−i3i300−2i2i001−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−3−333ii−i−i−3−333ii−i−i−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ14−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ22−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ14−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ22000000000000
χ46222-2-22-2-2000022-2-20000-1−2i−2i2i2i-1-1-1111−i3−i3−i3−i3i3i3i3i3-1-1-1-11111−i3−i3−i3i3i3i31−i3i300−2i2i00−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−3−333ii−i−i−3−333ii−i−iζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ14ζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22ζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14ζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22ζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ14ζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22ζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14ζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22000000000000
χ47222-2-22-2-2000022-2-20000-1−2i−2i2i2i-1-1-1111i3i3i3i3−i3−i3−i3−i3-1-1-1-11111i3i3i3−i3−i3−i31i3−i300−2i2i001−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i33−3−3ii−i−i33−3−3ii−i−i−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ14−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ22−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ14−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ22−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14000000000000
χ48222-2-22-2-2000022-2-20000-1−2i−2i2i2i-1-1-1111i3i3i3i3−i3−i3−i3−i3-1-1-1-11111i3i3i3−i3−i3−i31i3−i300−2i2i00−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i33−3−3ii−i−i33−3−3ii−i−iζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22ζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ14ζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22ζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14ζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22ζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ14ζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22ζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14000000000000
χ49222-2-22-2-20000-2-222000022i2i−2i−2i222-2-2-200000000-2-2-2-22222000000-20000−2i2i001+i1+i−1−i−1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i0000−2i−2i2i2i00002i2i−2i−2i1+i1+i−1−i−1−i1+i1+i−1−i−1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i000000000000
χ50222-2-22-2-20000-2-222000022i2i−2i−2i222-2-2-200000000-2-2-2-22222000000-20000−2i2i00−1−i−1−i1+i1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i0000−2i−2i2i2i00002i2i−2i−2i−1−i−1−i1+i1+i−1−i−1−i1+i1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i000000000000
χ51222-2-22-2-20000-2-22200002−2i−2i2i2i222-2-2-200000000-2-2-2-22222000000-200002i−2i001−i1−i−1+i−1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i00002i2i−2i−2i0000−2i−2i2i2i1−i1−i−1+i−1+i1−i1−i−1+i−1+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i000000000000
χ52222-2-22-2-20000-2-22200002−2i−2i2i2i222-2-2-200000000-2-2-2-22222000000-200002i−2i00−1+i−1+i1−i1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i00002i2i−2i−2i0000−2i−2i2i2i−1+i−1+i1−i1−i−1+i−1+i1−i1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i000000000000
χ53222-2-22-2-20000-2-2220000-12i2i−2i−2i-1-1-1111−i3−i3−i3−i3i3i3i3i31111-1-1-1-1i3i3i3−i3−i3−i31i3−i300−2i2i001+i1+i−1−i−1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i−3−333ii−i−i33−3−3−i−iii−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ22−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14ζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22ζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ14ζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22ζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ14000000000000
χ54222-2-22-2-20000-2-2220000-12i2i−2i−2i-1-1-1111−i3−i3−i3−i3i3i3i3i31111-1-1-1-1i3i3i3−i3−i3−i31i3−i300−2i2i00−1−i−1−i1+i1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i−3−333ii−i−i33−3−3−i−iiiζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22ζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ14−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ22−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14ζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22ζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ14000000000000
χ55222-2-22-2-20000-2-2220000-12i2i−2i−2i-1-1-1111i3i3i3i3−i3−i3−i3−i31111-1-1-1-1−i3−i3−i3i3i3i31−i3i300−2i2i001+i1+i−1−i−1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i33−3−3ii−i−i−3−333−i−iii−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ22ζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ14ζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22ζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14ζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ14−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22000000000000
χ56222-2-22-2-20000-2-2220000-12i2i−2i−2i-1-1-1111i3i3i3i3−i3−i3−i3−i31111-1-1-1-1−i3−i3−i3i3i3i31−i3i300−2i2i00−1−i−1−i1+i1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i33−3−3ii−i−i−3−333−i−iiiζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14ζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ14−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ22ζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ14ζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22000000000000
χ57222-2-22-2-20000-2-2220000-1−2i−2i2i2i-1-1-1111−i3−i3−i3−i3i3i3i3i31111-1-1-1-1i3i3i3−i3−i3−i31i3−i3002i−2i001−i1−i−1+i−1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i33−3−3−i−iii−3−333ii−i−i−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ14ζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22ζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14ζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22ζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ14−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ22−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14000000000000
χ58222-2-22-2-20000-2-2220000-1−2i−2i2i2i-1-1-1111−i3−i3−i3−i3i3i3i3i31111-1-1-1-1i3i3i3−i3−i3−i31i3−i3002i−2i00−1+i−1+i1−i1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i33−3−3−i−iii−3−333ii−i−iζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22ζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ14−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ22−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ14ζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22ζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14000000000000
χ59222-2-22-2-20000-2-2220000-1−2i−2i2i2i-1-1-1111i3i3i3i3−i3−i3−i3−i31111-1-1-1-1−i3−i3−i3i3i3i31−i3i3002i−2i001−i1−i−1+i−1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i−3−333−i−iii33−3−3ii−i−i−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ14−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22ζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14ζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22ζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ14ζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ22000000000000
χ60222-2-22-2-20000-2-2220000-1−2i−2i2i2i-1-1-1111i3i3i3i3−i3−i3−i3−i31111-1-1-1-1−i3−i3−i3i3i3i31−i3i3002i−2i00−1+i−1+i1−i1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i−3−333−i−iii33−3−3ii−i−iζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ14ζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ22−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ14−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22ζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14ζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22000000000000
χ6122-22-2-22-222-2-20000000022i−2i2i−2i2-2-222-222-2-222-2-200000000000000-20000002i−2i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i000000002i−2i2i−2i2i−2i2i−2i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i000000000000
χ6222-22-2-22-222-2-20000000022i−2i2i−2i2-2-222-222-2-222-2-200000000000000-20000002i−2i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i000000002i−2i2i−2i2i−2i2i−2i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i000000000000
χ6322-22-2-22-222-2-2000000002−2i2i−2i2i2-2-222-222-2-222-2-200000000000000-2000000−2i2i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i00000000−2i2i−2i2i−2i2i−2i2i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i000000000000
χ6422-22-2-22-222-2-2000000002−2i2i−2i2i2-2-222-222-2-222-2-200000000000000-2000000−2i2i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i00000000−2i2i−2i2i−2i2i−2i2i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i000000000000
χ6522-22-2-22-222-2-200000000-12i−2i2i−2i-111-1-11-1-111-1-111−i3−i3i3i3−i3−i3i3i3−i3−i3i3−i3i3i31i3−i300002i−2i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i3−33−33−33−3−ii−ii−ii−ii−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ4+ζ14000000000000
χ6622-22-2-22-222-2-200000000-12i−2i2i−2i-111-1-11-1-111-1-111−i3−i3i3i3−i3−i3i3i3−i3−i3i3−i3i3i31i3−i300002i−2i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i3−33−33−33−3−ii−ii−ii−iiζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ4−ζ14000000000000
χ6722-22-2-22-222-2-200000000-12i−2i2i−2i-111-1-11-1-111-1-111i3i3−i3−i3i3i3−i3−i3i3i3−i3i3−i3−i31−i3i300002i−2i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i−33−33−33−33−ii−ii−ii−ii−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ20+ζ22000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.