Finite Group Databasebeta

← Group #495858

Character table — Group #495858

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222222222222222222222222222222224444444444444444444444444444444444444444444416161616161616161616161616161616
order122222224444444444448888888816161616161616161616161616161616224444448888888888881616161616161616161616161616161616161616161616162222444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-111
χ91111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1
χ101111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-1
χ121111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-11111
χ131111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-111
χ141111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-1
χ151111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ161111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ1711-11-11-1-11-1ii−i−iii−i−i1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-11-1i−ii−iii−i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1-11-11-1i−i1-1i−ii−ii−i
χ1811-11-11-1-11-1ii−i−iii−i−i1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-11-1i−ii−iii−i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-11-11-11−ii-11−ii−ii−ii
χ1911-11-11-1-11-1ii−i−iii−i−i1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11−ii−iiii−i−i-1-111−i−iiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1-11-1-11−ii-11−iii−ii−i
χ2011-11-11-1-11-1ii−i−iii−i−i1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11−ii−iiii−i−i-1-111−i−iiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-11-111-1i−i1-1i−i−ii−ii
χ2111-11-11-1-11-1ii−i−iii−i−i1-111-1-111-1-1-1-1-1-1-1-1-1-1111111111-11-1i−ii−iii−i−i11-1-1ii−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii1-1-111-1i−i-11−iii−i−ii
χ2211-11-11-1-11-1ii−i−iii−i−i1-111-1-111-1-1-1-1-1-1-1-1-1-1111111111-11-1i−ii−iii−i−i11-1-1ii−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii-111-1-11−ii1-1i−i−iii−i
χ2311-11-11-1-11-1ii−i−iii−i−i1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-11-11−ii−iiii−i−i-1-111−i−iii−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i1-1-11-11−ii1-1i−ii−i−ii
χ2411-11-11-1-11-1ii−i−iii−i−i1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-11-11−ii−iiii−i−i-1-111−i−iii−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-111-11-1i−i-11−ii−iii−i
χ2511-11-11-1-11-1−i−iii−i−iii1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-11-1−ii−ii−i−iii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1-11-11-1−ii1-1−ii−ii−ii
χ2611-11-11-1-11-1−i−iii−i−iii1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-11-1−ii−ii−i−iii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-11-11-11i−i-11i−ii−ii−i
χ2711-11-11-1-11-1−i−iii−i−iii1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11i−ii−i−i−iii-1-111ii−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1-11-1-11i−i-11i−i−ii−ii
χ2811-11-11-1-11-1−i−iii−i−iii1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11i−ii−i−i−iii-1-111ii−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-11-111-1−ii1-1−iii−ii−i
χ2911-11-11-1-11-1−i−iii−i−iii1-111-1-111-1-1-1-1-1-1-1-1-1-1111111111-11-1−ii−ii−i−iii11-1-1−i−iiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i1-1-111-1−ii-11i−i−iii−i
χ3011-11-11-1-11-1−i−iii−i−iii1-111-1-111-1-1-1-1-1-1-1-1-1-1111111111-11-1−ii−ii−i−iii11-1-1−i−iiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i-111-1-11i−i1-1−iii−i−ii
χ3111-11-11-1-11-1−i−iii−i−iii1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-11-11i−ii−i−i−iii-1-111ii−i−iiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii1-1-11-11i−i1-1−ii−iii−i
χ3211-11-11-1-11-1−i−iii−i−iii1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-11-11i−ii−i−i−iii-1-111ii−i−iiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-111-11-1−ii-11i−ii−i−ii
χ3322222222222222222222-2-2-2-2-2-2-2-2000000000000000022222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ3422222222222222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ352222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-200000000000000002222-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ362222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2222222222222-2-2-2-20000000000000000000000000000000000000000
χ3722222222-2-22222-2-2-2-2-2-2000000002222−2−2−2−22222−2−2−2−222-2-2-2-22200000000000022−2−222−2−222−2−222−2−222−2−222−2−20000000000000000
χ3822222222-2-22222-2-2-2-2-2-2000000002222−2−2−2−22222−2−2−2−2-2-22222-2-200000000000022−2−222−2−2−2−222−2−222−2−222−2−2220000000000000000
χ3922222222-2-22222-2-2-2-2-2-200000000−2−2−2−22222−2−2−2−2222222-2-2-2-222000000000000−2−222−2−222−2−222−2−222−2−222−2−2220000000000000000
χ4022222222-2-22222-2-2-2-2-2-200000000−2−2−2−22222−2−2−2−22222-2-22222-2-2000000000000−2−222−2−22222−2−222−2−222−2−222−2−20000000000000000
χ4122222222-2-2-2-2-2-22222-2-2000000002222−2−2−2−22222−2−2−2−222-2-222-2-2000000000000−2−222−2−22222−2−222−2−2−2−222−2−2220000000000000000
χ4222222222-2-2-2-2-2-22222-2-2000000002222−2−2−2−22222−2−2−2−2-2-222-2-222000000000000−2−222−2−222−2−222−2−22222−2−222−2−20000000000000000
χ4322222222-2-2-2-2-2-22222-2-200000000−2−2−2−22222−2−2−2−2222222-2-222-2-200000000000022−2−222−2−2−2−222−2−22222−2−222−2−20000000000000000
χ4422222222-2-2-2-2-2-22222-2-200000000−2−2−2−22222−2−2−2−22222-2-222-2-22200000000000022−2−222−2−222−2−222−2−2−2−222−2−2220000000000000000
χ4522-22-22-2-22-22i2i−2i−2i2i2i−2i−2i2-2-2-222-2-22200000000000000002-22-22i−2i2i−2i−2i−2i2i2i-2-222−2i−2i2i2i0000000000000000000000000000000000000000
χ4622-22-22-2-22-22i2i−2i−2i2i2i−2i−2i2-2-2-222-2-2220000000000000000-22-22−2i2i−2i2i−2i−2i2i2i22-2-22i2i−2i−2i0000000000000000000000000000000000000000
χ4722-22-22-2-22-2−2i−2i2i2i−2i−2i2i2i2-2-2-222-2-22200000000000000002-22-2−2i2i−2i2i2i2i−2i−2i-2-2222i2i−2i−2i0000000000000000000000000000000000000000
χ4822-22-22-2-22-2−2i−2i2i2i−2i−2i2i2i2-2-2-222-2-2220000000000000000-22-222i−2i2i−2i2i2i−2i−2i22-2-2−2i−2i2i2i0000000000000000000000000000000000000000
χ4922-22-22-2-2-222i2i−2i−2i−2i−2i2i2i-22000000002222−2−2−2−2−2−2−2−222222-2-22−2i2i2i−2i000000000000i2i2−i2−i2−i2−i2i2i222−2−2−2−222i2i2−i2−i2−i2−i2i2i20000000000000000
χ5022-22-22-2-2-222i2i−2i−2i−2i−2i2i2i-22000000002222−2−2−2−2−2−2−2−22222-222-22i−2i−2i2i000000000000i2i2−i2−i2−i2−i2i2i2−2−22222−2−2−i2−i2i2i2i2i2−i2−i20000000000000000
χ5122-22-22-2-2-222i2i−2i−2i−2i−2i2i2i-2200000000−2−2−2−222222222−2−2−2−22-2-22−2i2i2i−2i000000000000−i2−i2i2i2i2i2−i2−i2−2−22222−2−2−i2−i2i2i2i2i2−i2−i20000000000000000
χ5222-22-22-2-2-222i2i−2i−2i−2i−2i2i2i-2200000000−2−2−2−222222222−2−2−2−2-222-22i−2i−2i2i000000000000−i2−i2i2i2i2i2−i2−i222−2−2−2−222i2i2−i2−i2−i2−i2i2i20000000000000000
χ5322-22-22-2-2-22−2i−2i2i2i2i2i−2i−2i-22000000002222−2−2−2−2−2−2−2−222222-2-222i−2i−2i2i000000000000−i2−i2i2i2i2i2−i2−i222−2−2−2−222−i2−i2i2i2i2i2−i2−i20000000000000000
χ5422-22-22-2-2-22−2i−2i2i2i2i2i−2i−2i-22000000002222−2−2−2−2−2−2−2−22222-222-2−2i2i2i−2i000000000000−i2−i2i2i2i2i2−i2−i2−2−22222−2−2i2i2−i2−i2−i2−i2i2i20000000000000000
χ5522-22-22-2-2-22−2i−2i2i2i2i2i−2i−2i-2200000000−2−2−2−222222222−2−2−2−22-2-222i−2i−2i2i000000000000i2i2−i2−i2−i2−i2i2i2−2−22222−2−2i2i2−i2−i2−i2−i2i2i20000000000000000
χ5622-22-22-2-2-22−2i−2i2i2i2i2i−2i−2i-2200000000−2−2−2−222222222−2−2−2−2-222-2−2i2i2i−2i000000000000i2i2−i2−i2−i2−i2i2i222−2−2−2−222−i2−i2i2i2i2i2−i2−i20000000000000000
χ572-222-2-22-22-22i−2i2i−2i2i−2i2i−2i-220000000022−2−222−2−222−2−222−2−20000000000002i−2i2i−2i2-22-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22−22−22−22−20000000000000000
χ582-222-2-22-22-22i−2i2i−2i2i−2i2i−2i-220000000022−2−222−2−222−2−222−2−2000000000000−2i2i−2i2i-22-22i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2−22−22−22−220000000000000000
χ592-222-2-22-22-22i−2i2i−2i2i−2i2i−2i-2200000000−2−222−2−222−2−222−2−2220000000000002i−2i2i−2i2-22-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−22−22−22−220000000000000000
χ602-222-2-22-22-22i−2i2i−2i2i−2i2i−2i-2200000000−2−222−2−222−2−222−2−222000000000000−2i2i−2i2i-22-22−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i22−22−22−22−20000000000000000
χ612-222-2-22-22-2−2i2i−2i2i−2i2i−2i2i-220000000022−2−222−2−222−2−222−2−20000000000002i−2i2i−2i-22-22−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−22−22−22−220000000000000000
χ622-222-2-22-22-2−2i2i−2i2i−2i2i−2i2i-220000000022−2−222−2−222−2−222−2−2000000000000−2i2i−2i2i2-22-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22−22−22−22−20000000000000000
χ632-222-2-22-22-2−2i2i−2i2i−2i2i−2i2i-2200000000−2−222−2−222−2−222−2−2220000000000002i−2i2i−2i-22-22i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i22−22−22−22−20000000000000000
χ642-222-2-22-22-2−2i2i−2i2i−2i2i−2i2i-2200000000−2−222−2−222−2−222−2−222000000000000−2i2i−2i2i2-22-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−22−22−22−220000000000000000
χ652-222-2-22-2-222i−2i2i−2i−2i2i−2i2i2-222-2-2-2-2220000000000000000000000002i−2i2i−2i00000000000000002i−2i−2i2i2i−2i−2i2i2-2-222-2-220000000000000000
χ662-222-2-22-2-222i−2i2i−2i−2i2i−2i2i2-222-2-2-2-2220000000000000000000000002i−2i2i−2i0000000000000000−2i2i2i−2i−2i2i2i−2i-222-2-222-20000000000000000
χ672-222-2-22-2-222i−2i2i−2i−2i2i−2i2i2-2-2-22222-2-222-2-2-2-22222-2-2-2-22200000000−2i2i−2i2i000000002i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ682-222-2-22-2-222i−2i2i−2i−2i2i−2i2i2-2-2-22222-2-2-2-22222-2-2-2-22222-2-200000000−2i2i−2i2i00000000−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ692-222-2-22-2-22−2i2i−2i2i2i−2i2i−2i2-222-2-2-2-222000000000000000000000000−2i2i−2i2i00000000000000002i−2i−2i2i2i−2i−2i2i-222-2-222-20000000000000000
χ702-222-2-22-2-22−2i2i−2i2i2i−2i2i−2i2-222-2-2-2-222000000000000000000000000−2i2i−2i2i0000000000000000−2i2i2i−2i−2i2i2i−2i2-2-222-2-220000000000000000
χ712-222-2-22-2-22−2i2i−2i2i2i−2i2i−2i2-2-2-22222-2-222-2-2-2-22222-2-2-2-222000000002i−2i2i−2i00000000−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ722-222-2-22-2-22−2i2i−2i2i2i−2i2i−2i2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2000000002i−2i2i−2i000000002i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ732-2-222-2-22222-2-222-2-22-2-20000000022−2−222−2−2−2−222−2−2220000000000002i−2i−2i2i−2i2i2i−2i2−22−2−22−22i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i20000000000000000
χ742-2-222-2-22222-2-222-2-22-2-20000000022−2−222−2−2−2−222−2−222000000000000−2i2i2i−2i2i−2i−2i2i2−22−2−22−22−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i20000000000000000
χ752-2-222-2-22222-2-222-2-22-2-200000000−2−222−2−22222−2−222−2−20000000000002i−2i−2i2i−2i2i2i−2i−22−222−22−2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i20000000000000000
χ762-2-222-2-22222-2-222-2-22-2-200000000−2−222−2−22222−2−222−2−2000000000000−2i2i2i−2i2i−2i−2i2i−22−222−22−2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i20000000000000000
χ772-2-222-2-2222-222-2-222-2-2-20000000022−2−222−2−2−2−222−2−2220000000000002i−2i−2i2i2i−2i−2i2i−22−222−22−2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i20000000000000000
χ782-2-222-2-2222-222-2-222-2-2-20000000022−2−222−2−2−2−222−2−222000000000000−2i2i2i−2i−2i2i2i−2i−22−222−22−2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000000000
χ792-2-222-2-2222-222-2-222-2-2-200000000−2−222−2−22222−2−222−2−20000000000002i−2i−2i2i2i−2i−2i2i2−22−2−22−22−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000000000
χ802-2-222-2-2222-222-2-222-2-2-200000000−2−222−2−22222−2−222−2−2000000000000−2i2i2i−2i−2i2i2i−2i2−22−2−22−22i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i20000000000000000
χ812-2-222-2-22-2-22-2-22-222-2222222-2-2-2-20000000000000000000000002-2-2200000000000000002i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i0000000000000000
χ822-2-222-2-22-2-22-2-22-222-2222222-2-2-2-20000000000000000000000002-2-220000000000000000−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i0000000000000000
χ832-2-222-2-22-2-22-2-22-222-222-2-2-2-2222222-2-2-2-222-2-22222-2-200000000-222-2000000002-2-22-222-200000000000000000000000000000000
χ842-2-222-2-22-2-22-2-22-222-222-2-2-2-22222-2-22222-2-222-2-2-2-22200000000-222-200000000-222-22-2-2200000000000000000000000000000000
χ852-2-222-2-22-2-2-222-22-2-22222222-2-2-2-2000000000000000000000000-222-200000000000000002i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i0000000000000000
χ862-2-222-2-22-2-2-222-22-2-22222222-2-2-2-2000000000000000000000000-222-20000000000000000−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i0000000000000000
χ872-2-222-2-22-2-2-222-22-2-2222-2-2-2-2222222-2-2-2-222-2-22222-2-2000000002-2-2200000000-222-22-2-2200000000000000000000000000000000
χ882-2-222-2-22-2-2-222-22-2-2222-2-2-2-22222-2-22222-2-222-2-2-2-222000000002-2-22000000002-2-22-222-200000000000000000000000000000000
χ89444-44-4-4-400000000000022−2222−2222−2222−222ζ−2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ+2ζ72ζ3−2ζ5−2ζ3+2ζ52ζ3−2ζ5−2ζ3+2ζ52ζ−2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ+2ζ72ζ3−2ζ5−2ζ3+2ζ52ζ3−2ζ5−2ζ3+2ζ5000000000000000000000000000000000000000000000000000000000000
χ90444-44-4-4-400000000000022−2222−2222−2222−22−2ζ+2ζ72ζ−2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ3+2ζ52ζ3−2ζ5−2ζ3+2ζ52ζ3−2ζ5−2ζ+2ζ72ζ−2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ3+2ζ52ζ3−2ζ5−2ζ3+2ζ52ζ3−2ζ5000000000000000000000000000000000000000000000000000000000000
χ91444-44-4-4-4000000000000−2222−2222−2222−22222ζ3−2ζ5−2ζ3+2ζ52ζ3−2ζ5−2ζ3+2ζ5−2ζ+2ζ72ζ−2ζ7−2ζ+2ζ72ζ−2ζ72ζ3−2ζ5−2ζ3+2ζ52ζ3−2ζ5−2ζ3+2ζ5−2ζ+2ζ72ζ−2ζ7−2ζ+2ζ72ζ−2ζ7000000000000000000000000000000000000000000000000000000000000
χ92444-44-4-4-4000000000000−2222−2222−2222−2222−2ζ3+2ζ52ζ3−2ζ5−2ζ3+2ζ52ζ3−2ζ52ζ−2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ+2ζ7−2ζ3+2ζ52ζ3−2ζ5−2ζ3+2ζ52ζ3−2ζ52ζ−2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ+2ζ7000000000000000000000000000000000000000000000000000000000000
χ9344-4-4-4-44400000000000022−22−222222−22−22222ζ−2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ+2ζ72ζ3−2ζ5−2ζ3+2ζ52ζ3−2ζ5−2ζ3+2ζ5−2ζ+2ζ72ζ−2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ3+2ζ52ζ3−2ζ5−2ζ3+2ζ52ζ3−2ζ5000000000000000000000000000000000000000000000000000000000000
χ9444-4-4-4-44400000000000022−22−222222−22−2222−2ζ+2ζ72ζ−2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ3+2ζ52ζ3−2ζ5−2ζ3+2ζ52ζ3−2ζ52ζ−2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ+2ζ72ζ3−2ζ5−2ζ3+2ζ52ζ3−2ζ5−2ζ3+2ζ5000000000000000000000000000000000000000000000000000000000000
χ9544-4-4-4-444000000000000−222222−22−222222−222ζ3−2ζ5−2ζ3+2ζ52ζ3−2ζ5−2ζ3+2ζ5−2ζ+2ζ72ζ−2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ3+2ζ52ζ3−2ζ5−2ζ3+2ζ52ζ3−2ζ52ζ−2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ+2ζ7000000000000000000000000000000000000000000000000000000000000
χ9644-4-4-4-444000000000000−222222−22−222222−22−2ζ3+2ζ52ζ3−2ζ5−2ζ3+2ζ52ζ3−2ζ52ζ−2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ+2ζ72ζ3−2ζ5−2ζ3+2ζ52ζ3−2ζ5−2ζ3+2ζ5−2ζ+2ζ72ζ−2ζ7−2ζ+2ζ72ζ−2ζ7000000000000000000000000000000000000000000000000000000000000
χ974-44-4-44-4400000000000022−22−2222−222222−222ζ3−2ζ5−2ζ3+2ζ5−2ζ3+2ζ52ζ3−2ζ52ζ−2ζ7−2ζ+2ζ7−2ζ+2ζ72ζ−2ζ72ζ3−2ζ5−2ζ3+2ζ5−2ζ3+2ζ52ζ3−2ζ52ζ−2ζ7−2ζ+2ζ7−2ζ+2ζ72ζ−2ζ7000000000000000000000000000000000000000000000000000000000000
χ984-44-4-44-4400000000000022−22−2222−222222−22−2ζ3+2ζ52ζ3−2ζ52ζ3−2ζ5−2ζ3+2ζ5−2ζ+2ζ72ζ−2ζ72ζ−2ζ7−2ζ+2ζ7−2ζ3+2ζ52ζ3−2ζ52ζ3−2ζ5−2ζ3+2ζ5−2ζ+2ζ72ζ−2ζ72ζ−2ζ7−2ζ+2ζ7000000000000000000000000000000000000000000000000000000000000
χ994-44-4-44-44000000000000−222222−2222−22−22222ζ−2ζ7−2ζ+2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ3+2ζ52ζ3−2ζ52ζ3−2ζ5−2ζ3+2ζ52ζ−2ζ7−2ζ+2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ3+2ζ52ζ3−2ζ52ζ3−2ζ5−2ζ3+2ζ5000000000000000000000000000000000000000000000000000000000000
χ1004-44-4-44-44000000000000−222222−2222−22−2222−2ζ+2ζ72ζ−2ζ72ζ−2ζ7−2ζ+2ζ72ζ3−2ζ5−2ζ3+2ζ5−2ζ3+2ζ52ζ3−2ζ5−2ζ+2ζ72ζ−2ζ72ζ−2ζ7−2ζ+2ζ72ζ3−2ζ5−2ζ3+2ζ5−2ζ3+2ζ52ζ3−2ζ5000000000000000000000000000000000000000000000000000000000000
χ1014-4-4-4444-400000000000022−2222−22−2222−22222ζ3−2ζ5−2ζ3+2ζ5−2ζ3+2ζ52ζ3−2ζ52ζ−2ζ7−2ζ+2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ3+2ζ52ζ3−2ζ52ζ3−2ζ5−2ζ3+2ζ5−2ζ+2ζ72ζ−2ζ72ζ−2ζ7−2ζ+2ζ7000000000000000000000000000000000000000000000000000000000000
χ1024-4-4-4444-400000000000022−2222−22−2222−2222−2ζ3+2ζ52ζ3−2ζ52ζ3−2ζ5−2ζ3+2ζ5−2ζ+2ζ72ζ−2ζ72ζ−2ζ7−2ζ+2ζ72ζ3−2ζ5−2ζ3+2ζ5−2ζ3+2ζ52ζ3−2ζ52ζ−2ζ7−2ζ+2ζ7−2ζ+2ζ72ζ−2ζ7000000000000000000000000000000000000000000000000000000000000
χ1034-4-4-4444-4000000000000−2222−222222−2222−222ζ−2ζ7−2ζ+2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ3+2ζ52ζ3−2ζ52ζ3−2ζ5−2ζ3+2ζ5−2ζ+2ζ72ζ−2ζ72ζ−2ζ7−2ζ+2ζ72ζ3−2ζ5−2ζ3+2ζ5−2ζ3+2ζ52ζ3−2ζ5000000000000000000000000000000000000000000000000000000000000
χ1044-4-4-4444-4000000000000−2222−222222−2222−22−2ζ+2ζ72ζ−2ζ72ζ−2ζ7−2ζ+2ζ72ζ3−2ζ5−2ζ3+2ζ5−2ζ3+2ζ52ζ3−2ζ52ζ−2ζ7−2ζ+2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ3+2ζ52ζ3−2ζ52ζ3−2ζ5−2ζ3+2ζ5000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.