Finite Group Databasebeta

← Group #72227271

Character table — Group #72227271

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134
size111122222222222222444444444444444444444444444444444444444488888888888888888888888888888888888888883232323232323232323232323232323232323232323232323232323232323232128128128128
order122222444488888888444488888888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232323232323232322244
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-1
χ6111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-111
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-111
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-1
χ91111-1-11111-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ61-1i−i
χ101111-1-11111-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6-11−ii
χ111111-1-11111-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6-11−ii
χ121111-1-11111-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ61-1i−i
χ131111-1-11111-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ21-1−ii
χ141111-1-11111-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2-11i−i
χ151111-1-11111-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2-11i−i
χ161111-1-11111-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ21-1−ii
χ172222222222222222222222222222222222222222222222-2-2-2-22222-2-2-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ18222222222222222222222222222222222222222222-2-2-2-22222-2-2-2-22222-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ1922222222222222-2-2-2-222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-200002222000022220022002200000000000000000000-2-2-2-20000-2-2-2-222−2−222−2−222−2−222−2−200000000000000000000
χ2022222222222222-2-2-2-222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-200002222000022220022002200000000000000000000-2-2-2-20000-2-2-2-2−2−222−2−222−2−222−2−22200000000000000000000
χ2122222222222222-2-2-2-222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-20000-2-2-2-20000-2-2-2-200-2-200-2-200000000000000000000222200002222i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000000000000000
χ2222222222222222-2-2-2-222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-20000-2-2-2-20000-2-2-2-200-2-200-2-200000000000000000000222200002222−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000000000000000
χ232222222222-2-2-2-222222222-2-2-2-22222-2-2-2-2-2-222-2-2-2-22222000022220000220022000000000000000000-2-2-2-20000-2-2-2-20000000000000000000022−2−222−2−222−2−222−2−20000
χ242222222222-2-2-2-222222222-2-2-2-22222-2-2-2-2-2-222-2-2-2-22222000022220000220022000000000000000000-2-2-2-20000-2-2-2-200000000000000000000−2−222−2−222−2−222−2−2220000
χ252222222222-2-2-2-222222222-2-2-2-22222-2-2-2-2-2-222-2-2-2-2-2-2-2-20000-2-2-2-20000-2-200-2-200000000000000000022220000222200000000000000000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000
χ262222222222-2-2-2-222222222-2-2-2-22222-2-2-2-2-2-222-2-2-2-2-2-2-2-20000-2-2-2-20000-2-200-2-200000000000000000022220000222200000000000000000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000
χ2722222222-2-2000022222-2-2-2000022-2-2000000-2-20000222222−2−2222222−2−2-2-22−2-2-22−22222−2−2−2−22222−2−2−2−2000022−2−2000022−2−20000000000000000ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ50000
χ2822222222-2-2000022222-2-2-2000022-2-2000000-2-20000222222−2−2222222−2−2-2-22−2-2-22−22222−2−2−2−22222−2−2−2−2000022−2−2000022−2−20000000000000000−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ50000
χ2922222222-2-2000022222-2-2-2000022-2-2000000-2-200002222−2−2222222−2−222-2-2−22-2-2−22−2−2−2−22222−2−2−2−222220000−2−2220000−2−2220000000000000000ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ70000
χ3022222222-2-2000022222-2-2-2000022-2-2000000-2-200002222−2−2222222−2−222-2-2−22-2-2−22−2−2−2−22222−2−2−2−222220000−2−2220000−2−2220000000000000000−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ70000
χ3122222222-2-2000022222-2-2-2000022-2-2000000-2-20000-2-2-2-222−2−2-2-2-2-222−2−2222−2222−2−2−2−2−22222−2−2−2−22222000022−2−2000022−2−20000000000000000ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ50000
χ3222222222-2-2000022222-2-2-2000022-2-2000000-2-20000-2-2-2-222−2−2-2-2-2-222−2−2222−2222−2−2−2−2−22222−2−2−2−22222000022−2−2000022−2−20000000000000000−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ50000
χ3322222222-2-2000022222-2-2-2000022-2-2000000-2-20000-2-2-2-2−2−222-2-2-2-2−2−22222−2222−222222−2−2−2−22222−2−2−2−20000−2−2220000−2−2220000000000000000ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ70000
χ3422222222-2-2000022222-2-2-2000022-2-2000000-2-20000-2-2-2-2−2−222-2-2-2-2−2−22222−2222−222222−2−2−2−22222−2−2−2−20000−2−2220000−2−2220000000000000000−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ70000
χ35222222-2-22222220000-22-2-222-2-200000000-2-200000022−2−2222222−2−222222−2-2-22−2-2-222−2−222−2−222−2−222−2−222−2−2000022−2−20000ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ500000000000000000000
χ36222222-2-22222220000-22-2-222-2-200000000-2-200000022−2−2222222−2−222222−2-2-22−2-2-222−2−222−2−222−2−222−2−222−2−2000022−2−20000−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ500000000000000000000
χ37222222-2-22222220000-22-2-222-2-200000000-2-200000022−2−2-2-2-2-222−2−2-2-2-2-22−2222−222−2−222−2−222−2−222−2−22222−2−2000022−2−20000ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ500000000000000000000
χ38222222-2-22222220000-22-2-222-2-200000000-2-200000022−2−2-2-2-2-222−2−2-2-2-2-22−2222−222−2−222−2−222−2−222−2−22222−2−2000022−2−20000−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ500000000000000000000
χ39222222-2-22222220000-22-2-222-2-200000000-2-2000000−2−2222222−2−2222222−22-2-2−22-2-2−2−222−2−222−2−222−2−222−2−2220000−2−2220000ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ700000000000000000000
χ40222222-2-22222220000-22-2-222-2-200000000-2-2000000−2−2222222−2−2222222−22-2-2−22-2-2−2−222−2−222−2−222−2−222−2−2220000−2−2220000−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ700000000000000000000
χ41222222-2-22222220000-22-2-222-2-200000000-2-2000000−2−222-2-2-2-2−2−222-2-2-2-2−2222−222222−2−222−2−222−2−222−2−2−2−2220000−2−2220000ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ700000000000000000000
χ42222222-2-22222220000-22-2-222-2-200000000-2-2000000−2−222-2-2-2-2−2−222-2-2-2-2−2222−222222−2−222−2−222−2−222−2−2−2−2220000−2−2220000−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ700000000000000000000
χ432222-2-222222222-2-2-2-2-2-2-22-2-2-2-22222222222-2-2-2-2-2-22i2i2i2i0000−2i−2i−2i−2i00002i2i00−2i−2i000000000000000000−2i−2i−2i−2i00002i2i2i2i000000000000000000001+i1+i−1−i−1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i0000
χ442222-2-222222222-2-2-2-2-2-2-22-2-2-2-22222222222-2-2-2-2-2-22i2i2i2i0000−2i−2i−2i−2i00002i2i00−2i−2i000000000000000000−2i−2i−2i−2i00002i2i2i2i00000000000000000000−1−i−1−i1+i1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i0000
χ452222-2-222222222-2-2-2-2-2-2-22-2-2-2-22222222222-2-2-2-2-2-2−2i−2i−2i−2i00002i2i2i2i0000−2i−2i002i2i0000000000000000002i2i2i2i0000−2i−2i−2i−2i000000000000000000001−i1−i−1+i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i0000
χ462222-2-222222222-2-2-2-2-2-2-22-2-2-2-22222222222-2-2-2-2-2-2−2i−2i−2i−2i00002i2i2i2i0000−2i−2i002i2i0000000000000000002i2i2i2i0000−2i−2i−2i−2i00000000000000000000−1+i−1+i1−i1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1−i−1−i1+i1+i0000
χ472222-2-22222-2-2-2-22222-2-2-222222-2-2-2-22222-2-222-2-2-2-200002i2i2i2i0000−2i−2i−2i−2i002i2i00−2i−2i00000000000000000000−2i−2i−2i−2i00002i2i2i2i1+i1+i−1−i−1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i00000000000000000000
χ482222-2-22222-2-2-2-22222-2-2-222222-2-2-2-22222-2-222-2-2-2-200002i2i2i2i0000−2i−2i−2i−2i002i2i00−2i−2i00000000000000000000−2i−2i−2i−2i00002i2i2i2i−1−i−1−i1+i1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i00000000000000000000
χ492222-2-22222-2-2-2-22222-2-2-222222-2-2-2-22222-2-222-2-2-2-20000−2i−2i−2i−2i00002i2i2i2i00−2i−2i002i2i000000000000000000002i2i2i2i0000−2i−2i−2i−2i1−i1−i−1+i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i00000000000000000000
χ502222-2-22222-2-2-2-22222-2-2-222222-2-2-2-22222-2-222-2-2-2-20000−2i−2i−2i−2i00002i2i2i2i00−2i−2i002i2i000000000000000000002i2i2i2i0000−2i−2i−2i−2i−1+i−1+i1−i1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1−i−1−i1+i1+i00000000000000000000
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χ1198-88-800008-8000042−4242−420000008-8000042−4242−420042−42000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1228-88-800008-80000−4242−4242000000-88000042−4242−4200−4242000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-88-80000-888-88-842−4242−42000000000000000000−424242−4242−4200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1338-8-8800-8800−424242−428-8-88000000000000000042−4200−424242−4200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1348-8-8800-8800−424242−42-888-8000000000000000042−420042−42−424200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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