Finite Group Databasebeta

← Group #192608

Character table — Group #192608

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222244444444444444444488888888888888881616111111112222222244444444444444444488888888888888881616
order12222222444444444444444444888888882244444488888888442222222244444444444444444488888888224444448888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111111111111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-11111-1-111111111111111111-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91-111-11-1-111-11-1-1-11-111-1-1ii−i−i11111-1-1-1-11-1i−iii−i−i11-1-1ii−i−ii−i1-111-11-1-111-11-1-1-11-111-1-1ii−i−i11111-1-1-1-11-1i−iii−i−i11-1-1ii−i−ii−i
χ101-111-11-1-111-11-1-1-11-111-1-1ii−i−i1-1-1-1-111111-1i−iii−i−i-1-111−i−iii−ii1-111-11-1-111-11-1-1-11-111-1-1ii−i−i1-1-1-1-111111-1i−iii−i−i-1-111−i−iii−ii
χ111-111-11-1-111-11-1-1-11-111-1-1−i−iii11111-1-1-1-11-1−ii−i−iii11-1-1−i−iii−ii1-111-11-1-111-11-1-1-11-111-1-1−i−iii11111-1-1-1-11-1−ii−i−iii11-1-1−i−iii−ii
χ121-111-11-1-111-11-1-1-11-111-1-1−i−iii1-1-1-1-111111-1−ii−i−iii-1-111ii−i−ii−i1-111-11-1-111-11-1-1-11-111-1-1−i−iii1-1-1-1-111111-1−ii−i−iii-1-111ii−i−ii−i
χ131-111-11-1-111-11-1-1-11-1-1-111ii−i−i11111-1-1-1-1-11i−i−i−iii-1-111ii−i−i−ii1-111-11-1-111-11-1-1-11-1-1-111ii−i−i11111-1-1-1-1-11i−i−i−iii-1-111ii−i−i−ii
χ141-111-11-1-111-11-1-1-11-1-1-111ii−i−i1-1-1-1-11111-11i−i−i−iii11-1-1−i−iiii−i1-111-11-1-111-11-1-1-11-1-1-111ii−i−i1-1-1-1-11111-11i−i−i−iii11-1-1−i−iiii−i
χ151-111-11-1-111-11-1-1-11-1-1-111−i−iii11111-1-1-1-1-11−iiii−i−i-1-111−i−iiii−i1-111-11-1-111-11-1-1-11-1-1-111−i−iii11111-1-1-1-1-11−iiii−i−i-1-111−i−iiii−i
χ161-111-11-1-111-11-1-1-11-1-1-111−i−iii1-1-1-1-11111-11−iiii−i−i11-1-1ii−i−i−ii1-111-11-1-111-11-1-1-11-1-1-111−i−iii1-1-1-1-11111-11−iiii−i−i11-1-1ii−i−i−ii
χ1722222222222-2-2-22-2-222220000-200000000-2-2000000000000000022222222222-2-2-22-2-222220000-200000000-2-20000000000000000
χ1822222222222-2-2-22-2-2-2-2-2-20000-20000000022000000000000000022222222222-2-2-22-2-2-2-2-2-20000-200000000220000000000000000
χ1922222222-2-2-2222-22-200002222-20000000000-2-20000000000000022222222-2-2-2222-22-200002222-20000000000-2-200000000000000
χ2022222222-2-2-2222-22-20000-2-2-2-2-20000000000220000000000000022222222-2-2-2222-22-20000-2-2-2-2-200000000002200000000000000
χ2122222222-2-2-2-2-2-2-2-220000000020000000000002-22-2000000000022222222-2-2-2-2-2-2-2-220000000020000000000002-22-20000000000
χ2222222222-2-2-2-2-2-2-2-22000000002000000000000-22-22000000000022222222-2-2-2-2-2-2-2-22000000002000000000000-22-220000000000
χ23222-2-2-22-22-2-20002002i−2i2i−2i00000i2i2−i2−i2i2i2−i2−i2000000002−22−2000000222-2-2-22-22-2-20002002i−2i2i−2i00000i2i2−i2−i2i2i2−i2−i2000000002−22−2000000
χ24222-2-2-22-22-2-20002002i−2i2i−2i00000−i2−i2i2i2−i2−i2i2i200000000−22−22000000222-2-2-22-22-2-20002002i−2i2i−2i00000−i2−i2i2i2−i2−i2i2i200000000−22−22000000
χ25222-2-2-22-22-2-2000200−2i2i−2i2i00000i2i2−i2−i2i2i2−i2−i200000000−22−22000000222-2-2-22-22-2-2000200−2i2i−2i2i00000i2i2−i2−i2i2i2−i2−i200000000−22−22000000
χ26222-2-2-22-22-2-2000200−2i2i−2i2i00000−i2−i2i2i2−i2−i2i2i2000000002−22−2000000222-2-2-22-22-2-2000200−2i2i−2i2i00000−i2−i2i2i2−i2−i2i2i2000000002−22−2000000
χ2722-2-222-2-2000-22-202000002i−2i2i−2i02−22−22−22−2000000000000i2−i2i2−i20022-2-222-2-2000-22-202000002i−2i2i−2i02−22−22−22−2000000000000i2−i2i2−i200
χ2822-2-222-2-2000-22-202000002i−2i2i−2i0−22−22−22−22000000000000−i2i2−i2i20022-2-222-2-2000-22-202000002i−2i2i−2i0−22−22−22−22000000000000−i2i2−i2i200
χ2922-2-222-2-2000-22-20200000−2i2i−2i2i02−22−22−22−2000000000000−i2i2−i2i20022-2-222-2-2000-22-20200000−2i2i−2i2i02−22−22−22−2000000000000−i2i2−i2i200
χ3022-2-222-2-2000-22-20200000−2i2i−2i2i0−22−22−22−22000000000000i2−i2i2−i20022-2-222-2-2000-22-20200000−2i2i−2i2i0−22−22−22−22000000000000i2−i2i2−i200
χ312-222-22-2-222-2-222-2-2222-2-20000-200000000-2200000000000000002-222-22-2-222-2-222-2-2222-2-20000-200000000-220000000000000000
χ322-222-22-2-222-2-222-2-22-2-2220000-2000000002-200000000000000002-222-22-2-222-2-222-2-22-2-2220000-2000000002-20000000000000000
χ332-222-22-2-2-2-222-2-222200002i2i−2i−2i-20000000000−2i2i000000000000002-222-22-2-2-2-222-2-222200002i2i−2i−2i-20000000000−2i2i00000000000000
χ342-222-22-2-2-2-222-2-22220000−2i−2i2i2i-200000000002i−2i000000000000002-222-22-2-2-2-222-2-22220000−2i−2i2i2i-200000000002i−2i00000000000000
χ352-222-22-2-2-2-22-2222-2-20000000020000000000002i−2i−2i2i00000000002-222-22-2-2-2-22-2222-2-20000000020000000000002i−2i−2i2i0000000000
χ362-222-22-2-2-2-22-2222-2-2000000002000000000000−2i2i2i−2i00000000002-222-22-2-2-2-22-2222-2-2000000002000000000000−2i2i2i−2i0000000000
χ372-22-22-2-222-22000-2002i−2i−2i2i00000i2i2−i2−i2−i2−i2i2i2000000002−2−220000002-22-22-2-222-22000-2002i−2i−2i2i00000i2i2−i2−i2−i2−i2i2i2000000002−2−22000000
χ382-22-22-2-222-22000-2002i−2i−2i2i00000−i2−i2i2i2i2i2−i2−i200000000−222−20000002-22-22-2-222-22000-2002i−2i−2i2i00000−i2−i2i2i2i2i2−i2−i200000000−222−2000000
χ392-22-22-2-222-22000-200−2i2i2i−2i00000i2i2−i2−i2−i2−i2i2i200000000−222−20000002-22-22-2-222-22000-200−2i2i2i−2i00000i2i2−i2−i2−i2−i2i2i200000000−222−2000000
χ402-22-22-2-222-22000-200−2i2i2i−2i00000−i2−i2i2i2i2i2−i2−i2000000002−2−220000002-22-22-2-222-22000-200−2i2i2i−2i00000−i2−i2i2i2i2i2−i2−i2000000002−2−22000000
χ412-2-2-2-2222000-2-2202000002-2-2202−22−2−22−220000000000002−2−22002-2-2-2-2222000-2-2202000002-2-2202−22−2−22−220000000000002−2−2200
χ422-2-2-2-2222000-2-2202000002-2-220−22−222−22−2000000000000−222−2002-2-2-2-2222000-2-2202000002-2-220−22−222−22−2000000000000−222−200
χ432-2-2-2-2222000-2-220200000-222-202−22−2−22−22000000000000−222−2002-2-2-2-2222000-2-220200000-222-202−22−2−22−22000000000000−222−200
χ442-2-2-2-2222000-2-220200000-222-20−22−222−22−20000000000002−2−22002-2-2-2-2222000-2-220200000-222-20−22−222−22−20000000000002−2−2200
χ45444-4-4-44-4-444000-40000000000000000000000000000000000000444-4-4-44-4-444000-40000000000000000000000000000000000000
χ4644-44-4-4-440000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000000044-44-4-4-440000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000
χ4744-44-4-4-44000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000044-44-4-4-44000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000
χ4844-4-444-4-40004-440-400000000000000000000000000000000000044-4-444-4-40004-440-4000000000000000000000000000000000000
χ494-44-44-4-44-44-4000400000000000000000000000000000000000004-44-44-4-44-44-400040000000000000000000000000000000000000
χ504-4-444-44-40000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000004-4-444-44-40000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ514-4-444-44-4000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000004-4-444-44-4000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000
χ524-4-4-4-444400044-40-40000000000000000000000000000000000004-4-4-4-444400044-40-4000000000000000000000000000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5411111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111
χ55111111111111111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111
χ56111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111111-1-11111111111-1-1-1-1-1-1
χ5711111111111111111-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111
χ5811111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1
χ5911111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ6011111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ611-111-11-1-111-11-1-1-11-111-1-1ii−i−i11111-1-1-1-11-1i−iii−i−i11-1-1ii−i−ii−i-11-1-11-111-1-11-1111-11-1-111−i−iii-1-1-1-1-11111-11−ii−i−iii-1-111−i−iii−ii
χ621-111-11-1-111-11-1-1-11-111-1-1ii−i−i1-1-1-1-111111-1i−iii−i−i-1-111−i−iii−ii-11-1-11-111-1-11-1111-11-1-111−i−iii-11111-1-1-1-1-11−ii−i−iii11-1-1ii−i−ii−i
χ631-111-11-1-111-11-1-1-11-111-1-1−i−iii11111-1-1-1-11-1−ii−i−iii11-1-1−i−iii−ii-11-1-11-111-1-11-1111-11-1-111ii−i−i-1-1-1-1-11111-11i−iii−i−i-1-111ii−i−ii−i
χ641-111-11-1-111-11-1-1-11-111-1-1−i−iii1-1-1-1-111111-1−ii−i−iii-1-111ii−i−ii−i-11-1-11-111-1-11-1111-11-1-111ii−i−i-11111-1-1-1-1-11i−iii−i−i11-1-1−i−iii−ii
χ651-111-11-1-111-11-1-1-11-1-1-111ii−i−i11111-1-1-1-1-11i−i−i−iii-1-111ii−i−i−ii-11-1-11-111-1-11-1111-1111-1-1−i−iii-1-1-1-1-111111-1−iiii−i−i11-1-1−i−iiii−i
χ661-111-11-1-111-11-1-1-11-1-1-111ii−i−i1-1-1-1-11111-11i−i−i−iii11-1-1−i−iiii−i-11-1-11-111-1-11-1111-1111-1-1−i−iii-11111-1-1-1-11-1−iiii−i−i-1-111ii−i−i−ii
χ671-111-11-1-111-11-1-1-11-1-1-111−i−iii11111-1-1-1-1-11−iiii−i−i-1-111−i−iiii−i-11-1-11-111-1-11-1111-1111-1-1ii−i−i-1-1-1-1-111111-1i−i−i−iii11-1-1ii−i−i−ii
χ681-111-11-1-111-11-1-1-11-1-1-111−i−iii1-1-1-1-11111-11−iiii−i−i11-1-1ii−i−i−ii-11-1-11-111-1-11-1111-1111-1-1ii−i−i-11111-1-1-1-11-1i−i−i−iii-1-111−i−iiii−i
χ6922222222222-2-2-22-2-222220000-200000000-2-20000000000000000-2-2-2-2-2-2-2-2-2-2-2222-222-2-2-2-20000200000000220000000000000000
χ7022222222222-2-2-22-2-2-2-2-2-20000-200000000220000000000000000-2-2-2-2-2-2-2-2-2-2-2222-22222220000200000000-2-20000000000000000
χ7122222222-2-2-2222-22-200002222-20000000000-2-200000000000000-2-2-2-2-2-2-2-2222-2-2-22-220000-2-2-2-2200000000002200000000000000
χ7222222222-2-2-2222-22-20000-2-2-2-2-200000000002200000000000000-2-2-2-2-2-2-2-2222-2-2-22-220000222220000000000-2-200000000000000
χ7322222222-2-2-2-2-2-2-2-220000000020000000000002-22-20000000000-2-2-2-2-2-2-2-222222222-200000000-2000000000000-22-220000000000
χ7422222222-2-2-2-2-2-2-2-22000000002000000000000-22-220000000000-2-2-2-2-2-2-2-222222222-200000000-20000000000002-22-20000000000
χ75222-2-2-22-22-2-20002002i−2i2i−2i00000i2i2−i2−i2i2i2−i2−i2000000002−22−2000000-2-2-2222-22-222000-200−2i2i−2i2i00000−i2−i2i2i2−i2−i2i2i200000000−22−22000000
χ76222-2-2-22-22-2-20002002i−2i2i−2i00000−i2−i2i2i2−i2−i2i2i200000000−22−22000000-2-2-2222-22-222000-200−2i2i−2i2i00000i2i2−i2−i2i2i2−i2−i2000000002−22−2000000
χ77222-2-2-22-22-2-2000200−2i2i−2i2i00000i2i2−i2−i2i2i2−i2−i200000000−22−22000000-2-2-2222-22-222000-2002i−2i2i−2i00000−i2−i2i2i2−i2−i2i2i2000000002−22−2000000
χ78222-2-2-22-22-2-2000200−2i2i−2i2i00000−i2−i2i2i2−i2−i2i2i2000000002−22−2000000-2-2-2222-22-222000-2002i−2i2i−2i00000i2i2−i2−i2i2i2−i2−i200000000−22−22000000
χ7922-2-222-2-2000-22-202000002i−2i2i−2i02−22−22−22−2000000000000i2−i2i2−i200-2-222-2-2220002-220-200000−2i2i−2i2i0−22−22−22−22000000000000−i2i2−i2i200
χ8022-2-222-2-2000-22-202000002i−2i2i−2i0−22−22−22−22000000000000−i2i2−i2i200-2-222-2-2220002-220-200000−2i2i−2i2i02−22−22−22−2000000000000i2−i2i2−i200
χ8122-2-222-2-2000-22-20200000−2i2i−2i2i02−22−22−22−2000000000000−i2i2−i2i200-2-222-2-2220002-220-2000002i−2i2i−2i0−22−22−22−22000000000000i2−i2i2−i200
χ8222-2-222-2-2000-22-20200000−2i2i−2i2i0−22−22−22−22000000000000i2−i2i2−i200-2-222-2-2220002-220-2000002i−2i2i−2i02−22−22−22−2000000000000−i2i2−i2i200
χ832-222-22-2-222-2-222-2-2222-2-20000-200000000-220000000000000000-22-2-22-222-2-222-2-222-2-2-22200002000000002-20000000000000000
χ842-222-22-2-222-2-222-2-22-2-2220000-2000000002-20000000000000000-22-2-22-222-2-222-2-222-222-2-20000200000000-220000000000000000
χ852-222-22-2-2-2-222-2-222200002i2i−2i−2i-20000000000−2i2i00000000000000-22-2-22-22222-2-222-2-2-20000−2i−2i2i2i200000000002i−2i00000000000000
χ862-222-22-2-2-2-222-2-22220000−2i−2i2i2i-200000000002i−2i00000000000000-22-2-22-22222-2-222-2-2-200002i2i−2i−2i20000000000−2i2i00000000000000
χ872-222-22-2-2-2-22-2222-2-20000000020000000000002i−2i−2i2i0000000000-22-2-22-22222-22-2-2-22200000000-2000000000000−2i2i2i−2i0000000000
χ882-222-22-2-2-2-22-2222-2-2000000002000000000000−2i2i2i−2i0000000000-22-2-22-22222-22-2-2-22200000000-20000000000002i−2i−2i2i0000000000
χ892-22-22-2-222-22000-2002i−2i−2i2i00000i2i2−i2−i2−i2−i2i2i2000000002−2−22000000-22-22-222-2-22-2000200−2i2i2i−2i00000−i2−i2i2i2i2i2−i2−i200000000−222−2000000
χ902-22-22-2-222-22000-2002i−2i−2i2i00000−i2−i2i2i2i2i2−i2−i200000000−222−2000000-22-22-222-2-22-2000200−2i2i2i−2i00000i2i2−i2−i2−i2−i2i2i2000000002−2−22000000
χ912-22-22-2-222-22000-200−2i2i2i−2i00000i2i2−i2−i2−i2−i2i2i200000000−222−2000000-22-22-222-2-22-20002002i−2i−2i2i00000−i2−i2i2i2i2i2−i2−i2000000002−2−22000000
χ922-22-22-2-222-22000-200−2i2i2i−2i00000−i2−i2i2i2i2i2−i2−i2000000002−2−22000000-22-22-222-2-22-20002002i−2i−2i2i00000i2i2−i2−i2−i2−i2i2i200000000−222−2000000
χ932-2-2-2-2222000-2-2202000002-2-2202−22−2−22−220000000000002−2−2200-22222-2-2-200022-20-200000-222-20−22−222−22−2000000000000−222−200
χ942-2-2-2-2222000-2-2202000002-2-220−22−222−22−2000000000000−222−200-22222-2-2-200022-20-200000-222-202−22−2−22−220000000000002−2−2200
χ952-2-2-2-2222000-2-220200000-222-202−22−2−22−22000000000000−222−200-22222-2-2-200022-20-2000002-2-220−22−222−22−20000000000002−2−2200
χ962-2-2-2-2222000-2-220200000-222-20−22−222−22−20000000000002−2−2200-22222-2-2-200022-20-2000002-2-2202−22−2−22−22000000000000−222−200
χ97444-4-4-44-4-444000-40000000000000000000000000000000000000-4-4-4444-444-4-400040000000000000000000000000000000000000
χ9844-44-4-4-440000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000-4-44-4444-4000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000
χ9944-44-4-4-44000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000-4-44-4444-40000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000
χ10044-4-444-4-40004-440-4000000000000000000000000000000000000-4-444-4-444000-44-404000000000000000000000000000000000000
χ1014-44-44-4-44-44-400040000000000000000000000000000000000000-44-44-444-44-44000-40000000000000000000000000000000000000
χ1024-4-444-44-40000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000-444-4-44-44000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000
χ1034-4-444-44-4000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000-444-4-44-440000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ1044-4-4-4-444400044-40-4000000000000000000000000000000000000-44444-4-4-4000-4-4404000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).