Finite Group Databasebeta

← Group #12305607

Character table — Group #12305607

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111444444888888888888222222228888881616161616161616161616162222222288888816161616161616161616161655555555202020202020404040404040404040404040
order1222222222444422244444444451010101010101010102020202010101020202020202020202051010101010101010102020202010101020202020202020202022222222224444222444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111-1-11-1-111-1-1-1-1111111111111111-1-11-1-111-1-1-1-1111111111111111-1-11-1-111-1-1-1-1111111111111111-1-11-1-111-1-1-1-1
χ311111111111111-11-1-11-1-1-111-1-111111111111111-11-1-11-1-1-111-1-111111111111111-11-1-11-1-1-111-1-111111111111111-11-1-11-1-1-111-1-1
χ411111111111111-1-11-1-11-1-1-1-11111111111111111-1-11-1-11-1-1-1-11111111111111111-1-11-1-11-1-1-1-11111111111111111-1-11-1-11-1-1-1-111
χ51111111111-1-1-1-111-111-1-1-1-1-1111111111111-1-1-1-111-111-1-1-1-1-1111111111111-1-1-1-111-111-1-1-1-1-1111111111111-1-1-1-111-111-1-1-1-1-111
χ61111111111-1-1-1-11-111-11-1-111-1-11111111111-1-1-1-11-111-11-1-111-1-11111111111-1-1-1-11-111-11-1-111-1-11111111111-1-1-1-11-111-11-1-111-1-1
χ71111111111-1-1-1-1-111-11111-1-1-1-11111111111-1-1-1-1-111-11111-1-1-1-11111111111-1-1-1-1-111-11111-1-1-1-11111111111-1-1-1-1-111-11111-1-1-1-1
χ81111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111
χ911111111-1-111-1-1111-1-1-11-11-11-111111111-1-111-1-1111-1-1-11-11-11-111111111-1-111-1-1111-1-1-11-11-11-111111111-1-111-1-1111-1-1-11-11-11-1
χ1011111111-1-111-1-11-1-1-1111-1-11-1111111111-1-111-1-11-1-1-1111-1-11-1111111111-1-111-1-11-1-1-1111-1-11-1111111111-1-111-1-11-1-1-1111-1-11-11
χ1111111111-1-111-1-1-11-11-11-111-1-1111111111-1-111-1-1-11-11-11-111-1-1111111111-1-111-1-1-11-11-11-111-1-1111111111-1-111-1-1-11-11-11-111-1-11
χ1211111111-1-111-1-1-1-1111-1-11-111-111111111-1-111-1-1-1-1111-1-11-111-111111111-1-111-1-1-1-1111-1-11-111-111111111-1-111-1-1-1-1111-1-11-111-1
χ1311111111-1-1-1-11111-1-1-11-11-111-111111111-1-1-1-11111-1-1-11-11-111-111111111-1-1-1-11111-1-1-11-11-111-111111111-1-1-1-11111-1-1-11-11-111-1
χ1411111111-1-1-1-1111-11-11-1-111-1-1111111111-1-1-1-1111-11-11-1-111-1-1111111111-1-1-1-1111-11-11-1-111-1-1111111111-1-1-1-1111-11-11-1-111-1-11
χ1511111111-1-1-1-111-1111-1-11-1-11-1111111111-1-1-1-111-1111-1-11-1-11-1111111111-1-1-1-111-1111-1-11-1-11-1111111111-1-1-1-111-1111-1-11-1-11-11
χ1611111111-1-1-1-111-1-1-11111-11-11-111111111-1-1-1-111-1-1-11111-11-11-111111111-1-1-1-111-1-1-11111-11-11-111111111-1-1-1-111-1-1-11111-11-11-1
χ172222-2-2-2-22-22i−2i2i−2i0000000000002222-2-2-2-22-22i−2i2i−2i0000000000002222-2-2-2-22-22i−2i2i−2i0000000000002222-2-2-2-22-22i−2i2i−2i000000000000
χ182222-2-2-2-22-2−2i2i−2i2i0000000000002222-2-2-2-22-2−2i2i−2i2i0000000000002222-2-2-2-22-2−2i2i−2i2i0000000000002222-2-2-2-22-2−2i2i−2i2i000000000000
χ192222-2-2-2-2-222i−2i−2i2i0000000000002222-2-2-2-2-222i−2i−2i2i0000000000002222-2-2-2-2-222i−2i−2i2i0000000000002222-2-2-2-2-222i−2i−2i2i000000000000
χ202222-2-2-2-2-22−2i2i2i−2i0000000000002222-2-2-2-2-22−2i2i2i−2i0000000000002222-2-2-2-2-22−2i2i2i−2i0000000000002222-2-2-2-2-22−2i2i2i−2i000000000000
χ2144-4-444-4-400000000000000000044-4-444-4-400000000000000000044-4-444-4-400000000000000000044-4-444-4-4000000000000000000
χ2244-4-4-4-44400000000000000000044-4-4-4-44400000000000000000044-4-4-4-44400000000000000000044-4-4-4-444000000000000000000
χ234-44-44-44-40000000000000000004-44-44-44-40000000000000000004-44-44-44-40000000000000000004-44-44-44-4000000000000000000
χ244-44-4-44-440000000000000000004-44-4-44-440000000000000000004-44-4-44-440000000000000000004-44-4-44-44000000000000000000
χ254-4-444-4-440000000000000000004-4-444-4-440000000000000000004-4-444-4-440000000000000000004-4-444-4-44000000000000000000
χ264-4-44-444-40000000000000000004-4-44-444-40000000000000000004-4-44-444-40000000000000000004-4-44-444-4000000000000000000
χ27111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ28111111111111111-1-11-1-111-1-1-1-1111111111111111-1-11-1-111-1-1-1-1111111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111
χ2911111111111111-11-1-11-1-1-111-1-111111111111111-11-1-11-1-1-111-1-111111111111111-11-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1111-1-111
χ3011111111111111-1-11-1-11-1-1-1-11111111111111111-1-11-1-11-1-1-1-11111111111111111-1-11-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11111-1-1
χ311111111111-1-1-1-111-111-1-1-1-1-1111111111111-1-1-1-111-111-1-1-1-1-1111111111111-1-1-1-111-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11-1-111111-1-1
χ321111111111-1-1-1-11-111-11-1-111-1-11111111111-1-1-1-11-111-11-1-111-1-11111111111-1-1-1-11-111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-11-111-1-111
χ331111111111-1-1-1-1-111-11111-1-1-1-11111111111-1-1-1-1-111-11111-1-1-1-11111111111-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-1-1-11111
χ341111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ3511111111-1-111-1-1111-1-1-11-11-11-111111111-1-111-1-1111-1-1-11-11-11-111111111-1-111-1-1111-1-1-11-11-11-1-1-1-1-1-1-1-1-111-1-111-1-1-1111-11-11-11
χ3611111111-1-111-1-11-1-1-1111-1-11-1111111111-1-111-1-11-1-1-1111-1-11-1111111111-1-111-1-11-1-1-1111-1-11-11-1-1-1-1-1-1-1-111-1-111-1111-1-1-111-11-1
χ3711111111-1-111-1-1-11-11-11-111-1-1111111111-1-111-1-1-11-11-11-111-1-1111111111-1-111-1-1-11-11-11-111-1-11-1-1-1-1-1-1-1-111-1-1111-11-11-11-1-111-1
χ3811111111-1-111-1-1-1-1111-1-11-111-111111111-1-111-1-1-1-1111-1-11-111-111111111-1-111-1-1-1-1111-1-11-111-1-1-1-1-1-1-1-1-111-1-11111-1-1-111-11-1-11
χ3911111111-1-1-1-11111-1-1-11-11-111-111111111-1-1-1-11111-1-1-11-11-111-111111111-1-1-1-11111-1-1-11-11-111-1-1-1-1-1-1-1-1-11111-1-1-1-1111-11-11-1-11
χ4011111111-1-1-1-1111-11-11-1-111-1-1111111111-1-1-1-1111-11-11-1-111-1-1111111111-1-1-1-1111-11-11-1-111-1-11-1-1-1-1-1-1-1-11111-1-1-11-11-111-1-111-1
χ4111111111-1-1-1-111-1111-1-11-1-11-1111111111-1-1-1-111-1111-1-11-1-11-1111111111-1-1-1-111-1111-1-11-1-11-11-1-1-1-1-1-1-1-11111-1-11-1-1-111-111-11-1
χ4211111111-1-1-1-111-1-1-11111-11-11-111111111-1-1-1-111-1-1-11111-11-11-111111111-1-1-1-111-1-1-11111-11-11-1-1-1-1-1-1-1-1-11111-1-1111-1-1-1-11-11-11
χ432222-2-2-2-22-22i−2i2i−2i0000000000002222-2-2-2-22-22i−2i2i−2i0000000000002222-2-2-2-22-22i−2i2i−2i000000000000-2-2-2-22222-22−2i2i−2i2i000000000000
χ442222-2-2-2-22-2−2i2i−2i2i0000000000002222-2-2-2-22-2−2i2i−2i2i0000000000002222-2-2-2-22-2−2i2i−2i2i000000000000-2-2-2-22222-222i−2i2i−2i000000000000
χ452222-2-2-2-2-222i−2i−2i2i0000000000002222-2-2-2-2-222i−2i−2i2i0000000000002222-2-2-2-2-222i−2i−2i2i000000000000-2-2-2-222222-2−2i2i2i−2i000000000000
χ462222-2-2-2-2-22−2i2i2i−2i0000000000002222-2-2-2-2-22−2i2i2i−2i0000000000002222-2-2-2-2-22−2i2i2i−2i000000000000-2-2-2-222222-22i−2i−2i2i000000000000
χ4744-4-444-4-400000000000000000044-4-444-4-400000000000000000044-4-444-4-4000000000000000000-4-444-4-444000000000000000000
χ4844-4-4-4-44400000000000000000044-4-4-4-44400000000000000000044-4-4-4-444000000000000000000-4-44444-4-4000000000000000000
χ494-44-44-44-40000000000000000004-44-44-44-40000000000000000004-44-44-44-4000000000000000000-44-44-44-44000000000000000000
χ504-44-4-44-440000000000000000004-44-4-44-440000000000000000004-44-4-44-44000000000000000000-44-444-44-4000000000000000000
χ514-4-444-4-440000000000000000004-4-444-4-440000000000000000004-4-444-4-44000000000000000000-444-4-444-4000000000000000000
χ524-4-44-444-40000000000000000004-4-44-444-40000000000000000004-4-44-444-4000000000000000000-444-44-4-44000000000000000000
χ5322222222222222222222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200000000000000000000000000
χ54222222222222222-2-22-2-222-2-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−52−1−521+521+521+521+5200000000000000000000000000
χ5522222222222222-22-2-22-2-2-222-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−52−1+521−521−52−1+521−521−521−52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+52−1−521+521+52−1−521+521+521+52−1−52−1−521+521+5200000000000000000000000000
χ5622222222222222-2-22-2-22-2-2-2-222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+521−521−521−521−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−521+521+521+521+52−1−52−1−5200000000000000000000000000
χ572222222222-2-2-2-222-222-2-2-2-2-222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−52−1+52−1+521−521−521−521−521−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+52−1−52−1−521+521+521+521+521+52−1−52−1−5200000000000000000000000000
χ582222222222-2-2-2-22-222-22-2-222-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+521−52−1+52−1+521−52−1+521−521−52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−521+52−1−52−1−521+52−1−521+521+52−1−52−1−521+521+5200000000000000000000000000
χ592222222222-2-2-2-2-222-22222-2-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−52−1+52−1+521−52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+52−1−52−1−521+52−1−52−1−52−1−52−1−521+521+521+521+5200000000000000000000000000
χ602222222222-2-2-2-2-2-2-2-2-2-2222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−521−521−52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−5200000000000000000000000000
χ6122222222-2-222-2-2222-2-2-22-22-22-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+52−1+521−521−521−52−1+521−52−1+521−52−1+521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−52−1−521+521+521+52−1−521+52−1−521+52−1−521+5200000000000000000000000000
χ6222222222-2-222-2-22-2-2-2222-2-22-22−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−52−1+521−521−521−52−1+52−1+52−1+521−521−52−1+521−52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+52−1−521+521+521+52−1−52−1−52−1−521+521+52−1−521+52−1−5200000000000000000000000000
χ6322222222-2-222-2-2-22-22-22-222-2-22−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−52−1+521−52−1+521−52−1+521−52−1+52−1+521−521−52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+52−1−521+52−1−521+52−1−521+52−1−52−1−521+521+52−1−5200000000000000000000000000
χ6422222222-2-222-2-2-2-2222-2-22-222-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−521−52−1+52−1+52−1+521−521−52−1+521−52−1+52−1+521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+521+52−1−52−1−52−1−521+521+52−1−521+52−1−52−1−521+5200000000000000000000000000
χ6522222222-2-2-2-22222-2-2-22-22-222-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+521−521−521−52−1+521−52−1+521−52−1+52−1+521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+521+52−1−521+52−1−521+52−1−52−1−521+5200000000000000000000000000
χ6622222222-2-2-2-2222-22-22-2-222-2-22−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+521−52−1+521−52−1+521−521−52−1+52−1+521−521−52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−521+52−1−521+52−1−521+521+52−1−52−1−521+521+52−1−5200000000000000000000000000
χ6722222222-2-2-2-222-2222-2-22-2-22-22−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−52−1+52−1+52−1+521−521−52−1+521−521−52−1+521−52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+52−1−52−1−52−1−521+521+52−1−521+521+52−1−521+52−1−5200000000000000000000000000
χ6822222222-2-2-2-222-2-2-22222-22-22-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−521−52−1+52−1+52−1+52−1+521−52−1+521−52−1+521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+521+52−1−52−1−52−1−52−1−521+52−1−521+52−1−521+5200000000000000000000000000
χ694444-4-4-4-44-44i−4i4i−4i000000000000−1+5−1+5−1+5−1+51−51−51−51−5−1+51−5−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19000000000000−1−5−1−5−1−5−1−51+51+51+51+5−1−51+5−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ700000000000000000000000000000000000000
χ704444-4-4-4-44-4−4i4i−4i4i000000000000−1+5−1+5−1+5−1+51−51−51−51−5−1+51−52ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ19000000000000−1−5−1−5−1−5−1−51+51+51+51+5−1−51+52ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ700000000000000000000000000000000000000
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χ8222222222222222-2-22-2-22-2-2-2-222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−521+521+521+521+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+521−521−521−521−52−1+52−1+5200000000000000000000000000
χ832222222222-2-2-2-222-222-2-2-2-2-222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+52−1−52−1−521+521+521+521+521+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−52−1+52−1+521−521−521−521−521−52−1+52−1+5200000000000000000000000000
χ842222222222-2-2-2-22-222-22-2-222-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−521+52−1−52−1−521+52−1−521+521+52−1−52−1−521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+521−52−1+52−1+521−52−1+521−521−52−1+52−1+521−521−5200000000000000000000000000
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χ9022222222-2-222-2-2-2-2222-2-22-222-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+521+52−1−52−1−52−1−521+521+52−1−521+52−1−52−1−521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−521−52−1+52−1+52−1+521−521−52−1+521−52−1+52−1+521−5200000000000000000000000000
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χ984444-4-4-4-4-44−4i4i4i−4i000000000000−1−5−1−5−1−5−1−51+51+51+51+51+5−1−52ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ7000000000000−1+5−1+5−1+5−1+51−51−51−51−51−5−1+52ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ1900000000000000000000000000000000000000
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χ1028-88-8-88-88000000000000000000−2−252+25−2−252+252+25−2−252+25−2−25000000000000000000−2+252−25−2+252−252−25−2+252−25−2+2500000000000000000000000000000000000000000000
χ1038-8-888-8-88000000000000000000−2−252+252+25−2−25−2−252+252+25−2−25000000000000000000−2+252−252−25−2+25−2+252−252−25−2+2500000000000000000000000000000000000000000000
χ1048-8-88-888-8000000000000000000−2−252+252+25−2−252+25−2−25−2−252+25000000000000000000−2+252−252−25−2+252−25−2+25−2+252−2500000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.