Finite Group Databasebeta

← Group #11780206

Character table — Group #11780206

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222222244444444444444444444444444444444444444444444444444444444444444412122424242424242424242424242436364848484848727272
order1222334444666666121212123466688881212121212121212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424244444488121212122424242422412121212488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111
χ51111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-111-111-1-11-1-1
χ61111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-11-1-111-111
χ71111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-111-1-1-111
χ81111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1111-1-1
χ92222222-22-222222222222-2222000022-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000002200000-200
χ102222222-22-222222222222-2222000022-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000-2-200000200
χ11222222-22-22222222-2-2-2-22-22220000-2-22222-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000022-2000022-2-200000000000000
χ12222222-22-22222222-2-2-2-22-22220000-2-22222-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000-2-220000-2-22200000000000000
χ13222222-2-2-2-2222222-2-2-2-2222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000002-200000000000002-200000
χ14222222-2-2-2-2222222-2-2-2-2222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000-220000000000000-2200000
χ1522222-1222222-1-1-12-1-1-1-1-12-1-1-1222222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12220022-1-1-1-1-1-1-1-10000000000
χ1622222-1222222-1-1-12-1-1-1-1-12-1-1-1222222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-200-2-2111111110000000000
χ1722222-1222222-1-1-12-1-1-1-1-12-1-1-1-2-2-2-222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111111111122200-2-2-1-1-1-111110000000000
χ1822222-1222222-1-1-12-1-1-1-1-12-1-1-1-2-2-2-222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111-2-2-200221111-1-1-1-10000000000
χ1922222-1-22-2222-1-1-121111-1-2-1-1-10000-2-2-1-1221111-1-1-1-1-2-211111100000000333333333333−3−3−3−3−3−3−3−3−3−3−3−322-20000-1-11133−3−30000000000
χ2022222-1-22-2222-1-1-121111-1-2-1-1-10000-2-2-1-1221111-1-1-1-1-2-211111100000000333333333333−3−3−3−3−3−3−3−3−3−3−3−3-2-22000011-1-1−3−3330000000000
χ2122222-1-22-2222-1-1-121111-1-2-1-1-10000-2-2-1-1221111-1-1-1-1-2-211111100000000−3−3−3−3−3−3−3−3−3−3−3−333333333333322-20000-1-111−3−3330000000000
χ2222222-1-22-2222-1-1-121111-1-2-1-1-10000-2-2-1-1221111-1-1-1-1-2-211111100000000−3−3−3−3−3−3−3−3−3−3−3−3333333333333-2-22000011-1-133−3−30000000000
χ232222-122222-1-1222-12222-12-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000220000000000002-1-1-1-1000
χ242222-122222-1-1222-12222-12-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000-2-2000000000000-21111000
χ252222-122222-1-1222-12222-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-111111111-2-2-2-211111111-2-2-2-21111111100022000000000000-2-1-111000
χ262222-122222-1-1222-12222-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-111111111-2-2-2-211111111-2-2-2-211111111000-2-2000000000000211-1-1000
χ272222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-1000011-2-21111111111-1-122-1-1-1-1−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i30002-20000000000000-11−i3i3000
χ282222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-1000011-2-21111111111-1-122-1-1-1-1−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i3000-2200000000000001-1i3−i3000
χ292222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-1000011-2-21111111111-1-122-1-1-1-1i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i30002-20000000000000-11i3−i3000
χ302222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-1000011-2-21111111111-1-122-1-1-1-1i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i3000-2200000000000001-1−i3i3000
χ3122-2-22220-202-22-2-2-222-2-2202-2-222−2−22-2000022-2-200000000000022−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−20000000000000002-20000002−2
χ3222-2-22220-202-22-2-2-222-2-2202-2-222−2−22-2000022-2-200000000000022−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−2000000000000000-22000000−22
χ3322-2-22220-202-22-2-2-222-2-2202-2-2−2−2222-2000022-2-2000000000000−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−2220000000000000002-2000000−22
χ3422-2-22220-202-22-2-2-222-2-2202-2-2−2−2222-2000022-2-2000000000000−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−222000000000000000-220000002−2
χ352-2-22220-202-2-2-22-22000020-22-22−22−2002-22-2000022-2-2000000002−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22-20002−22-2002−22−20000000000
χ362-2-22220-202-2-2-22-22000020-22-22−22−2002-22-2000022-2-2000000002−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22−2-22000−22-2200−22−220000000000
χ372-2-22220-202-2-2-22-22000020-22-2−22−22002-22-2000022-2-200000000−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22−222-2000−222-200−22−220000000000
χ382-2-22220-202-2-2-22-22000020-22-2−22−22002-22-2000022-2-200000000−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22-220002−2-22002−22−20000000000
χ392-2-222-10-202-2-21-1123−33−3-101-112−22−200-112-23−33−3-1-111003−333−3−32−22−22−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ232-20002−2-113−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000
χ402-2-222-10-202-2-21-1123−33−3-101-112−22−200-112-23−33−3-1-111003−333−3−32−22−22−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23-22000−221-1−33−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000
χ412-2-222-10-202-2-21-1123−33−3-101-11−22−2200-112-23−33−3-1-111003−333−3−3−22−22−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ232-2000−22-113−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000
χ422-2-222-10-202-2-21-1123−33−3-101-11−22−2200-112-23−33−3-1-111003−333−3−3−22−22−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23-220002−21-1−33ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000
χ432-2-222-10-202-2-21-112−33−33-101-112−22−200-112-2−33−33-1-11100−33−3−3332−22−22−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ72-20002−2-11−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000
χ442-2-222-10-202-2-21-112−33−33-101-112−22−200-112-2−33−33-1-11100−33−3−3332−22−22−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7-22000−221-13−3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000
χ452-2-222-10-202-2-21-112−33−33-101-11−22−2200-112-2−33−33-1-11100−33−3−333−22−22−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ72-2000−22-11−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000
χ462-2-222-10-202-2-21-112−33−33-101-11−22−2200-112-2−33−33-1-11100−33−3−333−22−22−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7-220002−21-13−3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000
χ4744444-24-44-444-2-2-24-2-2-2-2-2-4-2-2-200004422-4-4-2-2-2-22222-4-4222222000000000000000000000000000000000000000000000000000000000
χ4844444-2-4-4-4-444-2-2-242222-24-2-2-20000-4-422-4-42222222244-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000
χ494444-244-44-4-2-2444-24444-2-4-2-2-20000-2-2-4-422-2-2-2-2222222-4-42222000000000000000000000000000000000000000000000000000000000
χ504444-24-44-44-2-2444-2-4-4-4-4-2-4-2-2-200002244-2-22222-2-2-2-222-4-42222000000000000000000000000000000000000000000000000000000000
χ514444-2-24444-2-2-2-2-2-2-2-2-2-2141114444-2-2-2-2-2-211111111-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2111111110000000000000000000000000
χ524444-2-24444-2-2-2-2-2-2-2-2-2-214111-4-4-4-4-2-2-2-2-2-211111111-2-2-2-21111222222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000000000000
χ534444-2-24-44-4-2-2-2-2-2-2-2-2-2-21-41110000-2-222221111-1-1-1-12222-1-1-1-10000000000003i3i3i3i−3i−3i−3i−3i0000−3i−3i−3i−3i3i3i3i3i0000000000000000000000000
χ544444-2-24-44-4-2-2-2-2-2-2-2-2-2-21-41110000-2-222221111-1-1-1-12222-1-1-1-1000000000000−3i−3i−3i−3i3i3i3i3i00003i3i3i3i−3i−3i−3i−3i0000000000000000000000000
χ554444-2-2-44-44-2-2-2-2-2-222221-4111000022-2-2-2-2-1-1-1-111112222-1-1-1-10000000023232323−3−3−3−3−3−3−3−3−23−23−23−23333333330000000000000000000000000
χ564444-2-2-44-44-2-2-2-2-2-222221-4111000022-2-2-2-2-1-1-1-111112222-1-1-1-100000000−23−23−23−233333333323232323−3−3−3−3−3−3−3−30000000000000000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-22222141110000222222-1-1-1-1-1-1-1-1-2-2-2-21111−2i3−2i3−2i3−2i32i32i32i32i30000i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i30000000000000000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-22222141110000222222-1-1-1-1-1-1-1-1-2-2-2-211112i32i32i32i3−2i3−2i3−2i3−2i30000−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i30000000000000000000000000
χ5944-4-444-40404-44-4-4-4-4-444404-4-40000-440000-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ6044-4-44-240-404-4-222-4-2-222-20-2222222−22−224-40000-2-2220000000000002222−22−222222−22−22−2−222−2−222−2−222−2−222−2−222−2−2220000000000000000000000000
χ6144-4-44-240-404-4-222-4-2-222-20-222−22−2222224-40000-2-222000000000000−22−222222−22−22222222−2−222−2−222−2−222−2−222−2−222−2−20000000000000000000000000
χ6244-4-44-2-40404-4-222-422-2-2-20-2220000-44000022-2-20000000000000000000066−6−666−6−666−6−6−6−666−6−666−6−6660000000000000000000000000
χ6344-4-44-2-40404-4-222-422-2-2-20-2220000-44000022-2-200000000000000000000−6−666−6−666−6−66666−6−666−6−666−6−60000000000000000000000000
χ6444-4-4-2440-40-224-4-4244-4-4-20-2222222−22−22-220000-2-222000000000000−2−222−2−2222222−22−22−2−222−2−2222222−22−22−2−222−2−2220000000000000000000000000
χ6544-4-4-2440-40-224-4-4244-4-4-20-222−22−222222-220000-2-22200000000000022−2−222−2−2−22−22222222−2−222−2−2−22−22222222−2−222−2−20000000000000000000000000
χ6644-4-4-24-4040-224-4-42-4-444-20-22200002-2000022-2-2000000000000i6i6−i6−i6−i6−i6i6i60000i6i6−i6−i6−i6−i6i6i60000i6i6−i6−i6−i6−i6i6i60000000000000000000000000
χ6744-4-4-24-4040-224-4-42-4-444-20-22200002-2000022-2-2000000000000−i6−i6i6i6i6i6−i6−i60000−i6−i6i6i6i6i6−i6−i60000−i6−i6i6i6i6i6−i6−i60000000000000000000000000
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χ914-44-4-2-200002-222-22−232323−2310-1-112-2-220000003−3−33−3i3i3i−3i−2i32i300i3−i3−i3i3−1+i31−i31−i3−1+i3−1−i31+i31+i3−1−i3−1−31+31+3−1−3−2ζ14+ζ20−ζ222ζ14−ζ20+ζ222ζ14−ζ20+ζ22−2ζ14+ζ20−ζ22ζ4+ζ14+2ζ22−ζ4−ζ14−2ζ22−ζ4−ζ14−2ζ22ζ4+ζ14+2ζ22−1+31−31−3−1+32ζ14+ζ20+ζ22−2ζ14−ζ20−ζ22−2ζ14−ζ20−ζ222ζ14+ζ20+ζ22ζ4−ζ14−2ζ22−ζ4+ζ14+2ζ22−ζ4+ζ14+2ζ22ζ4−ζ14−2ζ220000000000000000000000000
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χ1064-4-44-2-20-404222-22-223−2323−2310-11-1−2222−222200-22-22−33−3311-1-10023−23−3−3332−22−22−22−2−2ζ5+2ζ72ζ5−2ζ7−2ζ5+2ζ72ζ5−2ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−2ζ13+2ζ232ζ13−2ζ23−2ζ13+2ζ232ζ13−2ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ230000000000000000000000000
χ1074-4-44-2-20-404222-22-2−2323−232310-11-122−2222−2200-22-223−33−311-1-100−232333−3−3−22−22−22−222ζ13−2ζ23−2ζ13+2ζ232ζ13−2ζ23−2ζ13+2ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ232ζ5−2ζ7−2ζ5+2ζ72ζ5−2ζ7−2ζ5+2ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ70000000000000000000000000
χ1084-4-44-2-20-404222-22-2−2323−232310-11-1−2222−222200-22-223−33−311-1-100−232333−3−32−22−22−22−2−2ζ13+2ζ232ζ13−2ζ23−2ζ13+2ζ232ζ13−2ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23−2ζ5+2ζ72ζ5−2ζ7−2ζ5+2ζ72ζ5−2ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ70000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.