Finite Group Databasebeta

← Group #13136925

Character table — Group #13136925

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1111111111112222224444449999999999991212121212121212181818181818181818181818181818181818181818181818181818181818242424242424242424242424363636363636363636363636363636363636
order123344661212121224661212882424242422446666121212123366121212122466888888881212242424242424242424242424242424246612122424242424242424888888242424242424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i111111111111-1-1ii−i−i-1-1-1-1iiii−i−i−i−i
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiii-1-1−i−i−i−i−i−i−i−iiiiiiiii111111111111-1-1−i−iii-1-1-1-1−i−i−i−iiiii
χ5111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-1-1-111−i−iii1111−i−i−i−iiiii
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiii-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1-1-111ii−i−i1111iiii−i−i−i−i
χ91111-1-111-1-1-1-1-11-1-111i−iii−i−i11-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-111iiii−i−i−i−ii−ii−ii−iii−i−iii−i−iii−i−i
χ101111-1-111-1-1-1-1-11-1-111i−iii−i−i11-1-11111-1-1-1-11111-1-1-1-1-11-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-111iiii−i−i−i−ii−i−ii−iiii−i−i−i−iii−i−iii
χ111111-1-111-1-1-1-1-11-1-111i−iii−i−i-1-111-1-1-1-111111111-1-1-1-11-111ii−i−i−i−iii-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111iiii−i−i−i−i−ii-111-1−i−iii-1-11111-1-1
χ121111-1-111-1-1-1-1-11-1-111i−iii−i−i-1-111-1-1-1-111111111-1-1-1-11-111−i−iiiii−i−i-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111iiii−i−i−i−i−ii1-1-11−i−iii11-1-1-1-111
χ131111-1-111-1-1-1-1-11-1-111−ii−i−iii11-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-111−i−i−i−iiiii−ii−ii−ii−i−iii−i−iii−i−iii
χ141111-1-111-1-1-1-1-11-1-111−ii−i−iii11-1-11111-1-1-1-11111-1-1-1-1-11-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-111−i−i−i−iiiii−iii−ii−i−i−iiiii−i−iii−i−i
χ151111-1-111-1-1-1-1-11-1-111−ii−i−iii-1-111-1-1-1-111111111-1-1-1-11-111ii−i−i−i−iii-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111−i−i−i−iiiiii−i1-1-11ii−i−i11-1-1-1-111
χ161111-1-111-1-1-1-1-11-1-111−ii−i−iii-1-111-1-1-1-111111111-1-1-1-11-111−i−iiiii−i−i-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111−i−i−i−iiiiii−i-111-1ii−i−i-1-11111-1-1
χ17222222222222-2-2-2-2-2-200000022222222222222222222-2-2-2-200000000-2-20000000000000000-2-2-2-200000000000000000000000000
χ18222222222222-2-2-2-2-2-2000000-2-2-2-2-2-2-2-2-2-2-2-222222222222200000000220000000000000000-2-2-2-200000000000000000000000000
χ192222-2-222-2-2-2-22-222-2-200000022-2-22222-2-2-2-22222-2-2-2-22-22200000000-2-2000000000000000022-2-200000000000000000000000000
χ202222-2-222-2-2-2-22-222-2-2000000-2-222-2-2-2-222222222-2-2-2-2-22-2-20000000022000000000000000022-2-200000000000000000000000000
χ212-2222i−2i-2-22i2i−2i−2i0000000000002-22i−2i22-2-22i2i−2i−2i22-2-22i2i−2i−2i00002−2−i2i22−2−i2i20022−2−2−i2−i2i2i222−2−2−i2−i2i2i2000000000000000000000000000000
χ222-2222i−2i-2-22i2i−2i−2i0000000000002-22i−2i22-2-22i2i−2i−2i22-2-22i2i−2i−2i0000−22i2−i2−22i2−i200−2−222i2i2−i2−i2−2−222i2i2−i2−i2000000000000000000000000000000
χ232-2222i−2i-2-22i2i−2i−2i000000000000-22−2i2i-2-222−2i−2i2i2i22-2-22i2i−2i−2i0000−i2i2−22i2−i22−200−i2−i2i2i2−2−222i2i2−i2−i222−2−2000000000000000000000000000000
χ242-2222i−2i-2-22i2i−2i−2i000000000000-22−2i2i-2-222−2i−2i2i2i22-2-22i2i−2i−2i0000i2−i22−2−i2i2−2200i2i2−i2−i222−2−2−i2−i2i2i2−2−222000000000000000000000000000000
χ252-222−2i2i-2-2−2i−2i2i2i0000000000002-2−2i2i22-2-2−2i−2i2i2i22-2-2−2i−2i2i2i00002−2i2−i22−2i2−i20022−2−2i2i2−i2−i222−2−2i2i2−i2−i2000000000000000000000000000000
χ262-222−2i2i-2-2−2i−2i2i2i0000000000002-2−2i2i22-2-2−2i−2i2i2i22-2-2−2i−2i2i2i0000−22−i2i2−22−i2i200−2−222−i2−i2i2i2−2−222−i2−i2i2i2000000000000000000000000000000
χ272-222−2i2i-2-2−2i−2i2i2i000000000000-222i−2i-2-2222i2i−2i−2i22-2-2−2i−2i2i2i0000−i2i22−2i2−i2−2200−i2−i2i2i222−2−2i2i2−i2−i2−2−222000000000000000000000000000000
χ282-222−2i2i-2-2−2i−2i2i2i000000000000-222i−2i-2-2222i2i−2i−2i22-2-2−2i−2i2i2i0000i2−i2−22−i2i22−200i2i2−i2−i2−2−222−i2−i2i2i222−2−2000000000000000000000000000000
χ2933−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000000011−1−i32−1+i32iiii−i−i−i−i−1−i32−1+i32ζ14ζ22ζ14ζ22ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ2200000000000011ii−i−i−1−i32−1+i32−1−i32−1+i32ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ22
χ3033−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000000011−1−i32−1+i32−i−i−i−iiiii−1−i32−1+i32−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22ζ14ζ22ζ14ζ2200000000000011−i−iii−1−i32−1+i32−1−i32−1+i32−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22
χ3133−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3200000000-1-11+i321−i32111111111+i321−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32000000000000-1-111111+i321−i321+i321−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ3233−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3200000000-1-11+i321−i32-1-1-1-1-1-1-1-11+i321−i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i32000000000000-1-1-1-1-1-11+i321−i321+i321−i321−i321+i321−i321+i321−i321+i321−i321+i32
χ3333−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000000011−1−i32−1+i32iiii−i−i−i−i−1−i32−1+i32ζ14ζ22ζ14ζ22ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22000000000000-1-1−i−iii1+i321−i321+i321−i32−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22
χ3433−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000000011−1−i32−1+i32−i−i−i−iiiii−1−i32−1+i32−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22ζ14ζ22ζ14ζ22000000000000-1-1ii−i−i1+i321−i321+i321−i32ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ22
χ3533−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3200000000-1-11+i321−i32111111111+i321−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3200000000000011-1-1-1-1−1−i32−1+i32−1−i32−1+i321−i321+i321−i321+i321−i321+i321−i321+i32
χ3633−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3200000000-1-11+i321−i32-1-1-1-1-1-1-1-11+i321−i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i32000000000000111111−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ3733−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i323i−3i3ζ223ζ14−3ζ22−3ζ1411-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i3200000000-111+i321−i32ii−i−i−i−iii−1−i32−1+i32ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22000000000000i−i-111-1ζ22ζ14−ζ22−ζ141−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32
χ3833−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i323i−3i3ζ223ζ14−3ζ22−3ζ1411-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i3200000000-111+i321−i32−i−iiiii−i−i−1−i32−1+i32−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ22000000000000i−i1-1-11ζ22ζ14−ζ22−ζ14−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32
χ3933−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i323i−3i3ζ223ζ14−3ζ22−3ζ14-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32000000001-1−1−i32−1+i3211-1-111-1-11+i321−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32000000000000−iii−ii−i−ζ22−ζ14ζ22ζ14ζ14ζ22−ζ14−ζ22ζ14ζ22−ζ14−ζ22
χ4033−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i323i−3i3ζ223ζ14−3ζ22−3ζ14-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32000000001-1−1−i32−1+i32-1-111-1-1111+i321−i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32000000000000−ii−ii−ii−ζ22−ζ14ζ22ζ14−ζ14−ζ22ζ14ζ22−ζ14−ζ22ζ14ζ22
χ4133−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i32−3i3i−3ζ22−3ζ143ζ223ζ1411-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i3200000000-111+i321−i32ii−i−i−i−iii−1−i32−1+i32ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22000000000000−ii1-1-11−ζ22−ζ14ζ22ζ14−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32
χ4233−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i32−3i3i−3ζ22−3ζ143ζ223ζ1411-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i3200000000-111+i321−i32−i−iiiii−i−i−1−i32−1+i32−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ22000000000000−ii-111-1−ζ22−ζ14ζ22ζ141−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32
χ4333−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i32−3i3i−3ζ22−3ζ143ζ223ζ14-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32000000001-1−1−i32−1+i3211-1-111-1-11+i321−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32000000000000i−i−ii−iiζ22ζ14−ζ22−ζ14−ζ14−ζ22ζ14ζ22−ζ14−ζ22ζ14ζ22
χ4433−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i32−3i3i−3ζ22−3ζ143ζ223ζ14-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32000000001-1−1−i32−1+i32-1-111-1-1111+i321−i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32000000000000i−ii−ii−iζ22ζ14−ζ22−ζ14ζ14ζ22−ζ14−ζ22ζ14ζ22−ζ14−ζ22
χ4533−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000000011−1+i32−1−i32iiii−i−i−i−i−1+i32−1−i32ζ22ζ14ζ22ζ14ζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ1400000000000011ii−i−i−1+i32−1−i32−1+i32−1−i32ζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ14
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χ4733−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i3200000000-1-11−i321+i32111111111−i321+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32000000000000-1-111111−i321+i321−i321+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
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χ976-6−3+3i3−3−3i3−6i6i3−3i33+3i3−6ζ14−6ζ226ζ146ζ220000000000002-2−2i2i−1+i3−1−i31−i31+i3−2ζ14−2ζ222ζ142ζ22000000000000−i2i22−2i2−i2−2200ζ7+ζ13ζ5+ζ23−ζ7−ζ13−ζ5−ζ23−ζ7+ζ13ζ5−ζ23ζ7−ζ13−ζ5+ζ23−ζ7−ζ13−ζ5−ζ23ζ7+ζ13ζ5+ζ23ζ7−ζ13−ζ5+ζ23−ζ7+ζ13ζ5−ζ23000000000000000000000000000000
χ986-6−3+3i3−3−3i3−6i6i3−3i33+3i3−6ζ14−6ζ226ζ146ζ220000000000002-2−2i2i−1+i3−1−i31−i31+i3−2ζ14−2ζ222ζ142ζ22000000000000i2−i2−22−i2i22−200−ζ7−ζ13−ζ5−ζ23ζ7+ζ13ζ5+ζ23ζ7−ζ13−ζ5+ζ23−ζ7+ζ13ζ5−ζ23ζ7+ζ13ζ5+ζ23−ζ7−ζ13−ζ5−ζ23−ζ7+ζ13ζ5−ζ23ζ7−ζ13−ζ5+ζ23000000000000000000000000000000
χ996-6−3+3i3−3−3i3−6i6i3−3i33+3i3−6ζ14−6ζ226ζ146ζ22000000000000-222i−2i1−i31+i3−1+i3−1−i32ζ142ζ22−2ζ14−2ζ220000000000002−2i2−i22−2i2−i200−ζ7+ζ13ζ5−ζ23ζ7−ζ13−ζ5+ζ23−ζ7−ζ13−ζ5−ζ23ζ7+ζ13ζ5+ζ23−ζ7+ζ13ζ5−ζ23ζ7−ζ13−ζ5+ζ23−ζ7−ζ13−ζ5−ζ23ζ7+ζ13ζ5+ζ23000000000000000000000000000000
χ1006-6−3+3i3−3−3i3−6i6i3−3i33+3i3−6ζ14−6ζ226ζ146ζ22000000000000-222i−2i1−i31+i3−1+i3−1−i32ζ142ζ22−2ζ14−2ζ22000000000000−22−i2i2−22−i2i200ζ7−ζ13−ζ5+ζ23−ζ7+ζ13ζ5−ζ23ζ7+ζ13ζ5+ζ23−ζ7−ζ13−ζ5−ζ23ζ7−ζ13−ζ5+ζ23−ζ7+ζ13ζ5−ζ23ζ7+ζ13ζ5+ζ23−ζ7−ζ13−ζ5−ζ23000000000000000000000000000000
χ1018-8888i−8i-8-88i8i−8i−8i0000000000000000000000002-4-242i−4i−2i4i000000000000000000000000000000000000000000000000000000000000
χ1028-8888i−8i-8-88i8i−8i−8i000000000000000000000000-424-2−4i2i4i−2i000000000000000000000000000000000000000000000000000000000000
χ1038-888−8i8i-8-8−8i−8i8i8i0000000000000000000000002-4-24−2i4i2i−4i000000000000000000000000000000000000000000000000000000000000
χ1048-888−8i8i-8-8−8i−8i8i8i000000000000000000000000-424-24i−2i−4i2i000000000000000000000000000000000000000000000000000000000000

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