Finite Group Databasebeta

← Group #64014

Character table — Group #64014

Order 288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444443333666666111122222222224444443333666666111122222222224444443333666666
order122244444436661212121212122222444444366612121212121236661212121212126666121212121212366612121212121236661212121212126666121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1
χ31111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-1
χ41111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-111
χ51-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i
χ61-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii
χ71-11-1-11i−i−ii1-11-1-11i−i−ii1-11-1-11i−i−ii1-11-1-11i−i−ii1-11-1-11i−i−ii1-11-1-11i−i−ii1-11-1-11i−i−ii1-11-1-11i−i−ii1-11-1-11i−i−ii
χ81-11-1-11−iii−i1-11-1-11−iii−i1-11-1-11−iii−i1-11-1-11−iii−i1-11-1-11−iii−i1-11-1-11−iii−i1-11-1-11−iii−i1-11-1-11−iii−i1-11-1-11−iii−i
χ922-2-200000022-2-200000022-2-200000022-2-200000022-2-200000022-2-200000022-2-200000022-2-200000022-2-2000000
χ102-2-220000002-2-220000002-2-220000002-2-220000002-2-220000002-2-220000002-2-220000002-2-220000002-2-22000000
χ1111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ12111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ131111-1-111-1-11111-1-111-1-1-1-1-1-111-1-1111111-1-111-1-11111-1-111-1-1-1-1-1-111-1-1111111-1-111-1-11111-1-111-1-1-1-1-1-111-1-111
χ141111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1
χ151-11-11-1i−ii−i1-11-11-1i−ii−i-11-11-11−ii−ii1-11-11-1i−ii−i1-11-11-1i−ii−i-11-11-11−ii−ii1-11-11-1i−ii−i1-11-11-1i−ii−i-11-11-11−ii−ii
χ161-11-11-1−ii−ii1-11-11-1−ii−ii-11-11-11i−ii−i1-11-11-1−ii−ii1-11-11-1−ii−ii-11-11-11i−ii−i1-11-11-1−ii−ii1-11-11-1−ii−ii-11-11-11i−ii−i
χ171-11-1-11i−i−ii1-11-1-11i−i−ii-11-111-1−iii−i1-11-1-11i−i−ii1-11-1-11i−i−ii-11-111-1−iii−i1-11-1-11i−i−ii1-11-1-11i−i−ii-11-111-1−iii−i
χ181-11-1-11−iii−i1-11-1-11−iii−i-11-111-1i−i−ii1-11-1-11−iii−i1-11-1-11−iii−i-11-111-1i−i−ii1-11-1-11−iii−i1-11-1-11−iii−i-11-111-1i−i−ii
χ1922-2-200000022-2-2000000-2-22200000022-2-200000022-2-2000000-2-22200000022-2-200000022-2-2000000-2-222000000
χ202-2-220000002-2-22000000-222-20000002-2-220000002-2-22000000-222-20000002-2-220000002-2-22000000-222-2000000
χ212222222222-1-1-1-1-1-1-1-1-1-100000000002222222222-1-1-1-1-1-1-1-1-1-100000000002222222222-1-1-1-1-1-1-1-1-1-10000000000
χ22222222-2-2-2-2-1-1-1-1-1-111110000000000222222-2-2-2-2-1-1-1-1-1-111110000000000222222-2-2-2-2-1-1-1-1-1-111110000000000
χ232222-2-222-2-2-1-1-1-111-1-11100000000002222-2-222-2-2-1-1-1-111-1-11100000000002222-2-222-2-2-1-1-1-111-1-1110000000000
χ242222-2-2-2-222-1-1-1-11111-1-100000000002222-2-2-2-222-1-1-1-11111-1-100000000002222-2-2-2-222-1-1-1-11111-1-10000000000
χ252-22-22-22i−2i2i−2i-11-11-11−ii−ii00000000002-22-22-22i−2i2i−2i-11-11-11−ii−ii00000000002-22-22-22i−2i2i−2i-11-11-11−ii−ii0000000000
χ262-22-22-2−2i2i−2i2i-11-11-11i−ii−i00000000002-22-22-2−2i2i−2i2i-11-11-11i−ii−i00000000002-22-22-2−2i2i−2i2i-11-11-11i−ii−i0000000000
χ272-22-2-222i−2i−2i2i-11-111-1−iii−i00000000002-22-2-222i−2i−2i2i-11-111-1−iii−i00000000002-22-2-222i−2i−2i2i-11-111-1−iii−i0000000000
χ282-22-2-22−2i2i2i−2i-11-111-1i−i−ii00000000002-22-2-22−2i2i2i−2i-11-111-1i−i−ii00000000002-22-2-22−2i2i2i−2i-11-111-1i−i−ii0000000000
χ2944-4-4000000-2-222000000000000000044-4-4000000-2-222000000000000000044-4-4000000-2-2220000000000000000
χ304-4-44000000-222-200000000000000004-4-44000000-222-200000000000000004-4-44000000-222-20000000000000000
χ31111111111111111111111111111111−1+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+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−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−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
χ32111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ331111-1-111-1-11111-1-111-1-11111-1-111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ341111-1-1-1-1111111-1-1-1-1111111-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ351-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i−1+i321−i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1−i321+i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11
χ361-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii−1+i321−i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1−i321+i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11
χ371-11-1-11i−i−ii1-11-1-11i−i−ii1-11-1-11i−i−ii−1+i321−i32−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i321−i32−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i321−i32−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1−i321+i32−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i321+i32−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i321+i32−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11
χ381-11-1-11−iii−i1-11-1-11−iii−i1-11-1-11−iii−i−1+i321−i32−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i321−i32−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i321−i32−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1−i321+i32−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i321+i32−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i321+i32−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11
χ3922-2-200000022-2-200000022-2-2000000−1+i3−1+i31−i31−i3000000−1+i3−1+i31−i31−i3000000−1+i3−1+i31−i31−i3000000−1−i3−1−i31+i31+i3000000−1−i3−1−i31+i31+i3000000−1−i3−1−i31+i31+i3000000
χ402-2-220000002-2-220000002-2-22000000−1+i31−i31−i3−1+i3000000−1+i31−i31−i3−1+i3000000−1+i31−i31−i3−1+i3000000−1−i31+i31+i3−1−i3000000−1−i31+i31+i3−1−i3000000−1−i31+i31+i3−1−i3000000
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1−1+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+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ42111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ431111-1-111-1-11111-1-111-1-1-1-1-1-111-1-111−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ441111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ451-11-11-1i−ii−i1-11-11-1i−ii−i-11-11-11−ii−ii−1+i321−i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ71−i32−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7−1−i321+i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ111+i32−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11
χ461-11-11-1−ii−ii1-11-11-1−ii−ii-11-11-11i−ii−i−1+i321−i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ71−i32−1+i321−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7−1−i321+i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ111+i32−1−i321+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11
χ471-11-1-11i−i−ii1-11-1-11i−i−ii-11-111-1−iii−i−1+i321−i32−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i321−i32−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ71−i32−1+i321−i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ7−1−i321+i32−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i321+i32−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ111+i32−1−i321+i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ11
χ481-11-1-11−iii−i1-11-1-11−iii−i-11-111-1i−i−ii−1+i321−i32−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i321−i32−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ71−i32−1+i321−i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ7−1−i321+i32−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i321+i32−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ111+i32−1−i321+i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ11
χ4922-2-200000022-2-2000000-2-222000000−1+i3−1+i31−i31−i3000000−1+i3−1+i31−i31−i30000001−i31−i3−1+i3−1+i3000000−1−i3−1−i31+i31+i3000000−1−i3−1−i31+i31+i30000001+i31+i3−1−i3−1−i3000000
χ502-2-220000002-2-22000000-222-2000000−1+i31−i31−i3−1+i3000000−1+i31−i31−i3−1+i30000001−i3−1+i3−1+i31−i3000000−1−i31+i31+i3−1−i3000000−1−i31+i31+i3−1−i30000001+i3−1−i3−1−i31+i3000000
χ512222222222-1-1-1-1-1-1-1-1-1-10000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000000000
χ52222222-2-2-2-2-1-1-1-1-1-111110000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000000000
χ532222-2-222-2-2-1-1-1-111-1-1110000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i320000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i320000000000
χ542222-2-2-2-222-1-1-1-11111-1-10000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i320000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i320000000000
χ552-22-22-22i−2i2i−2i-11-11-11−ii−ii0000000000−1+i31−i3−1+i31−i3−1+i31−i32ζ7−2ζ72ζ7−2ζ71−i32−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ70000000000−1−i31+i3−1−i31+i3−1−i31+i32ζ11−2ζ112ζ11−2ζ111+i32−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ110000000000
χ562-22-22-2−2i2i−2i2i-11-11-11i−ii−i0000000000−1+i31−i3−1+i31−i3−1+i31−i3−2ζ72ζ7−2ζ72ζ71−i32−1+i321−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ70000000000−1−i31+i3−1−i31+i3−1−i31+i3−2ζ112ζ11−2ζ112ζ111+i32−1−i321+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ110000000000
χ572-22-2-222i−2i−2i2i-11-111-1−iii−i0000000000−1+i31−i3−1+i31−i31−i3−1+i32ζ7−2ζ7−2ζ72ζ71−i32−1+i321−i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ70000000000−1−i31+i3−1−i31+i31+i3−1−i32ζ11−2ζ11−2ζ112ζ111+i32−1−i321+i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ110000000000
χ582-22-2-22−2i2i2i−2i-11-111-1i−i−ii0000000000−1+i31−i3−1+i31−i31−i3−1+i3−2ζ72ζ72ζ7−2ζ71−i32−1+i321−i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ70000000000−1−i31+i3−1−i31+i31+i3−1−i3−2ζ112ζ112ζ11−2ζ111+i32−1−i321+i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ110000000000
χ5944-4-4000000-2-2220000000000000000−2+2i3−2+2i32−2i32−2i30000001−i31−i3−1+i3−1+i30000000000000000−2−2i3−2−2i32+2i32+2i30000001+i31+i3−1−i3−1−i30000000000000000
χ604-4-44000000-222-20000000000000000−2+2i32−2i32−2i3−2+2i30000001−i3−1+i3−1+i31−i30000000000000000−2−2i32+2i32+2i3−2−2i30000001+i3−1−i3−1−i31+i30000000000000000
χ61111111111111111111111111111111−1−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−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+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+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
χ62111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ631111-1-111-1-11111-1-111-1-11111-1-111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ641111-1-1-1-1111111-1-1-1-1111111-1-1-1-111−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ651-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i−1−i321+i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1+i321−i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7
χ661-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii−1−i321+i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1+i321−i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7
χ671-11-1-11i−i−ii1-11-1-11i−i−ii1-11-1-11i−i−ii−1−i321+i32−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i321+i32−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i321+i32−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1+i321−i32−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i321−i32−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i321−i32−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7
χ681-11-1-11−iii−i1-11-1-11−iii−i1-11-1-11−iii−i−1−i321+i32−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i321+i32−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i321+i32−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1+i321−i32−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i321−i32−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i321−i32−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7
χ6922-2-200000022-2-200000022-2-2000000−1−i3−1−i31+i31+i3000000−1−i3−1−i31+i31+i3000000−1−i3−1−i31+i31+i3000000−1+i3−1+i31−i31−i3000000−1+i3−1+i31−i31−i3000000−1+i3−1+i31−i31−i3000000
χ702-2-220000002-2-220000002-2-22000000−1−i31+i31+i3−1−i3000000−1−i31+i31+i3−1−i3000000−1−i31+i31+i3−1−i3000000−1+i31−i31−i3−1+i3000000−1+i31−i31−i3−1+i3000000−1+i31−i31−i3−1+i3000000
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-1−1−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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+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+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ72111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ731111-1-111-1-11111-1-111-1-1-1-1-1-111-1-111−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ741111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ751-11-11-1i−ii−i1-11-11-1i−ii−i-11-11-11−ii−ii−1−i321+i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ111+i32−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11−1+i321−i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ71−i32−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7
χ761-11-11-1−ii−ii1-11-11-1−ii−ii-11-11-11i−ii−i−1−i321+i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ111+i32−1−i321+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11−1+i321−i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ71−i32−1+i321−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7
χ771-11-1-11i−i−ii1-11-1-11i−i−ii-11-111-1−iii−i−1−i321+i32−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i321+i32−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ111+i32−1−i321+i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ11−1+i321−i32−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i321−i32−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ71−i32−1+i321−i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ7
χ781-11-1-11−iii−i1-11-1-11−iii−i-11-111-1i−i−ii−1−i321+i32−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i321+i32−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ111+i32−1−i321+i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ11−1+i321−i32−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i321−i32−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ71−i32−1+i321−i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ7
χ7922-2-200000022-2-2000000-2-222000000−1−i3−1−i31+i31+i3000000−1−i3−1−i31+i31+i30000001+i31+i3−1−i3−1−i3000000−1+i3−1+i31−i31−i3000000−1+i3−1+i31−i31−i30000001−i31−i3−1+i3−1+i3000000
χ802-2-220000002-2-22000000-222-2000000−1−i31+i31+i3−1−i3000000−1−i31+i31+i3−1−i30000001+i3−1−i3−1−i31+i3000000−1+i31−i31−i3−1+i3000000−1+i31−i31−i3−1+i30000001−i3−1+i3−1+i31−i3000000
χ812222222222-1-1-1-1-1-1-1-1-1-10000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000000000
χ82222222-2-2-2-2-1-1-1-1-1-111110000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000000000
χ832222-2-222-2-2-1-1-1-111-1-1110000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i320000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i320000000000
χ842222-2-2-2-222-1-1-1-11111-1-10000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i320000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i320000000000
χ852-22-22-22i−2i2i−2i-11-11-11−ii−ii0000000000−1−i31+i3−1−i31+i3−1−i31+i32ζ11−2ζ112ζ11−2ζ111+i32−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ110000000000−1+i31−i3−1+i31−i3−1+i31−i32ζ7−2ζ72ζ7−2ζ71−i32−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ70000000000
χ862-22-22-2−2i2i−2i2i-11-11-11i−ii−i0000000000−1−i31+i3−1−i31+i3−1−i31+i3−2ζ112ζ11−2ζ112ζ111+i32−1−i321+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ110000000000−1+i31−i3−1+i31−i3−1+i31−i3−2ζ72ζ7−2ζ72ζ71−i32−1+i321−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ70000000000
χ872-22-2-222i−2i−2i2i-11-111-1−iii−i0000000000−1−i31+i3−1−i31+i31+i3−1−i32ζ11−2ζ11−2ζ112ζ111+i32−1−i321+i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ110000000000−1+i31−i3−1+i31−i31−i3−1+i32ζ7−2ζ7−2ζ72ζ71−i32−1+i321−i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ70000000000
χ882-22-2-22−2i2i2i−2i-11-111-1i−i−ii0000000000−1−i31+i3−1−i31+i31+i3−1−i3−2ζ112ζ112ζ11−2ζ111+i32−1−i321+i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ110000000000−1+i31−i3−1+i31−i31−i3−1+i3−2ζ72ζ72ζ7−2ζ71−i32−1+i321−i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ70000000000
χ8944-4-4000000-2-2220000000000000000−2−2i3−2−2i32+2i32+2i30000001+i31+i3−1−i3−1−i30000000000000000−2+2i3−2+2i32−2i32−2i30000001−i31−i3−1+i3−1+i30000000000000000
χ904-4-44000000-222-20000000000000000−2−2i32+2i32+2i3−2−2i30000001+i3−1−i3−1−i31+i30000000000000000−2+2i32−2i32−2i3−2+2i30000001−i3−1+i3−1+i31−i30000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.