Finite Group Databasebeta

← Group #13048383

Character table — Group #13048383

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111111111111111111666666666666666121212121212121212181818181818181818181818181818181818242424242424242424242424242424242424363636363636363636
order12336699999918181818181834699121218183636363636361212123636363636368824242424727272727272727272727272333666999999181818181818266181818181818
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1
χ3111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ4111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321−i321−i321−i32
χ5111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ6111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321+i321+i321+i32
χ7222222222222222222222222222222222222222222000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000
χ8222222222222222222-12-1-1-122-1-1222222-1-1-1-1-1-1-1-1-10000000000000000002-1-12-1-12-1-12-1-12-1-12-1-1000000000
χ9222222222222222222-12-1-1-122-1-1222222-1-1-1-1-1-1-1-1-1000000000000000000-12-1-12-1-12-1-12-1-12-1-12-1000000000
χ10222222222222222222-12-1-1-122-1-1222222-1-1-1-1-1-1-1-1-1000000000000000000-1-12-1-12-1-12-1-12-1-12-1-12000000000
χ11222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1+i322−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3000000000000000000-1-1-1-1-1-11+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i32000000000
χ12222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-12-11+i321−i32221+i321−i32−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i320000000000000000002-1-12-1-1−1−i31+i321+i32−1+i31−i321−i32−1−i31+i321+i32−1+i31−i321−i32000000000
χ13222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-12-11+i321−i32221+i321−i32−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32000000000000000000-12-1-12-11+i32−1−i31+i321−i32−1+i31−i321+i32−1−i31+i321−i32−1+i31−i32000000000
χ14222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-12-11+i321−i32221+i321−i32−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32000000000000000000-1-12-1-121+i321+i32−1−i31−i321−i32−1+i31+i321+i32−1−i31−i321−i32−1+i3000000000
χ15222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1−i322−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3000000000000000000-1-1-1-1-1-11−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i32000000000
χ16222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-12-11−i321+i32221−i321+i32−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i320000000000000000002-1-12-1-1−1+i31−i321−i32−1−i31+i321+i32−1+i31−i321−i32−1−i31+i321+i32000000000
χ17222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-12-11−i321+i32221−i321+i32−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32000000000000000000-12-1-12-11−i32−1+i31−i321+i32−1−i31+i321−i32−1+i31−i321+i32−1−i31+i32000000000
χ18222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-12-11−i321+i32221−i321+i32−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32000000000000000000-1-12-1-121−i321−i32−1+i31+i321+i32−1−i31−i321−i32−1+i31+i321+i32−1−i3000000000
χ192-222-2-2222222-2-2-2-2-2-220-22200-2-2000000000000000−i2i2−i2−i2i2i2−i2−i2−i2i2i2i2−i2−i2−i2i2i2i2-1-1-1111-1-1-1-1-1-1111111000000000
χ202-222-2-2222222-2-2-2-2-2-220-22200-2-2000000000000000i2−i2i2i2−i2−i2i2i2i2−i2−i2−i2i2i2i2−i2−i2−i2-1-1-1111-1-1-1-1-1-1111111000000000
χ212-222-2-2−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31+i31+i31−i31−i31−i320-2−1−i3−1+i3001+i31−i3000000000000000−i2i2−i2−i2i2i2ζ21+ζ39ζ21+ζ39ζ21+ζ39−ζ21−ζ39−ζ21−ζ39−ζ21−ζ39ζ15+ζ69ζ15+ζ69ζ15+ζ69−ζ15−ζ69−ζ15−ζ69−ζ15−ζ69-1-1-11111+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000
χ222-222-2-2−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31+i31+i31−i31−i31−i320-2−1−i3−1+i3001+i31−i3000000000000000i2−i2i2i2−i2−i2−ζ21−ζ39−ζ21−ζ39−ζ21−ζ39ζ21+ζ39ζ21+ζ39ζ21+ζ39−ζ15−ζ69−ζ15−ζ69−ζ15−ζ69ζ15+ζ69ζ15+ζ69ζ15+ζ69-1-1-11111+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000
χ232-222-2-2−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31−i31−i31+i31+i31+i320-2−1+i3−1−i3001−i31+i3000000000000000−i2i2−i2−i2i2i2ζ15+ζ69ζ15+ζ69ζ15+ζ69−ζ15−ζ69−ζ15−ζ69−ζ15−ζ69ζ21+ζ39ζ21+ζ39ζ21+ζ39−ζ21−ζ39−ζ21−ζ39−ζ21−ζ39-1-1-11111−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000
χ242-222-2-2−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31−i31−i31+i31+i31+i320-2−1+i3−1−i3001−i31+i3000000000000000i2−i2i2i2−i2−i2−ζ15−ζ69−ζ15−ζ69−ζ15−ζ69ζ15+ζ69ζ15+ζ69ζ15+ζ69−ζ21−ζ39−ζ21−ζ39−ζ21−ζ39ζ21+ζ39ζ21+ζ39ζ21+ζ39-1-1-11111−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000
χ253333333333333333333-1333-1-133-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111000000000000000000-1-1-1-1-1-1-1-1-1
χ263333333333333333333-1333-1-133-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000111111111
χ27333333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i323-13−3−3i32−3+3i32-1-1−3−3i32−3+3i321+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000000000-1-1-11+i321+i321+i321−i321−i321−i32
χ28333333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i323-13−3−3i32−3+3i32-1-1−3−3i32−3+3i321+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32000000000000000000111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ29333333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i323-13−3+3i32−3−3i32-1-1−3+3i32−3−3i321−i321−i321−i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000000000-1-1-11−i321−i321−i321+i321+i321+i32
χ30333333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i323-13−3+3i32−3−3i32-1-1−3+3i32−3−3i321−i321−i321−i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32000000000000000000111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ3133−3−3i32−3+3i32−3−3i32−3+3i32−3ζ4−3ζ523ζ4+3ζ52−3ζ443ζ44+3ζ68−3ζ68−3ζ4−3ζ523ζ4+3ζ52−3ζ443ζ44+3ζ68−3ζ6803000−3−3i32−3+3i3200−3ζ4−3ζ523ζ4+3ζ52−3ζ443ζ44+3ζ68−3ζ6800000000011−1−i32−1+i32−1−i32−1+i32−ζ4−ζ52ζ4+ζ52−ζ4−ζ52ζ4+ζ52−ζ44ζ44+ζ68−ζ68−ζ44ζ44+ζ68−ζ680000000000000000001−1−i32−1+i32−ζ4−ζ52ζ4+ζ52−ζ44ζ44+ζ68−ζ68
χ3233−3−3i32−3+3i32−3−3i32−3+3i32−3ζ4−3ζ523ζ4+3ζ52−3ζ443ζ44+3ζ68−3ζ68−3ζ4−3ζ523ζ4+3ζ52−3ζ443ζ44+3ζ68−3ζ6803000−3−3i32−3+3i3200−3ζ4−3ζ523ζ4+3ζ52−3ζ443ζ44+3ζ68−3ζ68000000000-1-11+i321−i321+i321−i32ζ4ζ52−ζ4−ζ52ζ4ζ52−ζ4−ζ52ζ44−ζ44−ζ68ζ68ζ44−ζ44−ζ68ζ68000000000000000000-11+i321−i32ζ4ζ52−ζ4−ζ52ζ44−ζ44−ζ68ζ68
χ3333−3−3i32−3+3i32−3−3i32−3+3i32−3ζ4−3ζ523ζ4+3ζ52−3ζ443ζ44+3ζ68−3ζ68−3ζ4−3ζ523ζ4+3ζ52−3ζ443ζ44+3ζ68−3ζ680-10001+i321−i3200ζ4ζ52−ζ4−ζ52ζ44−ζ44−ζ68ζ682−1−i3−1+i3−2ζ4−2ζ522ζ4+2ζ52−2ζ442ζ44+2ζ68−2ζ6811−1−i32−1+i32−1−i32−1+i32−ζ4−ζ52ζ4+ζ52−ζ4−ζ52ζ4+ζ52−ζ44ζ44+ζ68−ζ68−ζ44ζ44+ζ68−ζ68000000000000000000-11+i321−i32ζ4ζ52−ζ4−ζ52ζ44−ζ44−ζ68ζ68
χ3433−3−3i32−3+3i32−3−3i32−3+3i32−3ζ4−3ζ523ζ4+3ζ52−3ζ443ζ44+3ζ68−3ζ68−3ζ4−3ζ523ζ4+3ζ52−3ζ443ζ44+3ζ68−3ζ680-10001+i321−i3200ζ4ζ52−ζ4−ζ52ζ44−ζ44−ζ68ζ682−1−i3−1+i3−2ζ4−2ζ522ζ4+2ζ52−2ζ442ζ44+2ζ68−2ζ68-1-11+i321−i321+i321−i32ζ4ζ52−ζ4−ζ52ζ4ζ52−ζ4−ζ52ζ44−ζ44−ζ68ζ68ζ44−ζ44−ζ68ζ680000000000000000001−1−i32−1+i32−ζ4−ζ52ζ4+ζ52−ζ44ζ44+ζ68−ζ68
χ3533−3−3i32−3+3i32−3−3i32−3+3i32−3ζ523ζ4+3ζ52−3ζ4−3ζ68−3ζ443ζ44+3ζ68−3ζ523ζ4+3ζ52−3ζ4−3ζ68−3ζ443ζ44+3ζ6803000−3−3i32−3+3i3200−3ζ523ζ4+3ζ52−3ζ4−3ζ68−3ζ443ζ44+3ζ6800000000011−1−i32−1+i32−1−i32−1+i32−ζ52ζ4+ζ52−ζ4−ζ52ζ4+ζ52−ζ4−ζ68−ζ44ζ44+ζ68−ζ68−ζ44ζ44+ζ680000000000000000001−1−i32−1+i32−ζ52ζ4+ζ52−ζ4−ζ68−ζ44ζ44+ζ68
χ3633−3−3i32−3+3i32−3−3i32−3+3i32−3ζ523ζ4+3ζ52−3ζ4−3ζ68−3ζ443ζ44+3ζ68−3ζ523ζ4+3ζ52−3ζ4−3ζ68−3ζ443ζ44+3ζ6803000−3−3i32−3+3i3200−3ζ523ζ4+3ζ52−3ζ4−3ζ68−3ζ443ζ44+3ζ68000000000-1-11+i321−i321+i321−i32ζ52−ζ4−ζ52ζ4ζ52−ζ4−ζ52ζ4ζ68ζ44−ζ44−ζ68ζ68ζ44−ζ44−ζ68000000000000000000-11+i321−i32ζ52−ζ4−ζ52ζ4ζ68ζ44−ζ44−ζ68
χ3733−3−3i32−3+3i32−3−3i32−3+3i32−3ζ523ζ4+3ζ52−3ζ4−3ζ68−3ζ443ζ44+3ζ68−3ζ523ζ4+3ζ52−3ζ4−3ζ68−3ζ443ζ44+3ζ680-10001+i321−i3200ζ52−ζ4−ζ52ζ4ζ68ζ44−ζ44−ζ682−1−i3−1+i3−2ζ522ζ4+2ζ52−2ζ4−2ζ68−2ζ442ζ44+2ζ6811−1−i32−1+i32−1−i32−1+i32−ζ52ζ4+ζ52−ζ4−ζ52ζ4+ζ52−ζ4−ζ68−ζ44ζ44+ζ68−ζ68−ζ44ζ44+ζ68000000000000000000-11+i321−i32ζ52−ζ4−ζ52ζ4ζ68ζ44−ζ44−ζ68
χ3833−3−3i32−3+3i32−3−3i32−3+3i32−3ζ523ζ4+3ζ52−3ζ4−3ζ68−3ζ443ζ44+3ζ68−3ζ523ζ4+3ζ52−3ζ4−3ζ68−3ζ443ζ44+3ζ680-10001+i321−i3200ζ52−ζ4−ζ52ζ4ζ68ζ44−ζ44−ζ682−1−i3−1+i3−2ζ522ζ4+2ζ52−2ζ4−2ζ68−2ζ442ζ44+2ζ68-1-11+i321−i321+i321−i32ζ52−ζ4−ζ52ζ4ζ52−ζ4−ζ52ζ4ζ68ζ44−ζ44−ζ68ζ68ζ44−ζ44−ζ680000000000000000001−1−i32−1+i32−ζ52ζ4+ζ52−ζ4−ζ68−ζ44ζ44+ζ68
χ3933−3−3i32−3+3i32−3−3i32−3+3i323ζ4+3ζ52−3ζ4−3ζ523ζ44+3ζ68−3ζ68−3ζ443ζ4+3ζ52−3ζ4−3ζ523ζ44+3ζ68−3ζ68−3ζ4403000−3−3i32−3+3i32003ζ4+3ζ52−3ζ4−3ζ523ζ44+3ζ68−3ζ68−3ζ4400000000011−1−i32−1+i32−1−i32−1+i32ζ4+ζ52−ζ4−ζ52ζ4+ζ52−ζ4−ζ52ζ44+ζ68−ζ68−ζ44ζ44+ζ68−ζ68−ζ440000000000000000001−1−i32−1+i32ζ4+ζ52−ζ4−ζ52ζ44+ζ68−ζ68−ζ44
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χ836-6−3+3i3−3−3i33−3i33+3i3−6ζ44−6ζ686ζ44+6ζ68−6ζ52−6ζ46ζ4+6ζ526ζ446ζ68−6ζ44−6ζ686ζ526ζ4−6ζ4−6ζ52000000000000000000000000i2−i2−ζ15−ζ69−ζ21−ζ39ζ15+ζ69ζ21+ζ39−ζ53−ζ71−ζ5−ζ23ζ5+ζ23+ζ53+ζ71ζ53+ζ71ζ5+ζ23−ζ5−ζ23−ζ53−ζ71−ζ7−ζ61−ζ13−ζ31ζ7+ζ13+ζ31+ζ61ζ7+ζ61ζ13+ζ31−ζ7−ζ13−ζ31−ζ61000000000000000000000000000
χ846-6−3+3i3−3−3i33−3i33+3i36ζ44+6ζ68−6ζ44−6ζ68−6ζ46ζ4+6ζ52−6ζ52−6ζ44−6ζ686ζ446ζ686ζ4−6ζ4−6ζ526ζ52000000000000000000000000−i2i2ζ15+ζ69ζ21+ζ39−ζ15−ζ69−ζ21−ζ39−ζ5−ζ23−ζ53−ζ71ζ53+ζ71ζ5+ζ23ζ5+ζ23+ζ53+ζ71−ζ53−ζ71−ζ5−ζ23ζ13+ζ31−ζ7−ζ13−ζ31−ζ61ζ7+ζ61−ζ13−ζ31ζ7+ζ13+ζ31+ζ61−ζ7−ζ61000000000000000000000000000
χ856-6−3+3i3−3−3i33−3i33+3i36ζ44+6ζ68−6ζ44−6ζ68−6ζ46ζ4+6ζ52−6ζ52−6ζ44−6ζ686ζ446ζ686ζ4−6ζ4−6ζ526ζ52000000000000000000000000i2−i2−ζ15−ζ69−ζ21−ζ39ζ15+ζ69ζ21+ζ39ζ5+ζ23+ζ53+ζ71−ζ53−ζ71−ζ5−ζ23−ζ5−ζ23−ζ53−ζ71ζ53+ζ71ζ5+ζ23−ζ13−ζ31ζ7+ζ13+ζ31+ζ61−ζ7−ζ61ζ13+ζ31−ζ7−ζ13−ζ31−ζ61ζ7+ζ61000000000000000000000000000
χ866-6−3+3i3−3−3i33−3i33+3i3−6ζ686ζ44+6ζ68−6ζ446ζ4+6ζ52−6ζ52−6ζ46ζ68−6ζ44−6ζ686ζ44−6ζ4−6ζ526ζ526ζ4000000000000000000000000−i2i2ζ15+ζ69ζ21+ζ39−ζ15−ζ69−ζ21−ζ39ζ5+ζ23−ζ5−ζ23−ζ53−ζ71ζ53+ζ71−ζ5−ζ23ζ5+ζ23+ζ53+ζ71−ζ53−ζ71−ζ7−ζ13−ζ31−ζ61ζ7+ζ61ζ13+ζ31ζ7+ζ13+ζ31+ζ61−ζ7−ζ61−ζ13−ζ31000000000000000000000000000
χ876-6−3+3i3−3−3i33−3i33+3i3−6ζ686ζ44+6ζ68−6ζ446ζ4+6ζ52−6ζ52−6ζ46ζ68−6ζ44−6ζ686ζ44−6ζ4−6ζ526ζ526ζ4000000000000000000000000i2−i2−ζ15−ζ69−ζ21−ζ39ζ15+ζ69ζ21+ζ39−ζ5−ζ23ζ5+ζ23+ζ53+ζ71−ζ53−ζ71ζ5+ζ23−ζ5−ζ23−ζ53−ζ71ζ53+ζ71ζ7+ζ13+ζ31+ζ61−ζ7−ζ61−ζ13−ζ31−ζ7−ζ13−ζ31−ζ61ζ7+ζ61ζ13+ζ31000000000000000000000000000

Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.