Finite Group Databasebeta

← Group #11721222

Character table — Group #11721222

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size11222222222224444444444444444888888888888888812121212121212121212181818182424242436363636108108
order12334669991818183469991212121218181836363612121212363636363636363636363636482424727272727272246612363636412121228
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ4111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511111111111111-111111-1-11111111-11-1-1-1-1-1111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111-11-1-11-1
χ611111111111111-111111-1-11111111-11-1-1-1-1-1111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-11
χ711111111111111-111111-1-11111111-11-1-1-1-1-1111-1-1-1-1-1-1-11111111111111-1-1-1-1-11-1-1-11
χ811111111111111-111111-1-11111111-11-1-1-1-1-1111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-1111-1
χ92222222-1-1-1-1-1-1222-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-100002-1-1-1000000
χ102222222-1-1-1-1-1-1222-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111110000-2111000000
χ112222222-1-1-1-1-1-12-22-1-1-12-2-22-1-1-1-1-1-1-22-2-2111-1-1-11111112-2-2-211111100002-1-1-1000000
χ122222222-1-1-1-1-1-12-22-1-1-12-2-22-1-1-1-1-1-1-22-2-2111-1-1-1111111-2222-1-1-1-1-1-10000-2111000000
χ132222-222222222202222-200-2222-2-2-20-200000-2-2-200000000000000002-22200000-20000
χ142222-222222222202222-200-2222-2-2-20-200000-2-2-20000000000000000-22-2-20000020000
χ15222-122-1222222-12-1-1-1-1-1-1-12-1-1-12222-1-1-1222-1-1-1-1-1-1-1-1-1000000000022-1-100002-1-1-100
χ16222-122-1222222-12-1-1-1-1-1-1-12-1-1-12222-1-1-1222-1-1-1-1-1-1-1-1-10000000000-2-2110000-211100
χ17222-122-1222222-1-2-1-1-1-1-1112-1-1-1222-2-111-2-2-2-1-1-1111111000000000022-1-10000-2-11100
χ18222-122-1222222-1-2-1-1-1-1-1112-1-1-1222-2-111-2-2-2-1-1-11111110000000000-2-211000021-1-100
χ19222-1-22-1222222-10-1-1-1-11−i3i3-2-1-1-1-2-2-201−i3i3000111−i3−i3−i3i3i3i300000000002-2-1-1000001−i3i300
χ20222-1-22-1222222-10-1-1-1-11−i3i3-2-1-1-1-2-2-201−i3i3000111−i3−i3−i3i3i3i30000000000-221100000-1i3−i300
χ21222-1-22-1222222-10-1-1-1-11i3−i3-2-1-1-1-2-2-201i3−i3000111i3i3i3−i3−i3−i300000000002-2-1-1000001i3−i300
χ22222-1-22-1222222-10-1-1-1-11i3−i3-2-1-1-1-2-2-201i3−i3000111i3i3i3−i3−i3−i30000000000-221100000-1−i3i300
χ2322-122-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68222-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ680000-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000
χ2422-122-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68222-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-211−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ6800001−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000
χ2522-122-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-2-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682-2-2-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ681-111−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ682-211−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ680000-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000
χ2622-122-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-2-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682-2-2-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ681-111−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68-22-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ6800001−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000
χ2722-122-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-12-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68222-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6822-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ680000-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000
χ2822-122-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-12-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68222-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2-211−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ6800001−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68000000
χ2922-122-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-2-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682-2-2-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ681-111−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ682-211−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ680000-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000
χ3022-122-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-2-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682-2-2-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ681-111−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68-22-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ6800001−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68000000
χ3122-122-12−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-12-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52222-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5222-1-1−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ520000-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52000000
χ3222-122-12−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-12-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52222-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-2-211ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ5200001ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52000000
χ3322-122-12−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-2-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ522-2-2-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ521-111ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ522-211ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ520000-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52000000
χ3422-122-12−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-2-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ522-2-2-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ521-111ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52-22-1-1−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ5200001ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52000000
χ354444-444-2-2-2-2-2-2404-2-2-2-400-4-2-2-22220-400000222000000000000000000000000000000
χ36444-244-2-2-2-2-2-2-2-24-2111-2-2-24111-2-2-24-2-2-2-2-2-2111111111000000000000000000000000
χ37444-244-2-2-2-2-2-2-2-2-4-2111-2224111-2-2-2-4-222222111-1-1-1-1-1-1000000000000000000000000
χ38444-2-44-2-2-2-2-2-2-2-20-21112−2i32i3-411122202−2i32i3000-1-1-1i3i3i3−i3−i3−i3000000000000000000000000
χ39444-2-44-2-2-2-2-2-2-2-20-211122i3−2i3-4111222022i3−2i3000-1-1-1−i3−i3−i3i3i3i3000000000000000000000000
χ4044-24-4-242ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68-20-22ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68-40022ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ680200000−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68000000000000000000000000000000
χ4144-24-4-242ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68-20-22ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68-40022ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ680200000−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68000000000000000000000000000000
χ4244-24-4-24−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52-20-2−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52-4002−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ5202000002ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52000000000000000000000000000000
χ4344-2-24-2-22ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68141−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68-2-2-2-2−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68-21112ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000000000000000000000
χ4444-2-24-2-22ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ681-41−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68-222-2−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ6821-1-1−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000000000000000000000
χ4544-2-24-2-22ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68141−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68-2-2-2-2−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68-21112ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68000000000000000000000000
χ4644-2-24-2-22ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ681-41−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68-222-2−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ6821-1-1−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000000000000000000000
χ4744-2-24-2-2−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52141ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52-2-2-2-2ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52-2111−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52000000000000000000000000
χ4844-2-24-2-2−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ521-41ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52-222-2ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ5221-1-12ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52000000000000000000000000
χ4944-2-2-4-2-22ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68101−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ682−2i32i32−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ680-1i3−i3000ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682ζ4+ζ44+ζ52−ζ68−ζ4+ζ44+ζ52+2ζ68−ζ4−2ζ44−2ζ52−ζ68−2ζ4−ζ44−ζ52+ζ68ζ4−ζ44−ζ52−2ζ68ζ4+2ζ44+2ζ52+ζ68000000000000000000000000
χ5044-2-2-4-2-22ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68101−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ6822i3−2i32−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ680-1−i3i3000ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−2ζ4−ζ44−ζ52+ζ68ζ4−ζ44−ζ52−2ζ68ζ4+2ζ44+2ζ52+ζ682ζ4+ζ44+ζ52−ζ68−ζ4+ζ44+ζ52+2ζ68−ζ4−2ζ44−2ζ52−ζ68000000000000000000000000
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χ5444-2-2-4-2-2−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52101ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ5222i3−2i32ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ520-1−i3i3000−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+2ζ44+2ζ52+ζ68−2ζ4−ζ44−ζ52+ζ68ζ4−ζ44−ζ52−2ζ68−ζ4−2ζ44−2ζ52−ζ682ζ4+ζ44+ζ52−ζ68−ζ4+ζ44+ζ52+2ζ68000000000000000000000000
χ554-4440-4-4444-4-4-440-44440000-4-4-40000000000000000000000000000000000000000000
χ564-4440-4-4-2-2-222240-4-2-2-2000022200000000000000000000000i6−i6i6−i6i6−i600000000000000
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χ604-4-2402-42ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68-2022ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ680000−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68000000000000000000000i6−i6ζ5−ζ7−ζ23+ζ53+ζ61−ζ71−ζ5+ζ7+ζ23−ζ53−ζ61+ζ71ζ7−ζ13+ζ31−ζ53−ζ61+ζ71−ζ7+ζ13−ζ31+ζ53+ζ61−ζ71−ζ5+ζ13+ζ23−ζ31ζ5−ζ13−ζ23+ζ3100000000000000
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χ644-4-2402-4−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52-202−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ5200002ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52000000000000000000000i6−i6−ζ5+ζ13+ζ23−ζ31ζ5−ζ13−ζ23+ζ31ζ5−ζ7−ζ23+ζ53+ζ61−ζ71−ζ5+ζ7+ζ23−ζ53−ζ61+ζ71ζ7−ζ13+ζ31−ζ53−ζ61+ζ71−ζ7+ζ13−ζ31+ζ53+ζ61−ζ7100000000000000
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χ668-88-40-84-4-4-4444-4042220000-2-2-20000000000000000000000000000000000000000000
χ678-8-4-40444ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ52−4ζ4−4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ6820-2−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ6800002ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ680000000000000000000000000000000000000000000
χ688-8-4-40444ζ4−4ζ44+4ζ52−4ζ4−4ζ684ζ44−4ζ52+4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ6820-2−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ6800002ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ680000000000000000000000000000000000000000000
χ698-8-4-4044−4ζ4−4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ5220-22ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ520000−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ520000000000000000000000000000000000000000000

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