Finite Group Databasebeta

← Group #13158461

Character table — Group #13158461

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189
size111122222222224444444444444466666688888888121212121212121212121212121212242424363672111122222222224444444444444466666688888888121212121212121212121212121212242424363672111122222222224444444444444466666688888888121212121212121212121212121212242424363672
order1222334466666622366666661212121244121212126666661212244668812121212242424242668843666331212666666663666666612121212121212121212666666121261212662424121212122424242466624241236663312126666666636666666121212121212121212126666661212612126624241212121224242424666242412
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-11111111-1-1-11111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-11111111-1-1-11111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-11111111-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ511111111111111-1-11-1-1-1-11111111111111-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-1-111-111111111111111-1-11-1-1-1-11111111111111-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-1-111-111111111111111-1-11-1-1-1-11111111111111-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-1-111-1
χ611111111111111-1-11-1-1-1-11111111111111-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1111-1-1111111111111111-1-11-1-1-1-11111111111111-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1111-1-1111111111111111-1-11-1-1-1-11111111111111-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1111-1-11
χ711111111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111111111-1-1-1-1-1111111111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111111111-1-1-1-1-1111111111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111111111-1-1-1-1-11
χ811111111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-1-111111-111111111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-1-111111-111111111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-1-111111-1
χ9222222-2-22222220020000222-2-2-2-2222222000000-2-2-200-2-20000000000000000222222-2-22222220020000222-2-2-2-2222222000000-2-2-200-2-20000000000000000222222-2-22222220020000222-2-2-2-2222222000000-2-2-200-2-20000000000000000
χ10222222-2-22222220020000222-2-2-2-2-2-2-2-2-2-2000000-2-2200220000000000000000222222-2-22222220020000222-2-2-2-2-2-2-2-2-2-2000000-2-2200220000000000000000222222-2-22222220020000222-2-2-2-2-2-2-2-2-2-2000000-2-2200220000000000000000
χ1122222-12222-1-1-1222-12222-1-1-1-122-1000000-1-1-1-1-1-1-1-100000220000-1-1-1-12-1-100022222-12222-1-1-1222-12222-1-1-1-122-1000000-1-1-1-1-1-1-1-100000220000-1-1-1-12-1-100022222-12222-1-1-1222-12222-1-1-1-122-1000000-1-1-1-1-1-1-1-100000220000-1-1-1-12-1-1000
χ1222222-12222-1-1-1222-12222-1-1-1-122-1000000-1-1-1-1-1-1-1-100000-2-200001111-21100022222-12222-1-1-1222-12222-1-1-1-122-1000000-1-1-1-1-1-1-1-100000-2-200001111-21100022222-12222-1-1-1222-12222-1-1-1-122-1000000-1-1-1-1-1-1-1-100000-2-200001111-211000
χ1322222-12222-1-1-12-2-2-1-2-2-2-2-1-1-1-122-1000000111111-1-100000220000-1-1-1-1-21100022222-12222-1-1-12-2-2-1-2-2-2-2-1-1-1-122-1000000111111-1-100000220000-1-1-1-1-21100022222-12222-1-1-12-2-2-1-2-2-2-2-1-1-1-122-1000000111111-1-100000220000-1-1-1-1-211000
χ1422222-12222-1-1-12-2-2-1-2-2-2-2-1-1-1-122-1000000111111-1-100000-2-2000011112-1-100022222-12222-1-1-12-2-2-1-2-2-2-2-1-1-1-122-1000000111111-1-100000-2-2000011112-1-100022222-12222-1-1-12-2-2-1-2-2-2-2-1-1-1-122-1000000111111-1-100000-2-2000011112-1-1000
χ152222-1222-1-1222-122-1-1-1-1-1-1-1-12-1-1222-1-1-1-122-1-1-1-1-1-1222-1-100-1-1-1-100000000002222-1222-1-1222-122-1-1-1-1-1-1-1-12-1-1222-1-1-1-122-1-1-1-1-1-1222-1-100-1-1-1-100000000002222-1222-1-1222-122-1-1-1-1-1-1-1-12-1-1222-1-1-1-122-1-1-1-1-1-1222-1-100-1-1-1-10000000000
χ162222-1222-1-1222-122-1-1-1-1-1-1-1-12-1-12-2-2111122-1-1-1-1-1-1-2-2-21100111100000000002222-1222-1-1222-122-1-1-1-1-1-1-1-12-1-12-2-2111122-1-1-1-1-1-1-2-2-21100111100000000002222-1222-1-1222-122-1-1-1-1-1-1-1-12-1-12-2-2111122-1-1-1-1-1-1-2-2-2110011110000000000
χ172222-1222-1-1222-1-2-2-11111-1-1-12-1-1222-1-1-1-1-2-21111-1-12-2-2-1-100111100000000002222-1222-1-1222-1-2-2-11111-1-1-12-1-1222-1-1-1-1-2-21111-1-12-2-2-1-100111100000000002222-1222-1-1222-1-2-2-11111-1-1-12-1-1222-1-1-1-1-2-21111-1-12-2-2-1-10011110000000000
χ182222-1222-1-1222-1-2-2-11111-1-1-12-1-12-2-21111-2-21111-1-1-2221100-1-1-1-100000000002222-1222-1-1222-1-2-2-11111-1-1-12-1-12-2-21111-2-21111-1-1-2221100-1-1-1-100000000002222-1222-1-1222-1-2-2-11111-1-1-12-1-12-2-21111-2-21111-1-1-2221100-1-1-1-10000000000
χ192222-12-2-2-1-1222-100-1−i3−i3i3i3-1-1-1-211-222-1-1-1-100−i3−i3i3i311-2001100−i3−i3i3i300000000002222-12-2-2-1-1222-100-1−i3−i3i3i3-1-1-1-211-222-1-1-1-100−i3−i3i3i311-2001100−i3−i3i3i300000000002222-12-2-2-1-1222-100-1−i3−i3i3i3-1-1-1-211-222-1-1-1-100−i3−i3i3i311-2001100−i3−i3i3i30000000000
χ202222-12-2-2-1-1222-100-1−i3−i3i3i3-1-1-1-211-2-2-2111100−i3−i3i3i311200-1-100i3i3−i3−i300000000002222-12-2-2-1-1222-100-1−i3−i3i3i3-1-1-1-211-2-2-2111100−i3−i3i3i311200-1-100i3i3−i3−i300000000002222-12-2-2-1-1222-100-1−i3−i3i3i3-1-1-1-211-2-2-2111100−i3−i3i3i311200-1-100i3i3−i3−i30000000000
χ212222-12-2-2-1-1222-100-1i3i3−i3−i3-1-1-1-211-222-1-1-1-100i3i3−i3−i311-2001100i3i3−i3−i300000000002222-12-2-2-1-1222-100-1i3i3−i3−i3-1-1-1-211-222-1-1-1-100i3i3−i3−i311-2001100i3i3−i3−i300000000002222-12-2-2-1-1222-100-1i3i3−i3−i3-1-1-1-211-222-1-1-1-100i3i3−i3−i311-2001100i3i3−i3−i30000000000
χ222222-12-2-2-1-1222-100-1i3i3−i3−i3-1-1-1-211-2-2-2111100i3i3−i3−i311200-1-100−i3−i3i3i300000000002222-12-2-2-1-1222-100-1i3i3−i3−i3-1-1-1-211-2-2-2111100i3i3−i3−i311200-1-100−i3−i3i3i300000000002222-12-2-2-1-1222-100-1i3i3−i3−i3-1-1-1-211-2-2-2111100i3i3−i3−i311200-1-100−i3−i3i3i30000000000
χ2322-2-222002-22-2-2-200200002-2-200002i−2i2i2i−2i−2i00000000000002−2000022−2−2000−i2i2022-2-222002-22-2-2-200200002-2-200002i−2i2i2i−2i−2i00000000000002−2000022−2−2000−i2i2022-2-222002-22-2-2-200200002-2-200002i−2i2i2i−2i−2i00000000000002−2000022−2−2000−i2i20
χ2422-2-222002-22-2-2-200200002-2-200002i−2i2i2i−2i−2i0000000000000−220000−2−222000i2−i2022-2-222002-22-2-2-200200002-2-200002i−2i2i2i−2i−2i0000000000000−220000−2−222000i2−i2022-2-222002-22-2-2-200200002-2-200002i−2i2i2i−2i−2i0000000000000−220000−2−222000i2−i20
χ2522-2-222002-22-2-2-200200002-2-20000−2i2i−2i−2i2i2i00000000000002−2000022−2−2000i2−i2022-2-222002-22-2-2-200200002-2-20000−2i2i−2i−2i2i2i00000000000002−2000022−2−2000i2−i2022-2-222002-22-2-2-200200002-2-20000−2i2i−2i−2i2i2i00000000000002−2000022−2−2000i2−i20
χ2622-2-222002-22-2-2-200200002-2-20000−2i2i−2i−2i2i2i0000000000000−220000−2−222000−i2i2022-2-222002-22-2-2-200200002-2-20000−2i2i−2i−2i2i2i0000000000000−220000−2−222000−i2i2022-2-222002-22-2-2-200200002-2-20000−2i2i−2i−2i2i2i0000000000000−220000−2−222000−i2i20
χ272-22-2222-2-2-2-2-2222-222-22-2-2-22-22-220000002-22-22-22-20000000000000000000002-22-2222-2-2-2-2-2222-222-22-2-2-22-22-220000002-22-22-22-20000000000000000000002-22-2222-2-2-2-2-2222-222-22-2-2-22-22-220000002-22-22-22-2000000000000000000000
χ282-22-2222-2-2-2-2-222-222-22-22-2-22-22-22000000-22-22-222-20000000000000000000002-22-2222-2-2-2-2-222-222-22-22-2-22-22-22000000-22-22-222-20000000000000000000002-22-2222-2-2-2-2-222-222-22-22-2-22-22-22000000-22-22-222-2000000000000000000000
χ292-22-222-22-2-2-2-2220020000-2-222-22-2000000000000-2202-200002-22-200000000002-22-222-22-2-2-2-2220020000-2-222-22-2000000000000-2202-200002-22-200000000002-22-222-22-2-2-2-2220020000-2-222-22-2000000000000-2202-200002-22-20000000000
χ302-22-222-22-2-2-2-2220020000-2-222-22-2000000000000-220-220000-22-2200000000002-22-222-22-2-2-2-2220020000-2-222-22-2000000000000-220-220000-22-2200000000002-22-222-22-2-2-2-2220020000-2-222-22-2000000000000-220-220000-22-220000000000
χ312-22-22-12-2-2-211-122-2-12-22-211-112-2-1000000-11-11-11-1100000000000−i3i3−i3i30−i3i30002-22-22-12-2-2-211-122-2-12-22-211-112-2-1000000-11-11-11-1100000000000−i3i3−i3i30−i3i30002-22-22-12-2-2-211-122-2-12-22-211-112-2-1000000-11-11-11-1100000000000−i3i3−i3i30−i3i3000
χ322-22-22-12-2-2-211-122-2-12-22-211-112-2-1000000-11-11-11-1100000000000i3−i3i3−i30i3−i30002-22-22-12-2-2-211-122-2-12-22-211-112-2-1000000-11-11-11-1100000000000i3−i3i3−i30i3−i30002-22-22-12-2-2-211-122-2-12-22-211-112-2-1000000-11-11-11-1100000000000i3−i3i3−i30i3−i3000
χ332-22-22-12-2-2-211-12-22-1-22-2211-112-2-10000001-11-11-1-1100000000000−i3i3−i3i30i3−i30002-22-22-12-2-2-211-12-22-1-22-2211-112-2-10000001-11-11-1-1100000000000−i3i3−i3i30i3−i30002-22-22-12-2-2-211-12-22-1-22-2211-112-2-10000001-11-11-1-1100000000000−i3i3−i3i30i3−i3000
χ342-22-22-12-2-2-211-12-22-1-22-2211-112-2-10000001-11-11-1-1100000000000i3−i3i3−i30−i3i30002-22-22-12-2-2-211-12-22-1-22-2211-112-2-10000001-11-11-1-1100000000000i3−i3i3−i30−i3i30002-22-22-12-2-2-211-12-22-1-22-2211-112-2-10000001-11-11-1-1100000000000i3−i3i3−i30−i3i3000
χ352-22-2-122-211-2-22-12-2-1-11-1111-1-2-11200−i3i3−i3i32-2-11-11-11000−i3i300−i3i3i3−i300000000002-22-2-122-211-2-22-12-2-1-11-1111-1-2-11200−i3i3−i3i32-2-11-11-11000−i3i300−i3i3i3−i300000000002-22-2-122-211-2-22-12-2-1-11-1111-1-2-11200−i3i3−i3i32-2-11-11-11000−i3i300−i3i3i3−i30000000000
χ362-22-2-122-211-2-22-12-2-1-11-1111-1-2-11200i3−i3i3−i32-2-11-11-11000i3−i300i3−i3−i3i300000000002-22-2-122-211-2-22-12-2-1-11-1111-1-2-11200i3−i3i3−i32-2-11-11-11000i3−i300i3−i3−i3i300000000002-22-2-122-211-2-22-12-2-1-11-1111-1-2-11200i3−i3i3−i32-2-11-11-11000i3−i300i3−i3−i3i30000000000
χ372-22-2-122-211-2-22-1-22-11-11-111-1-2-11200−i3i3−i3i3-221-11-1-11000−i3i300i3−i3−i3i300000000002-22-2-122-211-2-22-1-22-11-11-111-1-2-11200−i3i3−i3i3-221-11-1-11000−i3i300i3−i3−i3i300000000002-22-2-122-211-2-22-1-22-11-11-111-1-2-11200−i3i3−i3i3-221-11-1-11000−i3i300i3−i3−i3i30000000000
χ382-22-2-122-211-2-22-1-22-11-11-111-1-2-11200i3−i3i3−i3-221-11-1-11000i3−i300−i3i3i3−i300000000002-22-2-122-211-2-22-1-22-11-11-111-1-2-11200i3−i3i3−i3-221-11-1-11000i3−i300−i3i3i3−i300000000002-22-2-122-211-2-22-1-22-11-11-111-1-2-11200i3−i3i3−i3-221-11-1-11000i3−i300−i3i3i3−i30000000000
χ392-22-2-12-2211-2-22-100-1−i3i3i3−i311-121-1-200−i3i3−i3i300−i3i3i3−i31-102-2i3−i300-11-1100000000002-22-2-12-2211-2-22-100-1−i3i3i3−i311-121-1-200−i3i3−i3i300−i3i3i3−i31-102-2i3−i300-11-1100000000002-22-2-12-2211-2-22-100-1−i3i3i3−i311-121-1-200−i3i3−i3i300−i3i3i3−i31-102-2i3−i300-11-110000000000
χ402-22-2-12-2211-2-22-100-1−i3i3i3−i311-121-1-200i3−i3i3−i300−i3i3i3−i31-10-22−i3i3001-11-100000000002-22-2-12-2211-2-22-100-1−i3i3i3−i311-121-1-200i3−i3i3−i300−i3i3i3−i31-10-22−i3i3001-11-100000000002-22-2-12-2211-2-22-100-1−i3i3i3−i311-121-1-200i3−i3i3−i300−i3i3i3−i31-10-22−i3i3001-11-10000000000
χ412-22-2-12-2211-2-22-100-1i3−i3−i3i311-121-1-200−i3i3−i3i300i3−i3−i3i31-10-22i3−i3001-11-100000000002-22-2-12-2211-2-22-100-1i3−i3−i3i311-121-1-200−i3i3−i3i300i3−i3−i3i31-10-22i3−i3001-11-100000000002-22-2-12-2211-2-22-100-1i3−i3−i3i311-121-1-200−i3i3−i3i300i3−i3−i3i31-10-22i3−i3001-11-10000000000
χ422-22-2-12-2211-2-22-100-1i3−i3−i3i311-121-1-200i3−i3i3−i300i3−i3−i3i31-102-2−i3i300-11-1100000000002-22-2-12-2211-2-22-100-1i3−i3−i3i311-121-1-200i3−i3i3−i300i3−i3−i3i31-102-2−i3i300-11-1100000000002-22-2-12-2211-2-22-100-1i3−i3−i3i311-121-1-200i3−i3i3−i300i3−i3−i3i31-102-2−i3i300-11-110000000000
χ4344444-2-4-444-2-2-2400-20000-2-2-22-4-420000000000002200000000000000000000044444-2-4-444-2-2-2400-20000-2-2-22-4-420000000000002200000000000000000000044444-2-4-444-2-2-2400-20000-2-2-22-4-4200000000000022000000000000000000000
χ444444-2-244-2-2-2-2-2-2441-2-2-2-2111-2-2-2-2000000-2-21111110000000000000000000004444-2-244-2-2-2-2-2-2441-2-2-2-2111-2-2-2-2000000-2-21111110000000000000000000004444-2-244-2-2-2-2-2-2441-2-2-2-2111-2-2-2-2000000-2-2111111000000000000000000000
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χ7522222-12222-1-1-1222-12222-1-1-1-122-1000000-1-1-1-1-1-1-1-100000-2-200001111-211000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i320000001−i321−i321−i321−i321−i321−i321−i321−i32000001−i31−i30000−1+i32−1+i32−1+i32−1+i321−i3−1+i32−1+i32000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i320000001+i321+i321+i321+i321+i321+i321+i321+i32000001+i31+i30000−1−i32−1−i32−1−i32−1−i321+i3−1−i32−1−i32000
χ7622222-12222-1-1-12-2-2-1-2-2-2-2-1-1-1-122-1000000111111-1-100000220000-1-1-1-1-211000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i31−i31−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i3−1+i31−i32000000−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i3200000−1+i3−1+i300001−i321−i321−i321−i321−i3−1+i32−1+i32000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i31+i31+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i3−1−i31+i32000000−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i3200000−1−i3−1−i300001+i321+i321+i321+i321+i3−1−i32−1−i32000
χ7722222-12222-1-1-12-2-2-1-2-2-2-2-1-1-1-122-1000000111111-1-100000-2-2000011112-1-1000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i31−i31−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i3−1+i31−i32000000−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32000001−i31−i30000−1+i32−1+i32−1+i32−1+i32−1+i31−i321−i32000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i31+i31+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i3−1−i31+i32000000−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32000001+i31+i30000−1−i32−1−i32−1−i32−1−i32−1−i31+i321+i32000
χ782222-1222-1-1222-122-1-1-1-1-1-1-1-12-1-1222-1-1-1-122-1-1-1-1-1-1222-1-100-1-1-1-10000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i32001−i321−i321−i321−i320000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i32001+i321+i321+i321+i320000000000
χ792222-1222-1-1222-122-1-1-1-1-1-1-1-12-1-12-2-2111122-1-1-1-1-1-1-2-2-2110011110000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i31−i3−1+i32−1+i3200−1+i32−1+i32−1+i32−1+i320000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i31+i3−1−i32−1−i3200−1−i32−1−i32−1−i32−1−i320000000000
χ802222-1222-1-1222-1-2-2-11111-1-1-12-1-1222-1-1-1-1-2-21111-1-12-2-2-1-10011110000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i31−i31−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i31−i31−i31−i321−i3200−1+i32−1+i32−1+i32−1+i320000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i31+i31+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i31+i31+i31+i321+i3200−1−i32−1−i32−1−i32−1−i320000000000
χ812222-1222-1-1222-1-2-2-11111-1-1-12-1-12-2-21111-2-21111-1-1-2221100-1-1-1-10000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i31−i31−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i31−i321−i32−1+i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i3−1+i3−1+i3−1+i32−1+i32001−i321−i321−i321−i320000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i31+i31+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i31+i321+i32−1−i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i3−1−i3−1−i3−1−i32−1−i32001+i321+i321+i321+i320000000000
χ822222-12-2-2-1-1222-100-1−i3−i3i3i3-1-1-1-211-222-1-1-1-100−i3−i3i3i311-2001100−i3−i3i3i30000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i321−i32−1+i3−1+i3−1+i31−i32001−i323+i323+i32−3−i32−3−i321−i321−i321−i321−i3−1+i32−1+i321−i3−1+i3−1+i31−i321−i321−i321−i32003+i323+i32−3−i32−3−i32−1+i32−1+i321−i300−1+i32−1+i32003+i323+i32−3−i32−3−i320000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i321+i32−1−i3−1−i3−1−i31+i32001+i32−3+i32−3+i323−i323−i321+i321+i321+i321+i3−1−i32−1−i321+i3−1−i3−1−i31+i321+i321+i321+i3200−3+i32−3+i323−i323−i32−1−i32−1−i321+i300−1−i32−1−i3200−3+i32−3+i323−i323−i320000000000
χ832222-12-2-2-1-1222-100-1−i3−i3i3i3-1-1-1-211-2-2-2111100−i3−i3i3i311200-1-100i3i3−i3−i30000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i321−i32−1+i3−1+i3−1+i31−i32001−i323+i323+i32−3−i32−3−i321−i321−i321−i321−i3−1+i32−1+i321−i31−i31−i3−1+i32−1+i32−1+i32−1+i32003+i323+i32−3−i32−3−i32−1+i32−1+i32−1+i3001−i321−i3200−3−i32−3−i323+i323+i320000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i321+i32−1−i3−1−i3−1−i31+i32001+i32−3+i32−3+i323−i323−i321+i321+i321+i321+i3−1−i32−1−i321+i31+i31+i3−1−i32−1−i32−1−i32−1−i3200−3+i32−3+i323−i323−i32−1−i32−1−i32−1−i3001+i321+i32003−i323−i32−3+i32−3+i320000000000
χ842222-12-2-2-1-1222-100-1i3i3−i3−i3-1-1-1-211-222-1-1-1-100i3i3−i3−i311-2001100i3i3−i3−i30000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i321−i32−1+i3−1+i3−1+i31−i32001−i32−3−i32−3−i323+i323+i321−i321−i321−i321−i3−1+i32−1+i321−i3−1+i3−1+i31−i321−i321−i321−i3200−3−i32−3−i323+i323+i32−1+i32−1+i321−i300−1+i32−1+i3200−3−i32−3−i323+i323+i320000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i321+i32−1−i3−1−i3−1−i31+i32001+i323−i323−i32−3+i32−3+i321+i321+i321+i321+i3−1−i32−1−i321+i3−1−i3−1−i31+i321+i321+i321+i32003−i323−i32−3+i32−3+i32−1−i32−1−i321+i300−1−i32−1−i32003−i323−i32−3+i32−3+i320000000000
χ852222-12-2-2-1-1222-100-1i3i3−i3−i3-1-1-1-211-2-2-2111100i3i3−i3−i311200-1-100−i3−i3i3i30000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i321−i32−1+i3−1+i3−1+i31−i32001−i32−3−i32−3−i323+i323+i321−i321−i321−i321−i3−1+i32−1+i321−i31−i31−i3−1+i32−1+i32−1+i32−1+i3200−3−i32−3−i323+i323+i32−1+i32−1+i32−1+i3001−i321−i32003+i323+i32−3−i32−3−i320000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i321+i32−1−i3−1−i3−1−i31+i32001+i323−i323−i32−3+i32−3+i321+i321+i321+i321+i3−1−i32−1−i321+i31+i31+i3−1−i32−1−i32−1−i32−1−i32003−i323−i32−3+i32−3+i32−1−i32−1−i32−1−i3001+i321+i3200−3+i32−3+i323−i323−i320000000000
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χ13211111111111111-1-11-1-1-1-11111111111111-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1111-1-11−1−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+i32−1−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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−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+i321−i321−i32−1+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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32
χ13311111111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111111111-1-1-1-1-11−1−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+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−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+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+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+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−i321−i32−1+i32
χ13411111111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-1-111111-1−1−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−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−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+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32
χ135222222-2-22222220020000222-2-2-2-2222222000000-2-2-200-2-20000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300−1−i30000−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i30000001+i31+i31+i3001+i31+i30000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300−1+i30000−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i30000001−i31−i31−i3001−i31−i30000000000000000
χ136222222-2-22222220020000222-2-2-2-2-2-2-2-2-2-2000000-2-2200220000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300−1−i30000−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i31+i31+i31+i30000001+i31+i3−1−i300−1−i3−1−i30000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300−1+i30000−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i31−i31−i31−i30000001−i31−i3−1+i300−1+i3−1+i30000000000000000
χ13722222-12222-1-1-1222-12222-1-1-1-122-1000000-1-1-1-1-1-1-1-100000220000-1-1-1-12-1-1000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i320000001+i321+i321+i321+i321+i321+i321+i321+i3200000−1−i3−1−i300001+i321+i321+i321+i32−1−i31+i321+i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i320000001−i321−i321−i321−i321−i321−i321−i321−i3200000−1+i3−1+i300001−i321−i321−i321−i32−1+i31−i321−i32000
χ13822222-12222-1-1-1222-12222-1-1-1-122-1000000-1-1-1-1-1-1-1-100000-2-200001111-211000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i320000001+i321+i321+i321+i321+i321+i321+i321+i32000001+i31+i30000−1−i32−1−i32−1−i32−1−i321+i3−1−i32−1−i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i320000001−i321−i321−i321−i321−i321−i321−i321−i32000001−i31−i30000−1+i32−1+i32−1+i32−1+i321−i3−1+i32−1+i32000
χ13922222-12222-1-1-12-2-2-1-2-2-2-2-1-1-1-122-1000000111111-1-100000220000-1-1-1-1-211000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i31+i31+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i3−1−i31+i32000000−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i3200000−1−i3−1−i300001+i321+i321+i321+i321+i3−1−i32−1−i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i31−i31−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i3−1+i31−i32000000−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i3200000−1+i3−1+i300001−i321−i321−i321−i321−i3−1+i32−1+i32000
χ14022222-12222-1-1-12-2-2-1-2-2-2-2-1-1-1-122-1000000111111-1-100000-2-2000011112-1-1000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i31+i31+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i3−1−i31+i32000000−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32000001+i31+i30000−1−i32−1−i32−1−i32−1−i32−1−i31+i321+i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i31−i31−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i3−1+i31−i32000000−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32000001−i31−i30000−1+i32−1+i32−1+i32−1+i32−1+i31−i321−i32000
χ1412222-1222-1-1222-122-1-1-1-1-1-1-1-12-1-1222-1-1-1-122-1-1-1-1-1-1222-1-100-1-1-1-10000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i32001+i321+i321+i321+i320000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i32001−i321−i321−i321−i320000000000
χ1422222-1222-1-1222-122-1-1-1-1-1-1-1-12-1-12-2-2111122-1-1-1-1-1-1-2-2-2110011110000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i31+i3−1−i32−1−i3200−1−i32−1−i32−1−i32−1−i320000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i31−i3−1+i32−1+i3200−1+i32−1+i32−1+i32−1+i320000000000
χ1432222-1222-1-1222-1-2-2-11111-1-1-12-1-1222-1-1-1-1-2-21111-1-12-2-2-1-10011110000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i31+i31+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i31+i31+i31+i321+i3200−1−i32−1−i32−1−i32−1−i320000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i31−i31−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i31−i31−i31−i321−i3200−1+i32−1+i32−1+i32−1+i320000000000
χ1442222-1222-1-1222-1-2-2-11111-1-1-12-1-12-2-21111-2-21111-1-1-2221100-1-1-1-10000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i31+i31+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i31+i321+i32−1−i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i3−1−i3−1−i3−1−i32−1−i32001+i321+i321+i321+i320000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i31−i31−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i31−i321−i32−1+i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i3−1+i3−1+i3−1+i32−1+i32001−i321−i321−i321−i320000000000
χ1452222-12-2-2-1-1222-100-1−i3−i3i3i3-1-1-1-211-222-1-1-1-100−i3−i3i3i311-2001100−i3−i3i3i30000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i321+i32−1−i3−1−i3−1−i31+i32001+i32−3+i32−3+i323−i323−i321+i321+i321+i321+i3−1−i32−1−i321+i3−1−i3−1−i31+i321+i321+i321+i3200−3+i32−3+i323−i323−i32−1−i32−1−i321+i300−1−i32−1−i3200−3+i32−3+i323−i323−i320000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i321−i32−1+i3−1+i3−1+i31−i32001−i323+i323+i32−3−i32−3−i321−i321−i321−i321−i3−1+i32−1+i321−i3−1+i3−1+i31−i321−i321−i321−i32003+i323+i32−3−i32−3−i32−1+i32−1+i321−i300−1+i32−1+i32003+i323+i32−3−i32−3−i320000000000
χ1462222-12-2-2-1-1222-100-1−i3−i3i3i3-1-1-1-211-2-2-2111100−i3−i3i3i311200-1-100i3i3−i3−i30000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i321+i32−1−i3−1−i3−1−i31+i32001+i32−3+i32−3+i323−i323−i321+i321+i321+i321+i3−1−i32−1−i321+i31+i31+i3−1−i32−1−i32−1−i32−1−i3200−3+i32−3+i323−i323−i32−1−i32−1−i32−1−i3001+i321+i32003−i323−i32−3+i32−3+i320000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i321−i32−1+i3−1+i3−1+i31−i32001−i323+i323+i32−3−i32−3−i321−i321−i321−i321−i3−1+i32−1+i321−i31−i31−i3−1+i32−1+i32−1+i32−1+i32003+i323+i32−3−i32−3−i32−1+i32−1+i32−1+i3001−i321−i3200−3−i32−3−i323+i323+i320000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.