Finite Group Databasebeta

← Group #13047866

Character table — Group #13047866

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11222444466121122244446612112224444661233666121212121818363366612121212181836336661212121218183633666121212121818363366612121212181836336661212121218183633666121212121818363366612121212181836
order123462661288436312666612242412363126666122424123631266661224241236312666612242412918936181818183672723691893618181818367272369189361818181836727236918936181818183672723691893618181818367272369189361818181836727236
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1
χ311111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-1
χ411111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-11
χ5222-22000-2000222-22000-2000222-22000-2000222-22000-2000222-22000-2000222-22000-2000222-22000-2000222-22000-2000222-22000-2000222-22000-2000222-22000-2000
χ622-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-1000
χ722-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-1000
χ822-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i31000
χ922-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i31000
χ102-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i20
χ112-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i20
χ124-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-2020000000
χ13111111111111111111111111111111111111111111111111111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ14111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32
χ1511111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32
χ1611111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32
χ17222-22000-2000222-22000-2000222-22000-2000222-22000-2000222-22000-2000−1+i3−1+i3−1+i31−i3−1+i30001−i3000−1+i3−1+i3−1+i31−i3−1+i30001−i3000−1+i3−1+i3−1+i31−i3−1+i30001−i3000−1−i3−1−i3−1−i31+i3−1−i30001+i3000−1−i3−1−i3−1−i31+i3−1−i30001+i3000−1−i3−1−i3−1−i31+i3−1−i30001+i3000
χ1822-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-1000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i32000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i32000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i32000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i32000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i32000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i32000
χ1922-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-1000−1+i3−1+i31−i32−1+i31−i321−i3−1+i32−1+i321−i32000−1+i3−1+i31−i32−1+i31−i321−i3−1+i32−1+i321−i32000−1+i3−1+i31−i32−1+i31−i321−i3−1+i32−1+i321−i32000−1−i3−1−i31+i32−1−i31+i321+i3−1−i32−1−i321+i32000−1−i3−1−i31+i32−1−i31+i321+i3−1−i32−1−i321+i32000−1−i3−1−i31+i32−1−i31+i321+i3−1−i32−1−i321+i32000
χ2022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i31000−1+i3−1+i31−i321−i31−i3203+i32−3−i32−1+i32000−1+i3−1+i31−i321−i31−i3203+i32−3−i32−1+i32000−1+i3−1+i31−i321−i31−i3203+i32−3−i32−1+i32000−1−i3−1−i31+i321+i31+i320−3+i323−i32−1−i32000−1−i3−1−i31+i321+i31+i320−3+i323−i32−1−i32000−1−i3−1−i31+i321+i31+i320−3+i323−i32−1−i32000
χ2122-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i31000−1+i3−1+i31−i321−i31−i320−3−i323+i32−1+i32000−1+i3−1+i31−i321−i31−i320−3−i323+i32−1+i32000−1+i3−1+i31−i321−i31−i320−3−i323+i32−1+i32000−1−i3−1−i31+i321+i31+i3203−i32−3+i32−1−i32000−1−i3−1−i31+i321+i31+i3203−i32−3+i32−1−i32000−1−i3−1−i31+i321+i31+i3203−i32−3+i32−1−i32000
χ222-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i20−1+i31−i3−1+i301−i30000ζ5+ζ23−ζ5−ζ230−1+i31−i3−1+i301−i30000ζ5+ζ23−ζ5−ζ230−1+i31−i3−1+i301−i30000ζ5+ζ23−ζ5−ζ230−1−i31+i3−1−i301+i30000ζ7+ζ13−ζ7−ζ130−1−i31+i3−1−i301+i30000ζ7+ζ13−ζ7−ζ130−1−i31+i3−1−i301+i30000ζ7+ζ13−ζ7−ζ130
χ232-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i20−1+i31−i3−1+i301−i30000−ζ5−ζ23ζ5+ζ230−1+i31−i3−1+i301−i30000−ζ5−ζ23ζ5+ζ230−1+i31−i3−1+i301−i30000−ζ5−ζ23ζ5+ζ230−1−i31+i3−1−i301+i30000−ζ7−ζ13ζ7+ζ130−1−i31+i3−1−i301+i30000−ζ7−ζ13ζ7+ζ130−1−i31+i3−1−i301+i30000−ζ7−ζ13ζ7+ζ130
χ244-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-2020000000−2+2i32−2i31−i30−1+i30000000−2+2i32−2i31−i30−1+i30000000−2+2i32−2i31−i30−1+i30000000−2−2i32+2i31+i30−1−i30000000−2−2i32+2i31+i30−1−i30000000−2−2i32+2i31+i30−1−i30000000
χ25111111111111111111111111111111111111111111111111111111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ26111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32
χ2711111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32
χ2811111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-11−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32
χ29222-22000-2000222-22000-2000222-22000-2000222-22000-2000222-22000-2000−1−i3−1−i3−1−i31+i3−1−i30001+i3000−1−i3−1−i3−1−i31+i3−1−i30001+i3000−1−i3−1−i3−1−i31+i3−1−i30001+i3000−1+i3−1+i3−1+i31−i3−1+i30001−i3000−1+i3−1+i3−1+i31−i3−1+i30001−i3000−1+i3−1+i3−1+i31−i3−1+i30001−i3000
χ3022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-1000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i32000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i32000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i32000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i32000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i32000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i32000
χ3122-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-1000−1−i3−1−i31+i32−1−i31+i321+i3−1−i32−1−i321+i32000−1−i3−1−i31+i32−1−i31+i321+i3−1−i32−1−i321+i32000−1−i3−1−i31+i32−1−i31+i321+i3−1−i32−1−i321+i32000−1+i3−1+i31−i32−1+i31−i321−i3−1+i32−1+i321−i32000−1+i3−1+i31−i32−1+i31−i321−i3−1+i32−1+i321−i32000−1+i3−1+i31−i32−1+i31−i321−i3−1+i32−1+i321−i32000
χ3222-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i31000−1−i3−1−i31+i321+i31+i320−3+i323−i32−1−i32000−1−i3−1−i31+i321+i31+i320−3+i323−i32−1−i32000−1−i3−1−i31+i321+i31+i320−3+i323−i32−1−i32000−1+i3−1+i31−i321−i31−i3203+i32−3−i32−1+i32000−1+i3−1+i31−i321−i31−i3203+i32−3−i32−1+i32000−1+i3−1+i31−i321−i31−i3203+i32−3−i32−1+i32000
χ3322-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i31000−1−i3−1−i31+i321+i31+i3203−i32−3+i32−1−i32000−1−i3−1−i31+i321+i31+i3203−i32−3+i32−1−i32000−1−i3−1−i31+i321+i31+i3203−i32−3+i32−1−i32000−1+i3−1+i31−i321−i31−i320−3−i323+i32−1+i32000−1+i3−1+i31−i321−i31−i320−3−i323+i32−1+i32000−1+i3−1+i31−i321−i31−i320−3−i323+i32−1+i32000
χ342-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i20−1−i31+i3−1−i301+i30000ζ7+ζ13−ζ7−ζ130−1−i31+i3−1−i301+i30000ζ7+ζ13−ζ7−ζ130−1−i31+i3−1−i301+i30000ζ7+ζ13−ζ7−ζ130−1+i31−i3−1+i301−i30000ζ5+ζ23−ζ5−ζ230−1+i31−i3−1+i301−i30000ζ5+ζ23−ζ5−ζ230−1+i31−i3−1+i301−i30000ζ5+ζ23−ζ5−ζ230
χ352-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i20−1−i31+i3−1−i301+i30000−ζ7−ζ13ζ7+ζ130−1−i31+i3−1−i301+i30000−ζ7−ζ13ζ7+ζ130−1−i31+i3−1−i301+i30000−ζ7−ζ13ζ7+ζ130−1+i31−i3−1+i301−i30000−ζ5−ζ23ζ5+ζ230−1+i31−i3−1+i301−i30000−ζ5−ζ23ζ5+ζ230−1+i31−i3−1+i301−i30000−ζ5−ζ23ζ5+ζ230
χ364-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-2020000000−2−2i32+2i31+i30−1−i30000000−2−2i32+2i31+i30−1−i30000000−2−2i32+2i31+i30−1−i30000000−2+2i32−2i31−i30−1+i30000000−2+2i32−2i31−i30−1+i30000000−2+2i32−2i31−i30−1+i30000000
χ37111111111111111111111111111111111111−1+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−i32111111111111−1+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−i32111111111111−1+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
χ38111111111-1-1-1111111111-1-1-1111111111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32111111111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32111111111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32
χ3911111-1-1-1111-111111-1-1-1111-111111-1-1-1111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i3211111-1-1-1111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i3211111-1-1-1111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32
χ4011111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i3211111-1-1-11-1-11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i3211111-1-1-11-1-11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32
χ41222-22000-2000222-22000-2000222-22000-2000−1+i3−1+i3−1+i31−i3−1+i30001−i3000−1−i3−1−i3−1−i31+i3−1−i30001+i3000222-22000-2000−1+i3−1+i3−1+i31−i3−1+i30001−i3000−1−i3−1−i3−1−i31+i3−1−i30001+i3000222-22000-2000−1+i3−1+i3−1+i31−i3−1+i30001−i3000−1−i3−1−i3−1−i31+i3−1−i30001+i3000
χ4222-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-1000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i32000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i3200022-12-12-1-1-1000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i32000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i3200022-12-12-1-1-1000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i32000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i32000
χ4322-12-1-211-100022-12-1-211-100022-12-1-211-1000−1+i3−1+i31−i32−1+i31−i321−i3−1+i32−1+i321−i32000−1−i3−1−i31+i32−1−i31+i321+i3−1−i32−1−i321+i3200022-12-1-211-1000−1+i3−1+i31−i32−1+i31−i321−i3−1+i32−1+i321−i32000−1−i3−1−i31+i32−1−i31+i321+i3−1−i32−1−i321+i3200022-12-1-211-1000−1+i3−1+i31−i32−1+i31−i321−i3−1+i32−1+i321−i32000−1−i3−1−i31+i32−1−i31+i321+i3−1−i32−1−i321+i32000
χ4422-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i31000−1+i3−1+i31−i321−i31−i3203+i32−3−i32−1+i32000−1−i3−1−i31+i321+i31+i320−3+i323−i32−1−i3200022-1-2-10−i3i31000−1+i3−1+i31−i321−i31−i3203+i32−3−i32−1+i32000−1−i3−1−i31+i321+i31+i320−3+i323−i32−1−i3200022-1-2-10−i3i31000−1+i3−1+i31−i321−i31−i3203+i32−3−i32−1+i32000−1−i3−1−i31+i321+i31+i320−3+i323−i32−1−i32000
χ4522-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i31000−1+i3−1+i31−i321−i31−i320−3−i323+i32−1+i32000−1−i3−1−i31+i321+i31+i3203−i32−3+i32−1−i3200022-1-2-10i3−i31000−1+i3−1+i31−i321−i31−i320−3−i323+i32−1+i32000−1−i3−1−i31+i321+i31+i3203−i32−3+i32−1−i3200022-1-2-10i3−i31000−1+i3−1+i31−i321−i31−i320−3−i323+i32−1+i32000−1−i3−1−i31+i321+i31+i3203−i32−3+i32−1−i32000
χ462-220-20000−i2i202-220-20000−i2i202-220-20000−i2i20−1+i31−i3−1+i301−i30000ζ5+ζ23−ζ5−ζ230−1−i31+i3−1−i301+i30000ζ7+ζ13−ζ7−ζ1302-220-20000−i2i20−1+i31−i3−1+i301−i30000ζ5+ζ23−ζ5−ζ230−1−i31+i3−1−i301+i30000ζ7+ζ13−ζ7−ζ1302-220-20000−i2i20−1+i31−i3−1+i301−i30000ζ5+ζ23−ζ5−ζ230−1−i31+i3−1−i301+i30000ζ7+ζ13−ζ7−ζ130
χ472-220-20000i2−i202-220-20000i2−i202-220-20000i2−i20−1+i31−i3−1+i301−i30000−ζ5−ζ23ζ5+ζ230−1−i31+i3−1−i301+i30000−ζ7−ζ13ζ7+ζ1302-220-20000i2−i20−1+i31−i3−1+i301−i30000−ζ5−ζ23ζ5+ζ230−1−i31+i3−1−i301+i30000−ζ7−ζ13ζ7+ζ1302-220-20000i2−i20−1+i31−i3−1+i301−i30000−ζ5−ζ23ζ5+ζ230−1−i31+i3−1−i301+i30000−ζ7−ζ13ζ7+ζ130
χ484-4-20200000004-4-20200000004-4-2020000000−2+2i32−2i31−i30−1+i30000000−2−2i32+2i31+i30−1−i300000004-4-2020000000−2+2i32−2i31−i30−1+i30000000−2−2i32+2i31+i30−1−i300000004-4-2020000000−2+2i32−2i31−i30−1+i30000000−2−2i32+2i31+i30−1−i30000000
χ49111111111111111111111111111111111111−1+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−i32111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ50111111111-1-1-1111111111-1-1-1111111111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32111111111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32111111111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32
χ5111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i3211111-1-1-1111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i3211111-1-1-1111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32
χ5211111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i3211111-1-1-11-1-11−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i3211111-1-1-11-1-11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32
χ53222-22000-2000222-22000-2000222-22000-2000−1+i3−1+i3−1+i31−i3−1+i30001−i3000−1−i3−1−i3−1−i31+i3−1−i30001+i3000−1+i3−1+i3−1+i31−i3−1+i30001−i3000−1−i3−1−i3−1−i31+i3−1−i30001+i3000222-22000-2000−1−i3−1−i3−1−i31+i3−1−i30001+i3000222-22000-2000−1+i3−1+i3−1+i31−i3−1+i30001−i3000
χ5422-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-1000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i32000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i32000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i32000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i3200022-12-12-1-1-1000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i3200022-12-12-1-1-1000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i32000
χ5522-12-1-211-100022-12-1-211-100022-12-1-211-1000−1+i3−1+i31−i32−1+i31−i321−i3−1+i32−1+i321−i32000−1−i3−1−i31+i32−1−i31+i321+i3−1−i32−1−i321+i32000−1+i3−1+i31−i32−1+i31−i321−i3−1+i32−1+i321−i32000−1−i3−1−i31+i32−1−i31+i321+i3−1−i32−1−i321+i3200022-12-1-211-1000−1−i3−1−i31+i32−1−i31+i321+i3−1−i32−1−i321+i3200022-12-1-211-1000−1+i3−1+i31−i32−1+i31−i321−i3−1+i32−1+i321−i32000
χ5622-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i31000−1+i3−1+i31−i321−i31−i3203+i32−3−i32−1+i32000−1−i3−1−i31+i321+i31+i320−3+i323−i32−1−i32000−1+i3−1+i31−i321−i31−i3203+i32−3−i32−1+i32000−1−i3−1−i31+i321+i31+i320−3+i323−i32−1−i3200022-1-2-10−i3i31000−1−i3−1−i31+i321+i31+i320−3+i323−i32−1−i3200022-1-2-10−i3i31000−1+i3−1+i31−i321−i31−i3203+i32−3−i32−1+i32000
χ5722-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i31000−1+i3−1+i31−i321−i31−i320−3−i323+i32−1+i32000−1−i3−1−i31+i321+i31+i3203−i32−3+i32−1−i32000−1+i3−1+i31−i321−i31−i320−3−i323+i32−1+i32000−1−i3−1−i31+i321+i31+i3203−i32−3+i32−1−i3200022-1-2-10i3−i31000−1−i3−1−i31+i321+i31+i3203−i32−3+i32−1−i3200022-1-2-10i3−i31000−1+i3−1+i31−i321−i31−i320−3−i323+i32−1+i32000
χ582-220-20000−i2i202-220-20000−i2i202-220-20000−i2i20−1+i31−i3−1+i301−i30000ζ5+ζ23−ζ5−ζ230−1−i31+i3−1−i301+i30000ζ7+ζ13−ζ7−ζ130−1+i31−i3−1+i301−i30000ζ5+ζ23−ζ5−ζ230−1−i31+i3−1−i301+i30000ζ7+ζ13−ζ7−ζ1302-220-20000−i2i20−1−i31+i3−1−i301+i30000ζ7+ζ13−ζ7−ζ1302-220-20000−i2i20−1+i31−i3−1+i301−i30000ζ5+ζ23−ζ5−ζ230
χ592-220-20000i2−i202-220-20000i2−i202-220-20000i2−i20−1+i31−i3−1+i301−i30000−ζ5−ζ23ζ5+ζ230−1−i31+i3−1−i301+i30000−ζ7−ζ13ζ7+ζ130−1+i31−i3−1+i301−i30000−ζ5−ζ23ζ5+ζ230−1−i31+i3−1−i301+i30000−ζ7−ζ13ζ7+ζ1302-220-20000i2−i20−1−i31+i3−1−i301+i30000−ζ7−ζ13ζ7+ζ1302-220-20000i2−i20−1+i31−i3−1+i301−i30000−ζ5−ζ23ζ5+ζ230
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χ62111111111-1-1-1111111111-1-1-1111111111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32111111111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32111111111-1-1-1
χ6311111-1-1-1111-111111-1-1-1111-111111-1-1-1111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i3211111-1-1-1111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i3211111-1-1-1111-1
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χ65222-22000-2000222-22000-2000222-22000-2000−1+i3−1+i3−1+i31−i3−1+i30001−i3000−1−i3−1−i3−1−i31+i3−1−i30001+i3000−1−i3−1−i3−1−i31+i3−1−i30001+i3000222-22000-2000−1+i3−1+i3−1+i31−i3−1+i30001−i3000−1+i3−1+i3−1+i31−i3−1+i30001−i3000−1−i3−1−i3−1−i31+i3−1−i30001+i3000222-22000-2000
χ6622-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-1000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i32000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i32000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i3200022-12-12-1-1-1000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i32000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i32000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i3200022-12-12-1-1-1000
χ6722-12-1-211-100022-12-1-211-100022-12-1-211-1000−1+i3−1+i31−i32−1+i31−i321−i3−1+i32−1+i321−i32000−1−i3−1−i31+i32−1−i31+i321+i3−1−i32−1−i321+i32000−1−i3−1−i31+i32−1−i31+i321+i3−1−i32−1−i321+i3200022-12-1-211-1000−1+i3−1+i31−i32−1+i31−i321−i3−1+i32−1+i321−i32000−1+i3−1+i31−i32−1+i31−i321−i3−1+i32−1+i321−i32000−1−i3−1−i31+i32−1−i31+i321+i3−1−i32−1−i321+i3200022-12-1-211-1000
χ6822-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i31000−1+i3−1+i31−i321−i31−i3203+i32−3−i32−1+i32000−1−i3−1−i31+i321+i31+i320−3+i323−i32−1−i32000−1−i3−1−i31+i321+i31+i320−3+i323−i32−1−i3200022-1-2-10−i3i31000−1+i3−1+i31−i321−i31−i3203+i32−3−i32−1+i32000−1+i3−1+i31−i321−i31−i3203+i32−3−i32−1+i32000−1−i3−1−i31+i321+i31+i320−3+i323−i32−1−i3200022-1-2-10−i3i31000
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χ74111111111-1-1-1111111111-1-1-1111111111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32111111111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32111111111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32
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χ77222-22000-2000222-22000-2000222-22000-2000−1−i3−1−i3−1−i31+i3−1−i30001+i3000−1+i3−1+i3−1+i31−i3−1+i30001−i3000222-22000-2000−1−i3−1−i3−1−i31+i3−1−i30001+i3000−1+i3−1+i3−1+i31−i3−1+i30001−i3000222-22000-2000−1−i3−1−i3−1−i31+i3−1−i30001+i3000−1+i3−1+i3−1+i31−i3−1+i30001−i3000
χ7822-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-1000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i32000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i3200022-12-12-1-1-1000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i32000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i3200022-12-12-1-1-1000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i32000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i32000
χ7922-12-1-211-100022-12-1-211-100022-12-1-211-1000−1−i3−1−i31+i32−1−i31+i321+i3−1−i32−1−i321+i32000−1+i3−1+i31−i32−1+i31−i321−i3−1+i32−1+i321−i3200022-12-1-211-1000−1−i3−1−i31+i32−1−i31+i321+i3−1−i32−1−i321+i32000−1+i3−1+i31−i32−1+i31−i321−i3−1+i32−1+i321−i3200022-12-1-211-1000−1−i3−1−i31+i32−1−i31+i321+i3−1−i32−1−i321+i32000−1+i3−1+i31−i32−1+i31−i321−i3−1+i32−1+i321−i32000
χ8022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i31000−1−i3−1−i31+i321+i31+i320−3+i323−i32−1−i32000−1+i3−1+i31−i321−i31−i3203+i32−3−i32−1+i3200022-1-2-10−i3i31000−1−i3−1−i31+i321+i31+i320−3+i323−i32−1−i32000−1+i3−1+i31−i321−i31−i3203+i32−3−i32−1+i3200022-1-2-10−i3i31000−1−i3−1−i31+i321+i31+i320−3+i323−i32−1−i32000−1+i3−1+i31−i321−i31−i3203+i32−3−i32−1+i32000
χ8122-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i31000−1−i3−1−i31+i321+i31+i3203−i32−3+i32−1−i32000−1+i3−1+i31−i321−i31−i320−3−i323+i32−1+i3200022-1-2-10i3−i31000−1−i3−1−i31+i321+i31+i3203−i32−3+i32−1−i32000−1+i3−1+i31−i321−i31−i320−3−i323+i32−1+i3200022-1-2-10i3−i31000−1−i3−1−i31+i321+i31+i3203−i32−3+i32−1−i32000−1+i3−1+i31−i321−i31−i320−3−i323+i32−1+i32000
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χ12433333-3-3-33-3-33−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i323+3i32−3−3i323+3i323+3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i323−3i32−3+3i323−3i323−3i32−3+3i32000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ125666-66000-6000−3−3i3−3−3i3−3−3i33+3i3−3−3i30003+3i3000−3+3i3−3+3i3−3+3i33−3i3−3+3i30003−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12666-36-36-3-3-3000−3−3i3−3−3i33+3i32−3−3i33+3i32−3−3i33+3i323+3i323+3i32000−3+3i3−3+3i33−3i32−3+3i33−3i32−3+3i33−3i323−3i323−3i32000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12766-36-3-633-3000−3−3i3−3−3i33+3i32−3−3i33+3i323+3i3−3−3i32−3−3i323+3i32000−3+3i3−3+3i33−3i32−3+3i33−3i323−3i3−3+3i32−3+3i323−3i32000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12866-3-6-30−3i33i33000−3−3i3−3−3i33+3i323+3i33+3i320−9+3i329−3i32−3−3i32000−3+3i3−3+3i33−3i323−3i33−3i3209+3i32−9−3i32−3+3i32000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12966-3-6-303i3−3i33000−3−3i3−3−3i33+3i323+3i33+3i3209−3i32−9+3i32−3−3i32000−3+3i3−3+3i33−3i323−3i33−3i320−9−3i329+3i32−3+3i32000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1306-660-60000−3i23i20−3−3i33+3i3−3−3i303+3i300003ζ7+3ζ13−3ζ7−3ζ130−3+3i33−3i3−3+3i303−3i300003ζ5+3ζ23−3ζ5−3ζ230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1316-660-600003i2−3i20−3−3i33+3i3−3−3i303+3i30000−3ζ7−3ζ133ζ7+3ζ130−3+3i33−3i3−3+3i303−3i30000−3ζ5−3ζ233ζ5+3ζ230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13212-12-6060000000−6−6i36+6i33+3i30−3−3i30000000−6+6i36−6i33−3i30−3+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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