Finite Group Databasebeta

← Group #72258871

Character table — Group #72258871

Order 9216.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size13466121616161639121818364848484841216242448646464646182436367296969696618243636729696969612364872721441921921921921648649696192256256256256164864969619225625625625616486496961922562562562561648649696192256256256256
order1224443366222444666622244466664444441212121244444412121212444444121212123661212123366366121212336666612121266666661212126666
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32
χ3111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32
χ411-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-1
χ511-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32
χ611-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32
χ7333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000
χ833-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-110000
χ96-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i00000
χ106-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i00000
χ11111111111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ12111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−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+i321−1+i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32
χ13111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+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−i321−1+i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321
χ1411-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-1−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32
χ1511-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i3211−i32-1−1+i32−1+i321−i32−1+i32−1+i321−i321−1−i32-11+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i3211−i32-1−1+i32−1+i321−i32−1+i32−1+i321−i321−1−i32-11+i32
χ1611-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321−1+i32-11−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i3211+i32-1−1−i32−1−i321+i32−1−i32−1−i321+i321−1+i32-11−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i3211+i32-1
χ17333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000−3−3i32−3−3i32−3−3i321+i321+i321+i320000−3+3i32−3+3i32−3+3i321−i321−i321−i320000−3−3i32−3−3i32−3−3i321+i321+i321+i320000−3+3i32−3+3i32−3+3i321−i321−i321−i320000
χ1833-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-110000−3−3i32−3−3i323+3i321+i321+i32−1−i320000−3+3i32−3+3i323−3i321−i321−i32−1+i320000−3−3i32−3−3i323+3i321+i321+i32−1−i320000−3+3i32−3+3i323−3i321−i321−i32−1+i320000
χ196-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i00000−3−3i31+i302ζ11−2ζ1100000−3+3i31−i302ζ7−2ζ700000−3−3i31+i302ζ11−2ζ1100000−3+3i31−i302ζ7−2ζ700000
χ206-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i00000−3−3i31+i30−2ζ112ζ1100000−3+3i31−i30−2ζ72ζ700000−3−3i31+i30−2ζ112ζ1100000−3+3i31−i30−2ζ72ζ700000
χ21111111111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ22111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−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+i321−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321
χ23111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+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−i321−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32
χ2411-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-1−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32
χ2511-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−1−i32-11+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i3211−i32-1−1+i32−1+i321−i32−1+i32−1+i321−i321−1−i32-11+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i3211−i32-1
χ2611-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i3211+i32-1−1−i32−1−i321+i32−1−i32−1−i321+i321−1+i32-11−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i3211+i32-1−1−i32−1−i321+i32−1−i32−1−i321+i321−1+i32-11−i32
χ27333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000−3+3i32−3+3i32−3+3i321−i321−i321−i320000−3−3i32−3−3i32−3−3i321+i321+i321+i320000−3+3i32−3+3i32−3+3i321−i321−i321−i320000−3−3i32−3−3i32−3−3i321+i321+i321+i320000
χ2833-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-110000−3+3i32−3+3i323−3i321−i321−i32−1+i320000−3−3i32−3−3i323+3i321+i321+i32−1−i320000−3+3i32−3+3i323−3i321−i321−i32−1+i320000−3−3i32−3−3i323+3i321+i321+i32−1−i320000
χ296-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i00000−3+3i31−i302ζ7−2ζ700000−3−3i31+i302ζ11−2ζ1100000−3+3i31−i302ζ7−2ζ700000−3−3i31+i302ζ11−2ζ1100000
χ306-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i00000−3+3i31−i30−2ζ72ζ700000−3−3i31+i30−2ζ112ζ1100000−3+3i31−i30−2ζ72ζ700000−3−3i31+i30−2ζ112ζ1100000
χ3111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32
χ33111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32
χ3411-111-111-1-111-111-111-1-1-1-11-1-11-1-11111-111-111-1-111-111-111-1-1-1-11-1-11-1-11111-111-111-1-111-111-111-1-1-1-11-1-11-1-111-1-11-1-11-1-111
χ3511-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i32
χ3611-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i32
χ37333-1-1-10000333-1-1-10000-3-3-31110000333-1-1-10000333-1-1-10000-3-3-31110000333-1-1-10000333-1-1-10000-3-3-31110000-3-3-31110000
χ3833-3-1-11000033-3-1-110000-3-3311-1000033-3-1-11000033-3-1-110000-3-3311-1000033-3-1-11000033-3-1-110000-3-3311-10000-3-3311-10000
χ396-202i−2i000006-202i−2i00000-620−2i2i000006-202i−2i000006-202i−2i00000-620−2i2i000006-202i−2i000006-202i−2i00000-620−2i2i00000-620−2i2i00000
χ406-20−2i2i000006-20−2i2i00000-6202i−2i000006-20−2i2i000006-20−2i2i00000-6202i−2i000006-20−2i2i000006-20−2i2i00000-6202i−2i00000-6202i−2i00000
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1−1−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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ42111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i321+i321+i321+i321+i321+i321+i321−i32-11−i32-11−i321−i321−i321−i321−i321−i32-11+i32-11+i32
χ43111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i3211+i321+i321+i321+i321+i321+i32-11−i32-11−i321−i321−i321−i321−i321−i321−i321+i32-11+i32-1
χ4411-111-111-1-111-111-111-1-1-1-11-1-11-1-11111-111-111-1-111-111-111-1-1-1-11-1-11-1-111−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32
χ4511-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i3211−i32-1−1+i32−1+i321−i32−1+i32−1+i321−i321−1−i32-11+i321+i321+i32−1−i321+i321+i32−1−i321−i32-1−1+i3211−i321−i32−1+i321−i321−i32−1+i32-11+i321−1−i32
χ4611-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321−1+i32-11−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i3211+i32-11+i321+i32−1−i321+i321+i32−1−i32-11−i321−1+i321−i321−i32−1+i321−i321−i32−1+i321+i32-1−1−i321
χ47333-1-1-10000333-1-1-10000-3-3-31110000333-1-1-10000333-1-1-10000-3-3-31110000−3−3i32−3−3i32−3−3i321+i321+i321+i320000−3+3i32−3+3i32−3+3i321−i321−i321−i3200003+3i323+3i323+3i32−1−i32−1−i32−1−i3200003−3i323−3i323−3i32−1+i32−1+i32−1+i320000
χ4833-3-1-11000033-3-1-110000-3-3311-1000033-3-1-11000033-3-1-110000-3-3311-10000−3−3i32−3−3i323+3i321+i321+i32−1−i320000−3+3i32−3+3i323−3i321−i321−i32−1+i3200003+3i323+3i32−3−3i32−1−i32−1−i321+i3200003−3i323−3i32−3+3i32−1+i32−1+i321−i320000
χ496-202i−2i000006-202i−2i00000-620−2i2i000006-202i−2i000006-202i−2i00000-620−2i2i00000−3−3i31+i302ζ11−2ζ1100000−3+3i31−i302ζ7−2ζ7000003+3i3−1−i30−2ζ112ζ11000003−3i3−1+i30−2ζ72ζ700000
χ506-20−2i2i000006-20−2i2i00000-6202i−2i000006-20−2i2i000006-20−2i2i00000-6202i−2i00000−3−3i31+i30−2ζ112ζ1100000−3+3i31−i30−2ζ72ζ7000003+3i3−1−i302ζ11−2ζ11000003−3i3−1+i302ζ7−2ζ700000
χ5111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1−1+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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ52111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i3211−i321−i321−i321−i321−i321−i32-11+i32-11+i321+i321+i321+i321+i321+i321+i321−i32-11−i32-1
χ53111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i321−i321−i321−i321−i321−i321−i321+i32-11+i32-11+i321+i321+i321+i321+i321+i32-11−i32-11−i32
χ5411-111-111-1-111-111-111-1-1-1-11-1-11-1-11111-111-111-1-111-111-111-1-1-1-11-1-11-1-111−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32
χ5511-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−1−i32-11+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i3211−i32-11−i321−i32−1+i321−i321−i32−1+i32-11+i321−1−i321+i321+i32−1−i321+i321+i32−1−i321−i32-1−1+i321
χ5611-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i3211+i32-1−1−i32−1−i321+i32−1−i32−1−i321+i321−1+i32-11−i321−i321−i32−1+i321−i321−i32−1+i321+i32-1−1−i3211+i321+i32−1−i321+i321+i32−1−i32-11−i321−1+i32
χ57333-1-1-10000333-1-1-10000-3-3-31110000333-1-1-10000333-1-1-10000-3-3-31110000−3+3i32−3+3i32−3+3i321−i321−i321−i320000−3−3i32−3−3i32−3−3i321+i321+i321+i3200003−3i323−3i323−3i32−1+i32−1+i32−1+i3200003+3i323+3i323+3i32−1−i32−1−i32−1−i320000
χ5833-3-1-11000033-3-1-110000-3-3311-1000033-3-1-11000033-3-1-110000-3-3311-10000−3+3i32−3+3i323−3i321−i321−i32−1+i320000−3−3i32−3−3i323+3i321+i321+i32−1−i3200003−3i323−3i32−3+3i32−1+i32−1+i321−i3200003+3i323+3i32−3−3i32−1−i32−1−i321+i320000
χ596-202i−2i000006-202i−2i00000-620−2i2i000006-202i−2i000006-202i−2i00000-620−2i2i00000−3+3i31−i302ζ7−2ζ700000−3−3i31+i302ζ11−2ζ11000003−3i3−1+i30−2ζ72ζ7000003+3i3−1−i30−2ζ112ζ1100000
χ606-20−2i2i000006-20−2i2i00000-6202i−2i000006-20−2i2i000006-20−2i2i00000-6202i−2i00000−3+3i31−i30−2ζ72ζ700000−3−3i31+i30−2ζ112ζ11000003−3i3−1+i302ζ7−2ζ7000003+3i3−1−i302ζ11−2ζ1100000
χ61333333333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ62333333−3−3i32−3+3i32−3−3i32−3+3i32333333−3−3i32−3+3i32−3−3i32−3+3i32333333−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i320000000000000000000000000000000000000000
χ63333333−3+3i32−3−3i32−3+3i32−3−3i32333333−3+3i32−3−3i32−3+3i32−3−3i32333333−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i320000000000000000000000000000000000000000
χ6433-333-333-3-333-333-333-3-333-333-333-3-3-1-11-1-11-1-111-1-11-1-11-1-111-1-11-1-11-1-1110000000000000000000000000000000000000000
χ6533-333-3−3−3i32−3+3i323+3i323−3i3233-333-3−3−3i32−3+3i323+3i323−3i3233-333-3−3−3i32−3+3i323+3i323−3i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i320000000000000000000000000000000000000000
χ6633-333-3−3+3i32−3−3i323−3i323+3i3233-333-3−3+3i32−3−3i323−3i323+3i3233-333-3−3+3i32−3−3i323−3i323+3i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i320000000000000000000000000000000000000000
χ67999-3-3-30000999-3-3-30000999-3-3-30000-3-3-31110000-3-3-31110000-3-3-311100000000000000000000000000000000000000000000
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χ7133333333333333333333-3-3-3-3-3-3-3-3-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111110000000000000000000000000000000000000000
χ72333333−3−3i32−3+3i32−3−3i32−3+3i32333333−3−3i32−3+3i32−3−3i32−3+3i32-3-3-3-3-3-33+3i323−3i323+3i323−3i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32111111−1−i32−1+i32−1−i32−1+i320000000000000000000000000000000000000000
χ73333333−3+3i32−3−3i32−3+3i32−3−3i32333333−3+3i32−3−3i32−3+3i32−3−3i32-3-3-3-3-3-33−3i323+3i323−3i323+3i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32111111−1+i32−1−i32−1+i32−1−i320000000000000000000000000000000000000000
χ7433-333-333-3-333-333-333-3-3-3-33-3-33-3-333-1-11-1-11-1-111-1-11-1-11-1-11111-111-111-1-10000000000000000000000000000000000000000
χ7533-333-3−3−3i32−3+3i323+3i323−3i3233-333-3−3−3i32−3+3i323+3i323−3i32-3-33-3-333+3i323−3i32−3−3i32−3+3i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i3211-111-1−1−i32−1+i321+i321−i320000000000000000000000000000000000000000
χ7633-333-3−3+3i32−3−3i323−3i323+3i3233-333-3−3+3i32−3−3i323−3i323+3i32-3-33-3-333−3i323+3i32−3+3i32−3−3i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i3211-111-1−1+i32−1−i321−i321+i320000000000000000000000000000000000000000
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χ10036-120−12i12i00000-12404i−4i000000000000000−12i4i0-440000012i−4i04-40000000000000000000000000000000000000000000000000000000

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