Finite Group Databasebeta

← Group #14517449

Character table — Group #14517449

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size112266666666999918181818272727272727112266666666999918181818272727272727112266666666999918181818272727272727112266666666999918181818272727272727112266666666999918181818272727272727112266666666999918181818272727272727
order12363333666633669918184412121212363633336666336699181812121212121236363333666633669918181212121212122266666666666666181818184412121212666666666666666618181818121212121212666666666666666618181818121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1
χ3111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ4111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i32111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i32111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i32111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i32111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i32111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i32
χ5111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ6111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i32111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i32111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i32111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i32111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i32111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i32
χ71-11-11111-1-1-1-111-1-111-1-1i−ii−ii−i1-11-11111-1-1-1-111-1-111-1-1i−ii−ii−i1-11-11111-1-1-1-111-1-111-1-1i−ii−ii−i1-11-11111-1-1-1-111-1-111-1-1i−ii−ii−i1-11-11111-1-1-1-111-1-111-1-1i−ii−ii−i1-11-11111-1-1-1-111-1-111-1-1i−ii−ii−i
χ81-11-11111-1-1-1-111-1-111-1-1−ii−ii−ii1-11-11111-1-1-1-111-1-111-1-1−ii−ii−ii1-11-11111-1-1-1-111-1-111-1-1−ii−ii−ii1-11-11111-1-1-1-111-1-111-1-1−ii−ii−ii1-11-11111-1-1-1-111-1-111-1-1−ii−ii−ii1-11-11111-1-1-1-111-1-111-1-1−ii−ii−ii
χ91-11-11111-1-1-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32i−iζ11−ζ11ζ7−ζ71-11-11111-1-1-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32i−iζ11−ζ11ζ7−ζ71-11-11111-1-1-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32i−iζ11−ζ11ζ7−ζ71-11-11111-1-1-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32i−iζ11−ζ11ζ7−ζ71-11-11111-1-1-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32i−iζ11−ζ11ζ7−ζ71-11-11111-1-1-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32i−iζ11−ζ11ζ7−ζ7
χ101-11-11111-1-1-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−ii−ζ11ζ11−ζ7ζ71-11-11111-1-1-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−ii−ζ11ζ11−ζ7ζ71-11-11111-1-1-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−ii−ζ11ζ11−ζ7ζ71-11-11111-1-1-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−ii−ζ11ζ11−ζ7ζ71-11-11111-1-1-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−ii−ζ11ζ11−ζ7ζ71-11-11111-1-1-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−ii−ζ11ζ11−ζ7ζ7
χ111-11-11111-1-1-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32i−iζ7−ζ7ζ11−ζ111-11-11111-1-1-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32i−iζ7−ζ7ζ11−ζ111-11-11111-1-1-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32i−iζ7−ζ7ζ11−ζ111-11-11111-1-1-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32i−iζ7−ζ7ζ11−ζ111-11-11111-1-1-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32i−iζ7−ζ7ζ11−ζ111-11-11111-1-1-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32i−iζ7−ζ7ζ11−ζ11
χ121-11-11111-1-1-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−ii−ζ7ζ7−ζ11ζ111-11-11111-1-1-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−ii−ζ7ζ7−ζ11ζ111-11-11111-1-1-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−ii−ζ7ζ7−ζ11ζ111-11-11111-1-1-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−ii−ζ7ζ7−ζ11ζ111-11-11111-1-1-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−ii−ζ7ζ7−ζ11ζ111-11-11111-1-1-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−ii−ζ7ζ7−ζ11ζ11
χ1322222-1-1-12-1-1-12222-1-1-1-100000022222-1-1-12-1-1-12222-1-1-1-100000022222-1-1-12-1-1-12222-1-1-1-100000022222-1-1-12-1-1-12222-1-1-1-100000022222-1-1-12-1-1-12222-1-1-1-100000022222-1-1-12-1-1-12222-1-1-1-1000000
χ1422222-1-1-12-1-1-1−1−i3−1+i3−1−i3−1+i31+i321−i321+i321−i3200000022222-1-1-12-1-1-1−1−i3−1+i3−1−i3−1+i31+i321−i321+i321−i3200000022222-1-1-12-1-1-1−1−i3−1+i3−1−i3−1+i31+i321−i321+i321−i3200000022222-1-1-12-1-1-1−1−i3−1+i3−1−i3−1+i31+i321−i321+i321−i3200000022222-1-1-12-1-1-1−1−i3−1+i3−1−i3−1+i31+i321−i321+i321−i3200000022222-1-1-12-1-1-1−1−i3−1+i3−1−i3−1+i31+i321−i321+i321−i32000000
χ1522222-1-1-12-1-1-1−1+i3−1−i3−1+i3−1−i31−i321+i321−i321+i3200000022222-1-1-12-1-1-1−1+i3−1−i3−1+i3−1−i31−i321+i321−i321+i3200000022222-1-1-12-1-1-1−1+i3−1−i3−1+i3−1−i31−i321+i321−i321+i3200000022222-1-1-12-1-1-1−1+i3−1−i3−1+i3−1−i31−i321+i321−i321+i3200000022222-1-1-12-1-1-1−1+i3−1−i3−1+i3−1−i31−i321+i321−i321+i3200000022222-1-1-12-1-1-1−1+i3−1−i3−1+i3−1−i31−i321+i321−i321+i32000000
χ162-22-22-1-1-1-211122-2-2-1-1110000002-22-22-1-1-1-211122-2-2-1-1110000002-22-22-1-1-1-211122-2-2-1-1110000002-22-22-1-1-1-211122-2-2-1-1110000002-22-22-1-1-1-211122-2-2-1-1110000002-22-22-1-1-1-211122-2-2-1-111000000
χ172-22-22-1-1-1-2111−1−i3−1+i31+i31−i31+i321−i32−1−i32−1+i320000002-22-22-1-1-1-2111−1−i3−1+i31+i31−i31+i321−i32−1−i32−1+i320000002-22-22-1-1-1-2111−1−i3−1+i31+i31−i31+i321−i32−1−i32−1+i320000002-22-22-1-1-1-2111−1−i3−1+i31+i31−i31+i321−i32−1−i32−1+i320000002-22-22-1-1-1-2111−1−i3−1+i31+i31−i31+i321−i32−1−i32−1+i320000002-22-22-1-1-1-2111−1−i3−1+i31+i31−i31+i321−i32−1−i32−1+i32000000
χ182-22-22-1-1-1-2111−1+i3−1−i31−i31+i31−i321+i32−1+i32−1−i320000002-22-22-1-1-1-2111−1+i3−1−i31−i31+i31−i321+i32−1+i32−1−i320000002-22-22-1-1-1-2111−1+i3−1−i31−i31+i31−i321+i32−1+i32−1−i320000002-22-22-1-1-1-2111−1+i3−1−i31−i31+i31−i321+i32−1+i32−1−i320000002-22-22-1-1-1-2111−1+i3−1−i31−i31+i31−i321+i32−1+i32−1−i320000002-22-22-1-1-1-2111−1+i3−1−i31−i31+i31−i321+i32−1+i32−1−i32000000
χ196666-3000-3000000000000000006666-3000-3000000000000000006666-3000-3000000000000000006666-3000-3000000000000000006666-3000-3000000000000000006666-3000-300000000000000000
χ2066-3-3003-3003-30000000000000066-3-3003-3003-30000000000000066-3-3003-3003-30000000000000066-3-3003-3003-30000000000000066-3-3003-3003-30000000000000066-3-3003-3003-300000000000000
χ2166-3-303-3003-300000000000000066-3-303-3003-300000000000000066-3-303-3003-300000000000000066-3-303-3003-300000000000000066-3-303-3003-300000000000000066-3-303-3003-3000000000000000
χ2266-3-30-3030-3030000000000000066-3-30-3030-3030000000000000066-3-30-3030-3030000000000000066-3-30-3030-3030000000000000066-3-30-3030-3030000000000000066-3-30-3030-30300000000000000
χ236-66-6-30003000000000000000006-66-6-30003000000000000000006-66-6-30003000000000000000006-66-6-30003000000000000000006-66-6-30003000000000000000006-66-6-3000300000000000000000
χ246-6-33003-300-33000000000000006-6-33003-300-33000000000000006-6-33003-300-33000000000000006-6-33003-300-33000000000000006-6-33003-300-33000000000000006-6-33003-300-3300000000000000
χ256-6-3303-300-330000000000000006-6-3303-300-330000000000000006-6-3303-300-330000000000000006-6-3303-300-330000000000000006-6-3303-300-330000000000000006-6-3303-300-33000000000000000
χ266-6-330-303030-3000000000000006-6-330-303030-3000000000000006-6-330-303030-3000000000000006-6-330-303030-3000000000000006-6-330-303030-3000000000000006-6-330-303030-300000000000000
χ2711111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ2811111111111111111111-1-1-1-1-1-1−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i3211111111111111111111-1-1-1-1-1-1−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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
χ29111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i321−1−i321−1−i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1+i321−1+i321−1−i32−1−i32−1+i32−1+i3211111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i321−1−i321−1−i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1+i321−1+i321−1−i32−1−i32−1+i32−1+i3211
χ30111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+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+i321−1−i321−1−i321−1−i321−1−i321−i321−i32-1-11+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+i321−1+i321−1+i321−1+i3211+i321+i321−i321−i32-1-1111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+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+i321−1−i321−1−i321−1−i321−1−i321−i321−i32-1-11+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+i321−1+i321−1+i321−1+i3211+i321+i321−i321−i32-1-1
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χ8011111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ81111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32-1-11+i321+i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32-1-11+i321+i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32-1-11+i321+i321−i321−i32
χ82111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i32111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i32111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3211−1−i32−1−i32−1+i32−1+i32
χ83111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32-1-11−i321−i321+i321+i32-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32-1-11−i321−i321+i321+i32-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32-1-11−i321−i321+i321+i32
χ84111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i32111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i32111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i32-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i32
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χ861-11-11111-1-1-1-111-1-111-1-1−ii−ii−ii1-11-11111-1-1-1-111-1-111-1-1−ii−ii−ii1-11-11111-1-1-1-111-1-111-1-1−ii−ii−ii-11-11-1-1-1-11111-1-111-1-111i−ii−ii−i-11-11-1-1-1-11111-1-111-1-111i−ii−ii−i-11-11-1-1-1-11111-1-111-1-111i−ii−ii−i
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χ881-11-11111-1-1-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−ii−ζ11ζ11−ζ7ζ71-11-11111-1-1-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−ii−ζ11ζ11−ζ7ζ71-11-11111-1-1-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−ii−ζ11ζ11−ζ7ζ7-11-11-1-1-1-111111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32i−iζ11−ζ11ζ7−ζ7-11-11-1-1-1-111111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32i−iζ11−ζ11ζ7−ζ7-11-11-1-1-1-111111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32i−iζ11−ζ11ζ7−ζ7
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χ901-11-11111-1-1-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−ii−ζ7ζ7−ζ11ζ111-11-11111-1-1-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−ii−ζ7ζ7−ζ11ζ111-11-11111-1-1-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−ii−ζ7ζ7−ζ11ζ11-11-11-1-1-1-111111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32i−iζ7−ζ7ζ11−ζ11-11-11-1-1-1-111111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32i−iζ7−ζ7ζ11−ζ11-11-11-1-1-1-111111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32i−iζ7−ζ7ζ11−ζ11
χ9122222-1-1-12-1-1-12222-1-1-1-100000022222-1-1-12-1-1-12222-1-1-1-100000022222-1-1-12-1-1-12222-1-1-1-1000000-2-2-2-2-2111-2111-2-2-2-21111000000-2-2-2-2-2111-2111-2-2-2-21111000000-2-2-2-2-2111-2111-2-2-2-21111000000
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χ942-22-22-1-1-1-211122-2-2-1-1110000002-22-22-1-1-1-211122-2-2-1-1110000002-22-22-1-1-1-211122-2-2-1-111000000-22-22-21112-1-1-1-2-22211-1-1000000-22-22-21112-1-1-1-2-22211-1-1000000-22-22-21112-1-1-1-2-22211-1-1000000
χ952-22-22-1-1-1-2111−1−i3−1+i31+i31−i31+i321−i32−1−i32−1+i320000002-22-22-1-1-1-2111−1−i3−1+i31+i31−i31+i321−i32−1−i32−1+i320000002-22-22-1-1-1-2111−1−i3−1+i31+i31−i31+i321−i32−1−i32−1+i32000000-22-22-21112-1-1-11+i31−i3−1−i3−1+i3−1−i32−1+i321+i321−i32000000-22-22-21112-1-1-11+i31−i3−1−i3−1+i3−1−i32−1+i321+i321−i32000000-22-22-21112-1-1-11+i31−i3−1−i3−1+i3−1−i32−1+i321+i321−i32000000
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χ107111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i321−1−i321−1−i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1+i321−1+i321−1−i32−1−i32−1+i32−1+i3211-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32-1-11+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32-11+i32-11+i32-11+i32-11+i321−i321−i32-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i32-11−i32-11−i32-11−i32-11+i321+i321−i321−i32-1-1
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χ1111-11-11111-1-1-1-111-1-111-1-1i−ii−ii−i−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ7−ζ7ζ7−ζ7ζ7−ζ7−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ11−ζ11ζ11−ζ11ζ11−ζ11-11-11-1-1-1-11111-1-111-1-111−ii−ii−ii1−i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ7ζ7−ζ7ζ7−ζ7ζ71+i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ11ζ11−ζ11ζ11−ζ11ζ11
χ1121-11-11111-1-1-1-111-1-111-1-1−ii−ii−ii−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ7ζ7−ζ7ζ7−ζ7ζ7−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ11ζ11−ζ11ζ11−ζ11ζ11-11-11-1-1-1-11111-1-111-1-111i−ii−ii−i1−i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ7−ζ7ζ7−ζ7ζ7−ζ71+i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ11−ζ11ζ11−ζ11ζ11−ζ11
χ1131-11-11111-1-1-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32i−iζ11−ζ11ζ7−ζ7−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−1−i32-11+i321−1−i32-11+i32ζ7−ζ7i−iζ11−ζ11−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i3211−i32-1−1+i3211−i32-1ζ11−ζ11ζ7−ζ7i−i-11-11-1-1-1-111111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−ii−ζ11ζ11−ζ7ζ71−i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-11+i321−1−i32-11+i321−1−i32−ζ7ζ7−ii−ζ11ζ111+i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i32-1−1+i3211−i32-1−1+i321−ζ11ζ11−ζ7ζ7−ii
χ1141-11-11111-1-1-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−ii−ζ11ζ11−ζ7ζ7−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−1−i32-11+i321−1−i32-11+i32−ζ7ζ7−ii−ζ11ζ11−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i3211−i32-1−1+i3211−i32-1−ζ11ζ11−ζ7ζ7−ii-11-11-1-1-1-111111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32i−iζ11−ζ11ζ7−ζ71−i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-11+i321−1−i32-11+i321−1−i32ζ7−ζ7i−iζ11−ζ111+i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i32-1−1+i3211−i32-1−1+i321ζ11−ζ11ζ7−ζ7i−i
χ1151-11-11111-1-1-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32i−iζ7−ζ7ζ11−ζ11−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i3211+i32-1−1−i3211+i32-1ζ7−ζ7ζ11−ζ11i−i−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321−1+i32-11−i321−1+i32-11−i32ζ11−ζ11i−iζ7−ζ7-11-11-1-1-1-111111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−ii−ζ7ζ7−ζ11ζ111−i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i32-1−1−i3211+i32-1−1−i321−ζ7ζ7−ζ11ζ11−ii1+i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32-11−i321−1+i32-11−i321−1+i32−ζ11ζ11−ii−ζ7ζ7
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χ1401-11-11111-1-1-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−ii−ζ11ζ11−ζ7ζ7−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i3211−i32-1−1+i3211−i32-1−ζ11ζ11−ζ7ζ7−ii−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−1−i32-11+i321−1−i32-11+i32−ζ7ζ7−ii−ζ11ζ11-11-11-1-1-1-111111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32i−iζ11−ζ11ζ7−ζ71+i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i32-1−1+i3211−i32-1−1+i321ζ11−ζ11ζ7−ζ7i−i1−i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-11+i321−1−i32-11+i321−1−i32ζ7−ζ7i−iζ11−ζ11
χ1411-11-11111-1-1-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32i−iζ7−ζ7ζ11−ζ11−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321−1+i32-11−i321−1+i32-11−i32ζ11−ζ11i−iζ7−ζ7−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i3211+i32-1−1−i3211+i32-1ζ7−ζ7ζ11−ζ11i−i-11-11-1-1-1-111111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−ii−ζ7ζ7−ζ11ζ111+i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32-11−i321−1+i32-11−i321−1+i32−ζ11ζ11−ii−ζ7ζ71−i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i32-1−1−i3211+i32-1−1−i321−ζ7ζ7−ζ11ζ11−ii
χ1421-11-11111-1-1-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−ii−ζ7ζ7−ζ11ζ11−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321−1+i32-11−i321−1+i32-11−i32−ζ11ζ11−ii−ζ7ζ7−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i3211+i32-1−1−i3211+i32-1−ζ7ζ7−ζ11ζ11−ii-11-11-1-1-1-111111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32i−iζ7−ζ7ζ11−ζ111+i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32-11−i321−1+i32-11−i321−1+i32ζ11−ζ11i−iζ7−ζ71−i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i32-1−1−i3211+i32-1−1−i321ζ7−ζ7ζ11−ζ11i−i
χ14322222-1-1-12-1-1-12222-1-1-1-1000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32000000-2-2-2-2-2111-2111-2-2-2-211110000001+i31+i31+i31+i31+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i320000001−i31−i31−i31−i31−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32000000
χ14422222-1-1-12-1-1-1−1−i3−1+i3−1−i3−1+i31+i321−i321+i321−i32000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1+i32−1+i321−i32-11−i32-1000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i322−1−i32−1−i3-11+i32-11+i32000000-2-2-2-2-2111-21111+i31−i31+i31−i3−1−i32−1+i32−1−i32−1+i320000001+i31+i31+i31+i31+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i321−i3-21−i3-2−1+i321−1+i3210000001−i31−i31−i31−i31−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i32-21+i3-21+i31−1−i321−1−i32000000
χ14522222-1-1-12-1-1-1−1+i3−1−i3−1+i3−1−i31−i321+i321−i321+i32000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i322−1+i32−1+i3-11−i32-11−i32000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1−i32−1−i321+i32-11+i32-1000000-2-2-2-2-2111-21111−i31+i31−i31+i3−1+i32−1−i32−1+i32−1−i320000001+i31+i31+i31+i31+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i32-21−i3-21−i31−1+i321−1+i320000001−i31−i31−i31−i31−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i321+i3-21+i3-2−1−i321−1−i321000000
χ1462-22-22-1-1-1-211122-2-2-1-111000000−1−i31+i3−1−i31+i3−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i32−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i32000000−1+i31−i3−1+i31−i3−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i32−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i32000000-22-22-21112-1-1-1-2-22211-1-10000001+i3−1−i31+i3−1−i31+i3−1−i32−1−i32−1−i32−1−i31+i321+i321+i321+i31+i3−1−i3−1−i3−1−i32−1−i321+i321+i320000001−i3−1+i31−i3−1+i31−i3−1+i32−1+i32−1+i32−1+i31−i321−i321−i321−i31−i3−1+i3−1+i3−1+i32−1+i321−i321−i32000000
χ1472-22-22-1-1-1-2111−1−i3−1+i31+i31−i31+i321−i32−1−i32−1+i32000000−1−i31+i3−1−i31+i3−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i32−1+i321−i3-21−i32-1−1+i321000000−1+i31−i3−1+i31−i3−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i322−1−i3-21+i3-11+i321−1−i32000000-22-22-21112-1-1-11+i31−i3−1−i3−1+i3−1−i32−1+i321+i321−i320000001+i3−1−i31+i3−1−i31+i3−1−i32−1−i32−1−i32−1−i31+i321+i321+i321−i3-2−1+i32−1+i3211−i32-10000001−i3−1+i31−i3−1+i31−i3−1+i32−1+i32−1+i32−1+i31−i321−i321−i32-21+i32−1−i31−1−i32-11+i32000000
χ1482-22-22-1-1-1-2111−1+i3−1−i31−i31+i31−i321+i32−1+i32−1−i32000000−1−i31+i3−1−i31+i3−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i322−1+i3-21−i3-11−i321−1+i32000000−1+i31−i3−1+i31−i3−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i32−1−i321+i3-21+i32-1−1−i321000000-22-22-21112-1-1-11−i31+i3−1+i3−1−i3−1+i32−1−i321−i321+i320000001+i3−1−i31+i3−1−i31+i3−1−i32−1−i32−1−i32−1−i31+i321+i321+i32-21−i32−1+i31−1+i32-11−i320000001−i3−1+i31−i3−1+i31−i3−1+i32−1+i32−1+i32−1+i31−i321−i321−i321+i3-2−1−i32−1−i3211+i32-1000000
χ1496666-3000-300000000000000000−3−3i3−3−3i3−3−3i3−3−3i33+3i320003+3i3200000000000000000−3+3i3−3+3i3−3+3i3−3+3i33−3i320003−3i3200000000000000000-6-6-6-630003000000000000000003+3i33+3i33+3i33+3i3−3−3i32000−3−3i32000000000000000003−3i33−3i33−3i33−3i3−3+3i32000−3+3i3200000000000000000
χ15066-3-3003-3003-300000000000000−3−3i3−3−3i33+3i323+3i3200−3−3i323+3i3200−3−3i323+3i3200000000000000−3+3i3−3+3i33−3i323−3i3200−3+3i323−3i3200−3+3i323−3i3200000000000000-6-63300-3300-33000000000000003+3i33+3i3−3−3i32−3−3i32003+3i32−3−3i32003+3i32−3−3i32000000000000003−3i33−3i3−3+3i32−3+3i32003−3i32−3+3i32003−3i32−3+3i3200000000000000
χ15166-3-303-3003-3000000000000000−3−3i3−3−3i33+3i323+3i320−3−3i323+3i3200−3−3i323+3i32000000000000000−3+3i3−3+3i33−3i323−3i320−3+3i323−3i3200−3+3i323−3i32000000000000000-6-6330-3300-330000000000000003+3i33+3i3−3−3i32−3−3i3203+3i32−3−3i32003+3i32−3−3i320000000000000003−3i33−3i3−3+3i32−3+3i3203−3i32−3+3i32003−3i32−3+3i32000000000000000
χ15266-3-30-3030-30300000000000000−3−3i3−3−3i33+3i323+3i3203+3i320−3−3i3203+3i320−3−3i3200000000000000−3+3i3−3+3i33−3i323−3i3203−3i320−3+3i3203−3i320−3+3i3200000000000000-6-633030-3030-3000000000000003+3i33+3i3−3−3i32−3−3i320−3−3i3203+3i320−3−3i3203+3i32000000000000003−3i33−3i3−3+3i32−3+3i320−3+3i3203−3i320−3+3i3203−3i3200000000000000
χ1536-66-6-3000300000000000000000−3−3i33+3i3−3−3i33+3i33+3i32000−3−3i3200000000000000000−3+3i33−3i3−3+3i33−3i33−3i32000−3+3i3200000000000000000-66-663000-3000000000000000003+3i3−3−3i33+3i3−3−3i3−3−3i320003+3i32000000000000000003−3i3−3+3i33−3i3−3+3i3−3+3i320003−3i3200000000000000000
χ1546-6-33003-300-3300000000000000−3−3i33+3i33+3i32−3−3i3200−3−3i323+3i32003+3i32−3−3i3200000000000000−3+3i33−3i33−3i32−3+3i3200−3+3i323−3i32003−3i32−3+3i3200000000000000-663-300-33003-3000000000000003+3i3−3−3i3−3−3i323+3i32003+3i32−3−3i3200−3−3i323+3i32000000000000003−3i3−3+3i3−3+3i323−3i32003−3i32−3+3i3200−3+3i323−3i3200000000000000
χ1556-6-3303-300-33000000000000000−3−3i33+3i33+3i32−3−3i320−3−3i323+3i32003+3i32−3−3i32000000000000000−3+3i33−3i33−3i32−3+3i320−3+3i323−3i32003−3i32−3+3i32000000000000000-663-30-33003-30000000000000003+3i3−3−3i3−3−3i323+3i3203+3i32−3−3i3200−3−3i323+3i320000000000000003−3i3−3+3i3−3+3i323−3i3203−3i32−3+3i3200−3+3i323−3i32000000000000000
χ1566-6-330-303030-300000000000000−3−3i33+3i33+3i32−3−3i3203+3i320−3−3i320−3−3i3203+3i3200000000000000−3+3i33−3i33−3i32−3+3i3203−3i320−3+3i320−3+3i3203−3i3200000000000000-663-3030-30-303000000000000003+3i3−3−3i3−3−3i323+3i320−3−3i3203+3i3203+3i320−3−3i32000000000000003−3i3−3+3i3−3+3i323−3i320−3+3i3203−3i3203−3i320−3+3i3200000000000000

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