Finite Group Databasebeta

← Group #11921262

Character table — Group #11921262

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size114444611444462288881222888812331212121218331212121218114444611444462288881222888812331212121218331212121218114444611444462288881222888812331212121218331212121218114444611444462288881222888812331212121218331212121218
order12336642266664363366126666661244121212124441212121244412121212444121212124121212121212121212121212121244121212124441212121242266664226666466666612666666124412121212444121212124441212121244412121212412121212121212121212121212124412121212444121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321
χ311−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321
χ42-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-1110
χ52-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320
χ62-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320
χ7330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ911−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1
χ1011−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1
χ112-2-1-11102-2-1-11102-2-1-11102-2-1-1110-2211-1-10-2211-1-102-2-1-11102-2-1-11102-2-1-11102-2-1-1110-2211-1-10-2211-1-102-2-1-11102-2-1-11102-2-1-11102-2-1-1110-2211-1-10-2211-1-102-2-1-11102-2-1-11102-2-1-11102-2-1-1110-2211-1-10-2211-1-10
χ122-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i320-22−1+i32−1−i321−i321+i320
χ132-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i320
χ14330000-1330000-1330000-1330000-1-3-300001-3-300001330000-1330000-1330000-1330000-1-3-300001-3-300001330000-1330000-1330000-1330000-1-3-300001-3-300001330000-1330000-1330000-1330000-1-3-300001-3-300001
χ151111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1iiiiiii−i−i−i−i−i−i−i1111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1iiiiiii−i−i−i−i−i−i−i1111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1iiiiiii−i−i−i−i−i−i−i1111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1iiiiiii−i−i−i−i−i−i−i
χ1611−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1iiζ7ζ11ζ7ζ11i−i−i−ζ7−ζ11−ζ7−ζ11−i11−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1iiζ7ζ11ζ7ζ11i−i−i−ζ7−ζ11−ζ7−ζ11−i11−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1iiζ7ζ11ζ7ζ11i−i−i−ζ7−ζ11−ζ7−ζ11−i11−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1iiζ7ζ11ζ7ζ11i−i−i−ζ7−ζ11−ζ7−ζ11−i
χ1711−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1iiζ11ζ7ζ11ζ7i−i−i−ζ11−ζ7−ζ11−ζ7−i11−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1iiζ11ζ7ζ11ζ7i−i−i−ζ11−ζ7−ζ11−ζ7−i11−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1iiζ11ζ7ζ11ζ7i−i−i−ζ11−ζ7−ζ11−ζ7−i11−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1iiζ11ζ7ζ11ζ7i−i−i−ζ11−ζ7−ζ11−ζ7−i
χ182-2-1-1110-2211-1-102-2-1-1110-2211-1-102i−2i−i−iii0−2i2iii−i−i02-2-1-1110-2211-1-102-2-1-1110-2211-1-102i−2i−i−iii0−2i2iii−i−i02-2-1-1110-2211-1-102-2-1-1110-2211-1-102i−2i−i−iii0−2i2iii−i−i02-2-1-1110-2211-1-102-2-1-1110-2211-1-102i−2i−i−iii0−2i2iii−i−i0
χ192-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i3202i−2i−ζ7−ζ11ζ7ζ110−2i2iζ7ζ11−ζ7−ζ1102-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i3202i−2i−ζ7−ζ11ζ7ζ110−2i2iζ7ζ11−ζ7−ζ1102-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i3202i−2i−ζ7−ζ11ζ7ζ110−2i2iζ7ζ11−ζ7−ζ1102-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i3202i−2i−ζ7−ζ11ζ7ζ110−2i2iζ7ζ11−ζ7−ζ110
χ202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i3202i−2i−ζ11−ζ7ζ11ζ70−2i2iζ11ζ7−ζ11−ζ702-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i3202i−2i−ζ11−ζ7ζ11ζ70−2i2iζ11ζ7−ζ11−ζ702-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i3202i−2i−ζ11−ζ7ζ11ζ70−2i2iζ11ζ7−ζ11−ζ702-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i3202i−2i−ζ11−ζ7ζ11ζ70−2i2iζ11ζ7−ζ11−ζ70
χ21330000-1-3-300001330000-1-3-3000013i3i0000−i−3i−3i0000i330000-1-3-300001330000-1-3-3000013i3i0000−i−3i−3i0000i330000-1-3-300001330000-1-3-3000013i3i0000−i−3i−3i0000i330000-1-3-300001330000-1-3-3000013i3i0000−i−3i−3i0000i
χ221111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1−i−i−i−i−i−i−iiiiiiii1111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1−i−i−i−i−i−i−iiiiiiii1111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1−i−i−i−i−i−i−iiiiiiii1111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1−i−i−i−i−i−i−iiiiiiii
χ2311−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1−i−i−ζ7−ζ11−ζ7−ζ11−iiiζ7ζ11ζ7ζ11i11−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1−i−i−ζ7−ζ11−ζ7−ζ11−iiiζ7ζ11ζ7ζ11i11−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1−i−i−ζ7−ζ11−ζ7−ζ11−iiiζ7ζ11ζ7ζ11i11−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1−i−i−ζ7−ζ11−ζ7−ζ11−iiiζ7ζ11ζ7ζ11i
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χ2922222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000022222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000022222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000022222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
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χ3122−1−i3−1+i3−1−i3−1+i3222−1−i3−1+i3−1−i3−1+i32-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-10000000000000022−1−i3−1+i3−1−i3−1+i3222−1−i3−1+i3−1−i3−1+i32-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-10000000000000022−1−i3−1+i3−1−i3−1+i3222−1−i3−1+i3−1−i3−1+i32-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-10000000000000022−1−i3−1+i3−1−i3−1+i3222−1−i3−1+i3−1−i3−1+i32-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-100000000000000
χ324-4-2-22204-4-2-2220-2211-1-10-2211-1-10000000000000004-4-2-22204-4-2-2220-2211-1-10-2211-1-10000000000000004-4-2-22204-4-2-2220-2211-1-10-2211-1-10000000000000004-4-2-22204-4-2-2220-2211-1-10-2211-1-1000000000000000
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χ344-41+i31−i3−1−i3−1+i304-41+i31−i3−1−i3−1+i30-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i320000000000000004-41+i31−i3−1−i3−1+i304-41+i31−i3−1−i3−1+i30-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i320000000000000004-41+i31−i3−1−i3−1+i304-41+i31−i3−1−i3−1+i30-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i320000000000000004-41+i31−i3−1−i3−1+i304-41+i31−i3−1−i3−1+i30-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i32000000000000000
χ35660000-2660000-2-3-300001-3-30000100000000000000660000-2660000-2-3-300001-3-30000100000000000000660000-2660000-2-3-300001-3-30000100000000000000660000-2660000-2-3-300001-3-30000100000000000000
χ362222222-2-2-2-2-2-2-2-1-1-1-1-1-1-11111111000000000000002222222-2-2-2-2-2-2-2-1-1-1-1-1-1-11111111000000000000002222222-2-2-2-2-2-2-2-1-1-1-1-1-1-11111111000000000000002222222-2-2-2-2-2-2-2-1-1-1-1-1-1-1111111100000000000000
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χ414-41+i31−i3−1−i3−1+i30-44−1−i3−1+i31+i31−i30-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i320000000000000004-41+i31−i3−1−i3−1+i30-44−1−i3−1+i31+i31−i30-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i320000000000000004-41+i31−i3−1−i3−1+i30-44−1−i3−1+i31+i31−i30-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i320000000000000004-41+i31−i3−1−i3−1+i30-44−1−i3−1+i31+i31−i30-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i32000000000000000
χ42660000-2-6-600002-3-300001330000-100000000000000660000-2-6-600002-3-300001330000-100000000000000660000-2-6-600002-3-300001330000-100000000000000660000-2-6-600002-3-300001330000-100000000000000
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χ952-2-1-11102-2-1-11102-2-1-11102-2-1-1110-2211-1-10-2211-1-10-2211-1-10-2211-1-10-2211-1-10-2211-1-102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-1110-2211-1-10-2211-1-10-2211-1-10-2211-1-10-2211-1-10-2211-1-102-2-1-11102-2-1-1110
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χ98330000-1330000-1330000-1330000-1-3-300001-3-300001-3-300001-3-300001-3-300001-3-300001330000-1330000-1330000-1330000-1330000-1330000-1-3-300001-3-300001-3-300001-3-300001-3-300001-3-300001330000-1330000-1
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χ1061111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1−i−i−i−i−i−i−iiiiiiii-1-1-1-1-1-1-11111111-1-1-1-1-1-1-11111111iiiiiii−i−i−i−i−i−i−i1111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1−i−i−i−i−i−i−iiiiiiii-1-1-1-1-1-1-11111111-1-1-1-1-1-1-11111111iiiiiii−i−i−i−i−i−i−i
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χ1102-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i320−2i2iζ7ζ11−ζ7−ζ1102i−2i−ζ7−ζ11ζ7ζ110-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i3202i−2i−ζ7−ζ11ζ7ζ110−2i2iζ7ζ11−ζ7−ζ1102-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i320−2i2iζ7ζ11−ζ7−ζ1102i−2i−ζ7−ζ11ζ7ζ110-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i3202i−2i−ζ7−ζ11ζ7ζ110−2i2iζ7ζ11−ζ7−ζ110
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χ112330000-1-3-300001330000-1-3-300001−3i−3i0000i3i3i0000−i-3-300001330000-1-3-300001330000-13i3i0000−i−3i−3i0000i330000-1-3-300001330000-1-3-300001−3i−3i0000i3i3i0000−i-3-300001330000-1-3-300001330000-13i3i0000−i−3i−3i0000i
χ11322222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111110000000000000022222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111111100000000000000
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χ11522−1−i3−1+i3−1−i3−1+i3222−1−i3−1+i3−1−i3−1+i32-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-100000000000000-2-21+i31−i31+i31−i3-2-2-21+i31−i31+i31−i3-211−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i3210000000000000022−1−i3−1+i3−1−i3−1+i3222−1−i3−1+i3−1−i3−1+i32-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-100000000000000-2-21+i31−i31+i31−i3-2-2-21+i31−i31+i31−i3-211−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32100000000000000
χ1164-4-2-22204-4-2-2220-2211-1-10-2211-1-1000000000000000-4422-2-20-4422-2-202-2-1-11102-2-1-1110000000000000004-4-2-22204-4-2-2220-2211-1-10-2211-1-1000000000000000-4422-2-20-4422-2-202-2-1-11102-2-1-111000000000000000
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χ154330000-1-3-300001330000-1-3-300001−3i−3i0000i3i3i0000−i−3i−3i0000i3i3i0000−i−3i−3i0000i3i3i0000−i-3-300001330000-1-3-300001330000-1-3-300001330000-13i3i0000−i−3i−3i0000i3i3i0000−i−3i−3i0000i3i3i0000−i−3i−3i0000i330000-1-3-300001
χ15522222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2iiiiiiiiiiiiiii00000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111000000000000002i2i2i2i2i2i2i2i2i2i2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−i−i00000000000000
χ15622−1+i3−1−i3−1+i3−1−i3222−1+i3−1−i3−1+i3−1−i32-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-100000000000000−2i−2i−2ζ7−2ζ11−2ζ7−2ζ11−2i−2i−2i−2ζ7−2ζ11−2ζ7−2ζ11−2iiiζ7ζ11ζ7ζ11iiiζ7ζ11ζ7ζ11i00000000000000-2-21−i31+i31−i31+i3-2-2-21−i31+i31−i31+i3-211−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321000000000000002i2i2ζ72ζ112ζ72ζ112i2i2i2ζ72ζ112ζ72ζ112i−i−i−ζ7−ζ11−ζ7−ζ11−i−i−i−ζ7−ζ11−ζ7−ζ11−i00000000000000
χ15722−1−i3−1+i3−1−i3−1+i3222−1−i3−1+i3−1−i3−1+i32-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-100000000000000−2i−2i−2ζ11−2ζ7−2ζ11−2ζ7−2i−2i−2i−2ζ11−2ζ7−2ζ11−2ζ7−2iiiζ11ζ7ζ11ζ7iiiζ11ζ7ζ11ζ7i00000000000000-2-21+i31−i31+i31−i3-2-2-21+i31−i31+i31−i3-211−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321000000000000002i2i2ζ112ζ72ζ112ζ72i2i2i2ζ112ζ72ζ112ζ72i−i−i−ζ11−ζ7−ζ11−ζ7−i−i−i−ζ11−ζ7−ζ11−ζ7−i00000000000000
χ1584-4-2-22204-4-2-2220-2211-1-10-2211-1-1000000000000000−4i4i2i2i−2i−2i0−4i4i2i2i−2i−2i02i−2i−i−iii02i−2i−i−iii000000000000000-4422-2-20-4422-2-202-2-1-11102-2-1-1110000000000000004i−4i−2i−2i2i2i04i−4i−2i−2i2i2i0−2i2iii−i−i0−2i2iii−i−i000000000000000
χ1594-41−i31+i3−1+i3−1−i304-41−i31+i3−1+i3−1−i30-22−1+i32−1−i321−i321+i320-22−1+i32−1−i321−i321+i32000000000000000−4i4i2ζ72ζ11−2ζ7−2ζ110−4i4i2ζ72ζ11−2ζ7−2ζ1102i−2i−ζ7−ζ11ζ7ζ1102i−2i−ζ7−ζ11ζ7ζ11000000000000000-44−1+i3−1−i31−i31+i30-44−1+i3−1−i31−i31+i302-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320000000000000004i−4i−2ζ7−2ζ112ζ72ζ1104i−4i−2ζ7−2ζ112ζ72ζ110−2i2iζ7ζ11−ζ7−ζ110−2i2iζ7ζ11−ζ7−ζ11000000000000000
χ1604-41+i31−i3−1−i3−1+i304-41+i31−i3−1−i3−1+i30-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i32000000000000000−4i4i2ζ112ζ7−2ζ11−2ζ70−4i4i2ζ112ζ7−2ζ11−2ζ702i−2i−ζ11−ζ7ζ11ζ702i−2i−ζ11−ζ7ζ11ζ7000000000000000-44−1−i3−1+i31+i31−i30-44−1−i3−1+i31+i31−i302-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320000000000000004i−4i−2ζ11−2ζ72ζ112ζ704i−4i−2ζ11−2ζ72ζ112ζ70−2i2iζ11ζ7−ζ11−ζ70−2i2iζ11ζ7−ζ11−ζ7000000000000000
χ161660000-2660000-2-3-300001-3-30000100000000000000−6i−6i00002i−6i−6i00002i3i3i0000−i3i3i0000−i00000000000000-6-600002-6-600002330000-1330000-1000000000000006i6i0000−2i6i6i0000−2i−3i−3i0000i−3i−3i0000i00000000000000
χ1622222222-2-2-2-2-2-2-2-1-1-1-1-1-1-1111111100000000000000−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2iiiiiiii−i−i−i−i−i−i−i00000000000000-2-2-2-2-2-2-222222221111111-1-1-1-1-1-1-1000000000000002i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−i−i−i−i−i−i−iiiiiiii00000000000000
χ16322−1+i3−1−i3−1+i3−1−i32-2-21−i31+i31−i31+i3-2-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i32100000000000000−2i−2i−2ζ7−2ζ11−2ζ7−2ζ11−2i2i2i2ζ72ζ112ζ72ζ112iiiζ7ζ11ζ7ζ11i−i−i−ζ7−ζ11−ζ7−ζ11−i00000000000000-2-21−i31+i31−i31+i3-222−1+i3−1−i3−1+i3−1−i3211−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1000000000000002i2i2ζ72ζ112ζ72ζ112i−2i−2i−2ζ7−2ζ11−2ζ7−2ζ11−2i−i−i−ζ7−ζ11−ζ7−ζ11−iiiζ7ζ11ζ7ζ11i00000000000000
χ16422−1−i3−1+i3−1−i3−1+i32-2-21+i31−i31+i31−i3-2-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i32100000000000000−2i−2i−2ζ11−2ζ7−2ζ11−2ζ7−2i2i2i2ζ112ζ72ζ112ζ72iiiζ11ζ7ζ11ζ7i−i−i−ζ11−ζ7−ζ11−ζ7−i00000000000000-2-21+i31−i31+i31−i3-222−1−i3−1+i3−1−i3−1+i3211−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1000000000000002i2i2ζ112ζ72ζ112ζ72i−2i−2i−2ζ11−2ζ7−2ζ11−2ζ7−2i−i−i−ζ11−ζ7−ζ11−ζ7−iiiζ11ζ7ζ11ζ7i00000000000000
χ1654-4-2-2220-4422-2-20-2211-1-102-2-1-111000000000000000−4i4i2i2i−2i−2i04i−4i−2i−2i2i2i02i−2i−i−iii0−2i2iii−i−i000000000000000-4422-2-204-4-2-22202-2-1-1110-2211-1-10000000000000004i−4i−2i−2i2i2i0−4i4i2i2i−2i−2i0−2i2iii−i−i02i−2i−i−iii000000000000000
χ1664-41−i31+i3−1+i3−1−i30-44−1+i3−1−i31−i31+i30-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i32000000000000000−4i4i2ζ72ζ11−2ζ7−2ζ1104i−4i−2ζ7−2ζ112ζ72ζ1102i−2i−ζ7−ζ11ζ7ζ110−2i2iζ7ζ11−ζ7−ζ11000000000000000-44−1+i3−1−i31−i31+i304-41−i31+i3−1+i3−1−i302-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i320000000000000004i−4i−2ζ7−2ζ112ζ72ζ110−4i4i2ζ72ζ11−2ζ7−2ζ110−2i2iζ7ζ11−ζ7−ζ1102i−2i−ζ7−ζ11ζ7ζ11000000000000000
χ1674-41+i31−i3−1−i3−1+i30-44−1−i3−1+i31+i31−i30-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i32000000000000000−4i4i2ζ112ζ7−2ζ11−2ζ704i−4i−2ζ11−2ζ72ζ112ζ702i−2i−ζ11−ζ7ζ11ζ70−2i2iζ11ζ7−ζ11−ζ7000000000000000-44−1−i3−1+i31+i31−i304-41+i31−i3−1−i3−1+i302-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i320000000000000004i−4i−2ζ11−2ζ72ζ112ζ70−4i4i2ζ112ζ7−2ζ11−2ζ70−2i2iζ11ζ7−ζ11−ζ702i−2i−ζ11−ζ7ζ11ζ7000000000000000
χ168660000-2-6-600002-3-300001330000-100000000000000−6i−6i00002i6i6i0000−2i3i3i0000−i−3i−3i0000i00000000000000-6-600002660000-2330000-1-3-300001000000000000006i6i0000−2i−6i−6i00002i−3i−3i0000i3i3i0000−i00000000000000

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