Finite Group Databasebeta

← Group #15892882

Character table — Group #15892882

Order 3328.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208
size111122222244448888888888882222444444888816161616161616161616161622224444448888161616161616161616161616222244444488881616161616161616161616162222444444888816161616161616161616161622224444448888161616161616161616161616222244444488881616161616161616161616161313131326262626262652525252104104104104104104104104104104104104
order1244222444444444448888888813265252262626525252525252525252525210410410410410410410410413265252262626525252525252525252525210410410410410410410410413265252262626525252525252525252525210410410410410410410410413265252262626525252525252525252525210410410410410410410410413265252262626525252525252525252525210410410410410410410410413265252262626525252525252525252525210410410410410410410410422442224444444444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111-1-111-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1
χ311111111111111-1-111-1-111-1-1-1-111111111111111-1-111-1-111-1-1-1-111111111111111-1-111-1-111-1-1-1-111111111111111-1-111-1-111-1-1-1-111111111111111-1-111-1-111-1-1-1-111111111111111-1-111-1-111-1-1-1-111111111111111-1-111-1-111-1-1-1-111111111111111-1-111-1-111-1-1-1-1
χ411111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-1
χ61111111111-1-1-1-111-1-1-1-111-1-1111111111111-1-1-1-111-1-1-1-111-1-1111111111111-1-1-1-111-1-1-1-111-1-1111111111111-1-1-1-111-1-1-1-111-1-1111111111111-1-1-1-111-1-1-1-111-1-1111111111111-1-1-1-111-1-1-1-111-1-1111111111111-1-1-1-111-1-1-1-111-1-1111111111111-1-1-1-111-1-1-1-111-1-111
χ71111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111
χ81111111111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-1
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χ1022222-2-22-2-2000000−2i2i0000000022222-2-22-2-2000000−2i2i0000000022222-2-22-2-2000000−2i2i0000000022222-2-22-2-2000000−2i2i0000000022222-2-22-2-2000000−2i2i0000000022222-2-22-2-2000000−2i2i0000000022222-2-22-2-2000000−2i2i0000000022222-2-22-2-2000000−2i2i00000000
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χ122222-22-2-22-20000−2i2i00000000002222-22-2-22-20000−2i2i00000000002222-22-2-22-20000−2i2i00000000002222-22-2-22-20000−2i2i00000000002222-22-2-22-20000−2i2i00000000002222-22-2-22-20000−2i2i00000000002222-22-2-22-20000−2i2i00000000002222-22-2-22-20000−2i2i0000000000
χ132222-2-22-2-220000000000002-2002222-2-22-2-220000000000002-2002222-2-22-2-220000000000002-2002222-2-22-2-220000000000002-2002222-2-22-2-220000000000002-2002222-2-22-2-220000000000002-2002222-2-22-2-220000000000002-2002222-2-22-2-220000000000002-200
χ142222-2-22-2-22000000000000-22002222-2-22-2-22000000000000-22002222-2-22-2-22000000000000-22002222-2-22-2-22000000000000-22002222-2-22-2-22000000000000-22002222-2-22-2-22000000000000-22002222-2-22-2-22000000000000-22002222-2-22-2-22000000000000-2200
χ1522-2-2222-2-2-2000000000000002i−2i22-2-2222-2-2-2000000000000002i−2i22-2-2222-2-2-2000000000000002i−2i22-2-2222-2-2-2000000000000002i−2i22-2-2222-2-2-2000000000000002i−2i22-2-2222-2-2-2000000000000002i−2i22-2-2222-2-2-2000000000000002i−2i22-2-2222-2-2-2000000000000002i−2i
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χ2222-2-2-2-2222-2-2-22200000000000022-2-2-2-2222-2-2-22200000000000022-2-2-2-2222-2-2-22200000000000022-2-2-2-2222-2-2-22200000000000022-2-2-2-2222-2-2-22200000000000022-2-2-2-2222-2-2-22200000000000022-2-2-2-2222-2-2-22200000000000022-2-2-2-2222-2-2-222000000000000
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χ244-44i−4i000000-22−2i2i0000000000004-44i−4i000000-22−2i2i0000000000004-44i−4i000000-22−2i2i0000000000004-44i−4i000000-22−2i2i0000000000004-44i−4i000000-22−2i2i0000000000004-44i−4i000000-22−2i2i0000000000004-44i−4i000000-22−2i2i0000000000004-44i−4i000000-22−2i2i000000000000
χ254-4−4i4i0000002-2−2i2i0000000000004-4−4i4i0000002-2−2i2i0000000000004-4−4i4i0000002-2−2i2i0000000000004-4−4i4i0000002-2−2i2i0000000000004-4−4i4i0000002-2−2i2i0000000000004-4−4i4i0000002-2−2i2i0000000000004-4−4i4i0000002-2−2i2i0000000000004-4−4i4i0000002-2−2i2i000000000000
χ264-4−4i4i000000-222i−2i0000000000004-4−4i4i000000-222i−2i0000000000004-4−4i4i000000-222i−2i0000000000004-4−4i4i000000-222i−2i0000000000004-4−4i4i000000-222i−2i0000000000004-4−4i4i000000-222i−2i0000000000004-4−4i4i000000-222i−2i0000000000004-4−4i4i000000-222i−2i000000000000
χ2711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ281111111111111111-1-111-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ2911111111111111-1-111-1-111-1-1-1-111111111111111-1-111-1-111-1-1-1-111111111111111-1-111-1-111-1-1-1-111111111111111-1-111-1-111-1-1-1-111111111111111-1-111-1-111-1-1-1-111111111111111-1-111-1-111-1-1-1-111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111
χ3011111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ311111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ321111111111-1-1-1-111-1-1-1-111-1-1111111111111-1-1-1-111-1-1-1-111-1-1111111111111-1-1-1-111-1-1-1-111-1-1111111111111-1-1-1-111-1-1-1-111-1-1111111111111-1-1-1-111-1-1-1-111-1-1111111111111-1-1-1-111-1-1-1-111-1-1111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1
χ331111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ341111111111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
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χ20244-4-4-44-44-440000000000−4i4i0000−2ζ2−2ζ50−2ζ2−2ζ502ζ2+2ζ502ζ2+2ζ502ζ2+2ζ50−2ζ2−2ζ502ζ2+2ζ50−2ζ2−2ζ502ζ2+2ζ50−2ζ2−2ζ5000000000002ζ11+2ζ15−2ζ11−2ζ150000−2ζ22−2ζ30−2ζ22−2ζ302ζ22+2ζ302ζ22+2ζ302ζ22+2ζ30−2ζ22−2ζ302ζ22+2ζ30−2ζ22−2ζ302ζ22+2ζ30−2ζ22−2ζ3000000000002ζ35+2ζ43−2ζ35−2ζ430000−2ζ6−2ζ46−2ζ6−2ζ462ζ6+2ζ462ζ6+2ζ462ζ6+2ζ46−2ζ6−2ζ462ζ6+2ζ46−2ζ6−2ζ462ζ6+2ζ46−2ζ6−2ζ4600000000002ζ7+2ζ19−2ζ7−2ζ190000−2ζ18−2ζ34−2ζ18−2ζ342ζ18+2ζ342ζ18+2ζ342ζ18+2ζ34−2ζ18−2ζ342ζ18+2ζ34−2ζ18−2ζ342ζ18+2ζ34−2ζ18−2ζ3400000000002ζ31+2ζ47−2ζ31−2ζ470000−2ζ10−2ζ42−2ζ10−2ζ422ζ10+2ζ422ζ10+2ζ422ζ10+2ζ42−2ζ10−2ζ422ζ10+2ζ42−2ζ10−2ζ422ζ10+2ζ42−2ζ10−2ζ4200000000002ζ3+2ζ23−2ζ3−2ζ230000−2ζ14−2ζ38−2ζ14−2ζ382ζ14+2ζ382ζ14+2ζ382ζ14+2ζ38−2ζ14−2ζ382ζ14+2ζ38−2ζ14−2ζ382ζ14+2ζ38−2ζ14−2ζ3800000000002ζ27+2ζ51−2ζ27−2ζ51000000000000000000000000000000
χ20344-4-4-4-4444-444-4-4000000000000−2ζ2−2ζ50−2ζ2−2ζ502ζ2+2ζ502ζ2+2ζ502ζ2+2ζ502ζ2+2ζ50−2ζ2−2ζ50−2ζ2−2ζ50−2ζ2−2ζ502ζ2+2ζ50−2ζ2−2ζ50−2ζ2−2ζ502ζ2+2ζ502ζ2+2ζ50000000000000−2ζ22−2ζ30−2ζ22−2ζ302ζ22+2ζ302ζ22+2ζ302ζ22+2ζ302ζ22+2ζ30−2ζ22−2ζ30−2ζ22−2ζ30−2ζ22−2ζ302ζ22+2ζ30−2ζ22−2ζ30−2ζ22−2ζ302ζ22+2ζ302ζ22+2ζ30000000000000−2ζ6−2ζ46−2ζ6−2ζ462ζ6+2ζ462ζ6+2ζ462ζ6+2ζ462ζ6+2ζ46−2ζ6−2ζ46−2ζ6−2ζ46−2ζ6−2ζ462ζ6+2ζ46−2ζ6−2ζ46−2ζ6−2ζ462ζ6+2ζ462ζ6+2ζ46000000000000−2ζ18−2ζ34−2ζ18−2ζ342ζ18+2ζ342ζ18+2ζ342ζ18+2ζ342ζ18+2ζ34−2ζ18−2ζ34−2ζ18−2ζ34−2ζ18−2ζ342ζ18+2ζ34−2ζ18−2ζ34−2ζ18−2ζ342ζ18+2ζ342ζ18+2ζ34000000000000−2ζ10−2ζ42−2ζ10−2ζ422ζ10+2ζ422ζ10+2ζ422ζ10+2ζ422ζ10+2ζ42−2ζ10−2ζ42−2ζ10−2ζ42−2ζ10−2ζ422ζ10+2ζ42−2ζ10−2ζ42−2ζ10−2ζ422ζ10+2ζ422ζ10+2ζ42000000000000−2ζ14−2ζ38−2ζ14−2ζ382ζ14+2ζ382ζ14+2ζ382ζ14+2ζ382ζ14+2ζ38−2ζ14−2ζ38−2ζ14−2ζ38−2ζ14−2ζ382ζ14+2ζ38−2ζ14−2ζ38−2ζ14−2ζ382ζ14+2ζ382ζ14+2ζ3800000000000000000000000000000000000000
χ20444-4-4-4-4444-4-4-444000000000000−2ζ2−2ζ50−2ζ2−2ζ502ζ2+2ζ502ζ2+2ζ502ζ2+2ζ502ζ2+2ζ50−2ζ2−2ζ50−2ζ2−2ζ50−2ζ2−2ζ502ζ2+2ζ502ζ2+2ζ502ζ2+2ζ50−2ζ2−2ζ50−2ζ2−2ζ50000000000000−2ζ22−2ζ30−2ζ22−2ζ302ζ22+2ζ302ζ22+2ζ302ζ22+2ζ302ζ22+2ζ30−2ζ22−2ζ30−2ζ22−2ζ30−2ζ22−2ζ302ζ22+2ζ302ζ22+2ζ302ζ22+2ζ30−2ζ22−2ζ30−2ζ22−2ζ30000000000000−2ζ6−2ζ46−2ζ6−2ζ462ζ6+2ζ462ζ6+2ζ462ζ6+2ζ462ζ6+2ζ46−2ζ6−2ζ46−2ζ6−2ζ46−2ζ6−2ζ462ζ6+2ζ462ζ6+2ζ462ζ6+2ζ46−2ζ6−2ζ46−2ζ6−2ζ46000000000000−2ζ18−2ζ34−2ζ18−2ζ342ζ18+2ζ342ζ18+2ζ342ζ18+2ζ342ζ18+2ζ34−2ζ18−2ζ34−2ζ18−2ζ34−2ζ18−2ζ342ζ18+2ζ342ζ18+2ζ342ζ18+2ζ34−2ζ18−2ζ34−2ζ18−2ζ34000000000000−2ζ10−2ζ42−2ζ10−2ζ422ζ10+2ζ422ζ10+2ζ422ζ10+2ζ422ζ10+2ζ42−2ζ10−2ζ42−2ζ10−2ζ42−2ζ10−2ζ422ζ10+2ζ422ζ10+2ζ422ζ10+2ζ42−2ζ10−2ζ42−2ζ10−2ζ42000000000000−2ζ14−2ζ38−2ζ14−2ζ382ζ14+2ζ382ζ14+2ζ382ζ14+2ζ382ζ14+2ζ38−2ζ14−2ζ38−2ζ14−2ζ38−2ζ14−2ζ382ζ14+2ζ382ζ14+2ζ382ζ14+2ζ38−2ζ14−2ζ38−2ζ14−2ζ3800000000000000000000000000000000000000
χ2058-88i−8i0000004-44i−4i000000000000−4ζ2−4ζ504ζ2+4ζ50−4ζ11−4ζ154ζ11+4ζ15000000−2ζ2−2ζ502ζ2+2ζ50−2ζ11−2ζ152ζ11+2ζ15000000000000−4ζ22−4ζ304ζ22+4ζ30−4ζ35−4ζ434ζ35+4ζ43000000−2ζ22−2ζ302ζ22+2ζ30−2ζ35−2ζ432ζ35+2ζ43000000000000−4ζ6−4ζ464ζ6+4ζ46−4ζ7−4ζ194ζ7+4ζ19000000−2ζ6−2ζ462ζ6+2ζ46−2ζ7−2ζ192ζ7+2ζ19000000000000−4ζ18−4ζ344ζ18+4ζ34−4ζ31−4ζ474ζ31+4ζ47000000−2ζ18−2ζ342ζ18+2ζ34−2ζ31−2ζ472ζ31+2ζ47000000000000−4ζ10−4ζ424ζ10+4ζ42−4ζ3−4ζ234ζ3+4ζ23000000−2ζ10−2ζ422ζ10+2ζ42−2ζ3−2ζ232ζ3+2ζ23000000000000−4ζ14−4ζ384ζ14+4ζ38−4ζ27−4ζ514ζ27+4ζ51000000−2ζ14−2ζ382ζ14+2ζ38−2ζ27−2ζ512ζ27+2ζ5100000000000000000000000000000000000000
χ2068-88i−8i000000-44−4i4i000000000000−4ζ2−4ζ504ζ2+4ζ50−4ζ11−4ζ154ζ11+4ζ150000002ζ2+2ζ50−2ζ2−2ζ502ζ11+2ζ15−2ζ11−2ζ15000000000000−4ζ22−4ζ304ζ22+4ζ30−4ζ35−4ζ434ζ35+4ζ430000002ζ22+2ζ30−2ζ22−2ζ302ζ35+2ζ43−2ζ35−2ζ43000000000000−4ζ6−4ζ464ζ6+4ζ46−4ζ7−4ζ194ζ7+4ζ190000002ζ6+2ζ46−2ζ6−2ζ462ζ7+2ζ19−2ζ7−2ζ19000000000000−4ζ18−4ζ344ζ18+4ζ34−4ζ31−4ζ474ζ31+4ζ470000002ζ18+2ζ34−2ζ18−2ζ342ζ31+2ζ47−2ζ31−2ζ47000000000000−4ζ10−4ζ424ζ10+4ζ42−4ζ3−4ζ234ζ3+4ζ230000002ζ10+2ζ42−2ζ10−2ζ422ζ3+2ζ23−2ζ3−2ζ23000000000000−4ζ14−4ζ384ζ14+4ζ38−4ζ27−4ζ514ζ27+4ζ510000002ζ14+2ζ38−2ζ14−2ζ382ζ27+2ζ51−2ζ27−2ζ5100000000000000000000000000000000000000
χ2078-8−8i8i0000004-4−4i4i000000000000−4ζ2−4ζ504ζ2+4ζ504ζ11+4ζ15−4ζ11−4ζ15000000−2ζ2−2ζ502ζ2+2ζ502ζ11+2ζ15−2ζ11−2ζ15000000000000−4ζ22−4ζ304ζ22+4ζ304ζ35+4ζ43−4ζ35−4ζ43000000−2ζ22−2ζ302ζ22+2ζ302ζ35+2ζ43−2ζ35−2ζ43000000000000−4ζ6−4ζ464ζ6+4ζ464ζ7+4ζ19−4ζ7−4ζ19000000−2ζ6−2ζ462ζ6+2ζ462ζ7+2ζ19−2ζ7−2ζ19000000000000−4ζ18−4ζ344ζ18+4ζ344ζ31+4ζ47−4ζ31−4ζ47000000−2ζ18−2ζ342ζ18+2ζ342ζ31+2ζ47−2ζ31−2ζ47000000000000−4ζ10−4ζ424ζ10+4ζ424ζ3+4ζ23−4ζ3−4ζ23000000−2ζ10−2ζ422ζ10+2ζ422ζ3+2ζ23−2ζ3−2ζ23000000000000−4ζ14−4ζ384ζ14+4ζ384ζ27+4ζ51−4ζ27−4ζ51000000−2ζ14−2ζ382ζ14+2ζ382ζ27+2ζ51−2ζ27−2ζ5100000000000000000000000000000000000000
χ2088-8−8i8i000000-444i−4i000000000000−4ζ2−4ζ504ζ2+4ζ504ζ11+4ζ15−4ζ11−4ζ150000002ζ2+2ζ50−2ζ2−2ζ50−2ζ11−2ζ152ζ11+2ζ15000000000000−4ζ22−4ζ304ζ22+4ζ304ζ35+4ζ43−4ζ35−4ζ430000002ζ22+2ζ30−2ζ22−2ζ30−2ζ35−2ζ432ζ35+2ζ43000000000000−4ζ6−4ζ464ζ6+4ζ464ζ7+4ζ19−4ζ7−4ζ190000002ζ6+2ζ46−2ζ6−2ζ46−2ζ7−2ζ192ζ7+2ζ19000000000000−4ζ18−4ζ344ζ18+4ζ344ζ31+4ζ47−4ζ31−4ζ470000002ζ18+2ζ34−2ζ18−2ζ34−2ζ31−2ζ472ζ31+2ζ47000000000000−4ζ10−4ζ424ζ10+4ζ424ζ3+4ζ23−4ζ3−4ζ230000002ζ10+2ζ42−2ζ10−2ζ42−2ζ3−2ζ232ζ3+2ζ23000000000000−4ζ14−4ζ384ζ14+4ζ384ζ27+4ζ51−4ζ27−4ζ510000002ζ14+2ζ38−2ζ14−2ζ38−2ζ27−2ζ512ζ27+2ζ5100000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 52 (ζ52 = 1); i = ζ13.