Finite Group Databasebeta

← Group #14513650

Character table — Group #14513650

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130
size111122222222222222222233336666666666666666666666666688881010101012121212121212121212121212121212121212121212121212121212121212121212121216161616161616161616161616161616161630303030606060606060606080808080
order12222255101010101010101010101010101022222244444444101010101010101010101010101010103666444444442020202020202020202020202020202020202020202020202020202020202020661515303030303030303030303030303044442244444412121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111111111-1-1-1-1
χ51111-1-1111111-1-1-1-1-1-1-1-1111111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1
χ61111-1-1111111-1-1-1-1-1-1-1-1111111-1-111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ71111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1
χ81111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ91-11-11-11111-1-11111-1-1-1-1-1-1-1-1111-1ii−i−iii−i−i1111-1-11111-1-1-1-1-1-111-1-1i−ii−ii−ii−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1-11111-1-1-1-11111-1-1-1-1i−ii−i1-11-11-11-1i−ii−i
χ101-11-11-11111-1-11111-1-1-1-1-1-1-1-1111-1ii−i−iii−i−i1111-1-11111-1-1-1-1-1-111-1-1−ii−iii−ii−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1-11111-1-1-1-11111-1-1-1-1−ii−ii-11-11-11-11−ii−ii
χ111-11-11-11111-1-11111-1-1-1-1-1-1-1-1111-1−i−iii−i−iii1111-1-11111-1-1-1-1-1-111-1-1i−ii−i−ii−ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1-11111-1-1-1-11111-1-1-1-1i−ii−i-11-11-11-11i−ii−i
χ121-11-11-11111-1-11111-1-1-1-1-1-1-1-1111-1−i−iii−i−iii1111-1-11111-1-1-1-1-1-111-1-1−ii−ii−ii−ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1-11111-1-1-1-11111-1-1-1-1−ii−ii1-11-11-11-1−ii−ii
χ131-11-1-111111-1-1-1-1-1-11111-1-1-1-111-11ii−i−iii−i−i1111-1-1-1-1-1-11111-1-111-1-1i−i−ii−ii−iiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-111111-1-1-1-1-1-1-1-11111i−i−ii-111-11-1-11i−i−ii
χ141-11-1-111111-1-1-1-1-1-11111-1-1-1-111-11ii−i−iii−i−i1111-1-1-1-1-1-11111-1-111-1-1−iii−i−ii−iiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-111111-1-1-1-1-1-1-1-11111−iii−i1-1-11-111-1−iii−i
χ151-11-1-111111-1-1-1-1-1-11111-1-1-1-111-11−i−iii−i−iii1111-1-1-1-1-1-11111-1-111-1-1i−i−iii−ii−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-111111-1-1-1-1-1-1-1-11111i−i−ii1-1-11-111-1i−i−ii
χ161-11-1-111111-1-1-1-1-1-11111-1-1-1-111-11−i−iii−i−iii1111-1-1-1-1-1-11111-1-111-1-1−iii−ii−ii−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-111111-1-1-1-1-1-1-1-11111−iii−i-111-11-1-11−iii−i
χ172222222222222222222222222222000000002222222222222222-1-1-1-12222000000000000000000000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200000000-1-1-1-1
χ182222222222222222222222222222000000002222222222222222-1-1-1-1-2-2-2-2000000000000000000000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000001111
χ19222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222200002222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ20222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222220000-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ21222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222222222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222200002222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ22222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222220000-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ232222-2-2222222-2-2-2-2-2-2-2-2222222-2-200000000222222-2-2-2-2-2-2-2-222-1-1-1-122-2-200000000000000000000000000000000000011-1-1-1-1-1-1-1-11111111122-2-200000000-1-111
χ242222-2-2222222-2-2-2-2-2-2-2-2222222-2-200000000222222-2-2-2-2-2-2-2-222-1-1-1-1-2-22200000000000000000000000000000000000011-1-1-1-1-1-1-1-111111111-2-2220000000011-1-1
χ252222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−522222-2-222222222−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−5222220000-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000
χ262222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−522222-2-2-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−522222000022221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000
χ272222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+522222-2-222222222−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+5222220000-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000
χ282222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+522222-2-2-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+522222000022221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000
χ2922-2-20022-2-22200000000-2-22-22-2002i−2i2i−2i2i−2i2i−2i2-22-22200000000-2-22-22-2000000002i−2i2i−2i2i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i000000000022-2-22-22-2000000000000000000000000
χ3022-2-20022-2-22200000000-2-22-22-200−2i2i−2i2i−2i2i−2i2i2-22-22200000000-2-22-22-200000000−2i2i−2i2i−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i000000000022-2-22-22-2000000000000000000000000
χ3122-2-200−1+52−1−521−521+52−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−521+522-22-2002i−2i2i−2i2i−2i2i−2i−1+521−52−1−521+52−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−521+522-22-200000000−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700−1+52−1−521−521+52−1+521−52−1−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000000000000000
χ3222-2-200−1+52−1−521−521+52−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−521+522-22-200−2i2i−2i2i−2i2i−2i2i−1+521−52−1−521+52−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−521+522-22-200000000ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700−1+52−1−521−521+52−1+521−52−1−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000000000000000
χ3322-2-200−1+52−1−521−521+52−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−521+522-22-2002i−2i2i−2i2i−2i2i−2i−1+521−52−1−521+52−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−521+522-22-200000000−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700−1+52−1−521−521+52−1+521−52−1−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000000000000000
χ3422-2-200−1+52−1−521−521+52−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−521+522-22-200−2i2i−2i2i−2i2i−2i2i−1+521−52−1−521+52−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−521+522-22-200000000ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700−1+52−1−521−521+52−1+521−52−1−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000000000000000
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χ1276-6-6600−3−352−3+3523+3523−3523+3523−352−3ζ2+3ζ183ζ2−3ζ18−3ζ6+3ζ143ζ6−3ζ143ζ2−3ζ18−3ζ2+3ζ183ζ6−3ζ14−3ζ6+3ζ14−3−352−3+3522-2-22002-2-22-222-21+52−1−521−52−1+52−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ141+521−52000000000000−1−521+52−1+521−521+52−1−521−52−1+52ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ141+52−1−521−52−1+52−1−521+52−1+521−52−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ140000000000000000000000000000000000
χ1286-6-6600−3−352−3+3523+3523−3523+3523−352−3ζ2+3ζ183ζ2−3ζ18−3ζ6+3ζ143ζ6−3ζ143ζ2−3ζ18−3ζ2+3ζ183ζ6−3ζ14−3ζ6+3ζ14−3−352−3+3522-2-2200-222-22-2-221+52−1−521−52−1+52−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ141+521−520000000000001+52−1−521−52−1+52−1−521+52−1+521−52−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14−1−521+52−1+521−521+52−1−521−52−1+52ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ140000000000000000000000000000000000
χ1296-6-6600−3−352−3+3523+3523−3523+3523−3523ζ2−3ζ18−3ζ2+3ζ183ζ6−3ζ14−3ζ6+3ζ14−3ζ2+3ζ183ζ2−3ζ18−3ζ6+3ζ143ζ6−3ζ14−3−352−3+3522-2-22002-2-22-222-21+52−1−521−52−1+52−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ141+521−52000000000000−1−521+52−1+521−521+52−1−521−52−1+52−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ141+52−1−521−52−1+52−1−521+52−1+521−52ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ140000000000000000000000000000000000
χ1306-6-6600−3−352−3+3523+3523−3523+3523−3523ζ2−3ζ18−3ζ2+3ζ183ζ6−3ζ14−3ζ6+3ζ14−3ζ2+3ζ183ζ2−3ζ18−3ζ6+3ζ143ζ6−3ζ14−3−352−3+3522-2-2200-222-22-2-221+52−1−521−52−1+52−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ141+521−520000000000001+52−1−521−52−1+52−1−521+52−1+521−52ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−1−521+52−1+521−521+52−1−521−52−1+52−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ140000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.