Finite Group Databasebeta

← Group #13100746

Character table — Group #13100746

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size1111222222222222222222444444444444444444444444888888888888888888888888888888888202020202020202020202020202020202020202040404040404040404040100100200
order12224455551010101010101010101010105555101010101010101010101010202020202020202042020202020202020202020202020202020202020202020202020202020202020888840404040404040404040404040404040442020202020202020242
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111111111-111111-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-11
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-1-11111-1-11
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1
χ922222222−1+52−1−5222−1+52−1−5222−1+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+52−1−52−1−5222−1+52−1−5222−1+52−1−522−1+52−1+52−1−52−1−522222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52002200000000−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5202−1+52−1+52−1−52−1−520000000
χ1022222222−1+52−1−5222−1+52−1−5222−1+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+52−1−52−1−5222−1+52−1−5222−1+52−1−522−1+52−1+52−1−52−1−522222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200-2-2000000001−521−521−521−521+521+521+521+520-21−521−521+521+520000000
χ1122222222−1+52−1−5222−1+52−1−5222−1+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+52−1−52−1−5222−1+52−1−5222−1+52−1−52-21−521−521+521+52-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52002200000000−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520-21−521−521+521+520000000
χ1222222222−1+52−1−5222−1+52−1−5222−1+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+52−1−52−1−5222−1+52−1−5222−1+52−1−52-21−521−521+521+52-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+5200-2-2000000001−521−521−521−521+521+521+521+5202−1+52−1+52−1−52−1−520000000
χ1322222222−1−52−1+5222−1−52−1+5222−1−52−1+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+5222−1−52−1+5222−1−52−1+522−1−52−1−52−1+52−1+522222−1−52−1−52−1−52−1−52−1+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+52002200000000−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5202−1−52−1−52−1+52−1+520000000
χ1422222222−1−52−1+5222−1−52−1+5222−1−52−1+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+5222−1−52−1+5222−1−52−1+522−1−52−1−52−1+52−1+522222−1−52−1−52−1−52−1−52−1+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+5200-2-2000000001+521+521+521+521−521−521−521−520-21+521+521−521−520000000
χ1522222222−1−52−1+5222−1−52−1+5222−1−52−1+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+5222−1−52−1+5222−1−52−1+52-21+521+521−521−52-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52002200000000−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520-21+521+521−521−520000000
χ1622222222−1−52−1+5222−1−52−1+5222−1−52−1+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+5222−1−52−1+5222−1−52−1+52-21+521+521−521−52-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−5200-2-2000000001+521+521+521+521−521−521−521−5202−1−52−1−52−1+52−1+520000000
χ17222222−1+52−1−5222−1+52−1−5222−1+52−1−522222−1+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+52−1−522222222−1+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+52−1−52−1−52−1−52−1−522200−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000200000−1+52−1+52−1−52−1−52000
χ18222222−1+52−1−5222−1+52−1−5222−1+52−1−522222−1+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+52−1−522222222−1+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+52−1−52−1−52−1−52−1−52-2-2001−521−521−521−521+521+521+521+5200000000-2000001−521−521+521+52000
χ19222222−1+52−1−5222−1+52−1−5222−1+52−1−522222−1+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+52−1−5222-2-2-2-2-21−521−521+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+521−521−521−521−521+521+521+521+522200−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000-2000001−521−521+521+52000
χ20222222−1+52−1−5222−1+52−1−5222−1+52−1−522222−1+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+52−1−5222-2-2-2-2-21−521−521+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+521−521−521−521−521+521+521+521+52-2-2001−521−521−521−521+521+521+521+5200000000200000−1+52−1+52−1−52−1−52000
χ21222222−1−52−1+5222−1−52−1+5222−1−52−1+522222−1−52−1+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+522222222−1−52−1−52−1+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+522200−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000200000−1−52−1−52−1+52−1+52000
χ22222222−1−52−1+5222−1−52−1+5222−1−52−1+522222−1−52−1+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+522222222−1−52−1−52−1+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+52-2-2001+521+521+521+521−521−521−521−5200000000-2000001+521+521−521−52000
χ23222222−1−52−1+5222−1−52−1+5222−1−52−1+522222−1−52−1+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+5222-2-2-2-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−522200−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000-2000001+521+521−521−52000
χ24222222−1−52−1+5222−1−52−1+5222−1−52−1+522222−1−52−1+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+5222-2-2-2-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2001+521+521+521+521−521−521−521−5200000000200000−1−52−1−52−1+52−1+52000
χ252222-2-222222222222222222222222222222222-2-2-2-2-2-2-2-2000000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000002-20
χ262222-2-222222222222222222222222222222222-2-2-2-2-2-2-2-2000000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000-220
χ272-2-222-22222-2-2-2-222-2-222-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-20000000002-22-22-22-20000000000000000002i−2i000000002i2i−2i−2i2i2i−2i−2i0000000000000
χ282-2-222-22222-2-2-2-222-2-222-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-20000000002-22-22-22-2000000000000000000−2i2i00000000−2i−2i2i2i−2i−2i2i2i0000000000000
χ292-2-222-222−1+52−1−52-2-21−521+52221−521+52−1+52−1−52-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5222−1+52−1−52-2-21−521+520−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ140000−1+521−52−1+521−52−1−521+52−1−521+52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14002i−2i00000000−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ1400ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000
χ302-2-222-222−1+52−1−52-2-21−521+52221−521+52−1+52−1−52-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5222−1+52−1−52-2-21−521+520−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ140000−1+521−52−1+521−52−1−521+52−1−521+52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ1400−2i2i00000000ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ1400−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000
χ312-2-222-222−1+52−1−52-2-21−521+52221−521+52−1+52−1−52-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5222−1+52−1−52-2-21−521+520ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ140000−1+521−52−1+521−52−1−521+52−1−521+52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14002i−2i00000000−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ1400−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000
χ322-2-222-222−1+52−1−52-2-21−521+52221−521+52−1+52−1−52-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5222−1+52−1−52-2-21−521+520ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ140000−1+521−52−1+521−52−1−521+52−1−521+52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ1400−2i2i00000000ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ1400ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000
χ332-2-222-222−1−52−1+52-2-21+521−52221+521−52−1−52−1+52-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5222−1−52−1+52-2-21+521−520ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ380000−1−521+52−1−521+52−1+521−52−1+521−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38002i−2i00000000−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ3800ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000
χ342-2-222-222−1−52−1+52-2-21+521−52221+521−52−1−52−1+52-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5222−1−52−1+52-2-21+521−520ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ380000−1−521+52−1−521+52−1+521−52−1+521−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ3800−2i2i00000000ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ3800−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000
χ352-2-222-222−1−52−1+52-2-21+521−52221+521−52−1−52−1+52-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5222−1−52−1+52-2-21+521−520−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ380000−1−521+52−1−521+52−1+521−52−1+521−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38002i−2i00000000−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ3800−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000
χ362-2-222-222−1−52−1+52-2-21+521−52221+521−52−1−52−1+52-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5222−1−52−1+52-2-21+521−520−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ380000−1−521+52−1−521+52−1+521−52−1+521−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ3800−2i2i00000000ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ3800ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000
χ372-2-22-222222-2-2-2-222-2-222-2-22222-2-2-2-22222-2-2-2-2-2-2-2-22222000000000-22-22-22-2200000000000000002-20022-2-222-2-2000000000000000000000
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χ774-44-40044−1+5−1−5-4-41−51+5-4-4−1+5−1−51−51+544−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+5−1+5−1+5−1−5−1−500000000000000000000000000000000000000000000000000000ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ390000000000000
χ784-44-40044−1+5−1−5-4-41−51+5-4-4−1+5−1−51−51+544−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+5−1+5−1+5−1−5−1−500000000000000000000000000000000000000000000000000000−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ390000000000000
χ794-44-40044−1−5−1+5-4-41+51−5-4-4−1−5−1+51+51−544−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+500000000000000000000000000000000000000000000000000000−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ370000000000000
χ804-44-40044−1−5−1+5-4-41+51−5-4-4−1−5−1+51+51−544−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+500000000000000000000000000000000000000000000000000000ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ370000000000000
χ814-44-400−1+5−1−5441−51+5-4-41−51+544-4-4−1+5−1−5−1+5−1−5−1+5−1−51−51+51−51+51−51+51−51+5−1+5−1−5−1+5−1−5000000000000000000000000000000000000000000000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39000000000000000000000
χ824-44-400−1+5−1−5441−51+5-4-41−51+544-4-4−1+5−1−5−1+5−1−5−1+5−1−51−51+51−51+51−51+51−51+5−1+5−1−5−1+5−1−5000000000000000000000000000000000000000000000ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39000000000000000000000
χ834-44-400−1−5−1+5441+51−5-4-41+51−544-4-4−1−5−1+5−1−5−1+5−1−5−1+51+51−51+51−51+51−51+51−5−1−5−1+5−1−5−1+5000000000000000000000000000000000000000000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37000000000000000000000
χ844-44-400−1−5−1+5441+51−5-4-41+51−544-4-4−1−5−1+5−1−5−1+5−1−5−1+51+51−51+51−51+51−51+51−5−1−5−1+5−1−5−1+5000000000000000000000000000000000000000000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37000000000000000000000
χ854-4-444-4−1+5−1−5441−51+5-4-4−1+5−1−5-4-4441−51+5−1+5−1−5−1+5−1−51−51+51−51+5−1+5−1−5−1+5−1−51−51+51−51+5−1+5−1−5441−51+5-4-4000000000−1+51−5−1−51+5−1+51−5−1−51+50000000000000000000000000000000000000000000000000
χ864-4-444-4−1+5−1−5−1+5−1−51−51+51−51+5−1+5−1−51−51+5−1+5−1−51−51+53−52-1-13+52−3+5211−3−523−52-1-13+52−3+5211−3−52−1+5−1−5−1+5−1−51−51+51−51+50−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ1400003−52−3+52-11-113+52−3−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38000000000000000000000000000000000
χ874-4-444-4−1+5−1−5−1+5−1−51−51+51−51+5−1+5−1−51−51+5−1+5−1−51−51+53−52-1-13+52−3+5211−3−523−52-1-13+52−3+5211−3−52−1+5−1−5−1+5−1−51−51+51−51+502ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ1400003−52−3+52-11-113+52−3−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38000000000000000000000000000000000
χ884-4-444-4−1+5−1−5−1−5−1+51−51+51+51−5−1+5−1−51+51−5−1−5−1+51−51+5-13+523−52-11−3−52−3+521-13+523−52-11−3−52−3+521−1+5−1−5−1−5−1+51−51+51+51−502ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ380000-113+52−3−523−52−3+52-11−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38000000000000000000000000000000000
χ894-4-444-4−1+5−1−5−1−5−1+51−51+51+51−5−1+5−1−51+51−5−1−5−1+51−51+5-13+523−52-11−3−52−3+521-13+523−52-11−3−52−3+521−1+5−1−5−1−5−1+51−51+51+51−50−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ380000-113+52−3−523−52−3+52-11ζ6−ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38000000000000000000000000000000000
χ904-4-444-4−1−5−1+5441+51−5-4-4−1−5−1+5-4-4441+51−5−1−5−1+5−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+51+51−51+51−5−1−5−1+5441+51−5-4-4000000000−1−51+5−1+51−5−1−51+5−1+51−50000000000000000000000000000000000000000000000000
χ914-4-444-4−1−5−1+5−1+5−1−51+51−51−51+5−1−5−1+51−51+5−1+5−1−51+51−5-13−523+52-11−3+52−3−521-13−523+52-11−3+52−3−521−1−5−1+5−1+5−1−51+51−51−51+50−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ140000-113−52−3+523+52−3−52-11−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38000000000000000000000000000000000
χ924-4-444-4−1−5−1+5−1+5−1−51+51−51−51+5−1−5−1+51−51+5−1+5−1−51+51−5-13−523+52-11−3+52−3−521-13−523+52-11−3+52−3−521−1−5−1+5−1+5−1−51+51−51−51+502ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ140000-113−52−3+523+52−3−52-11ζ6−ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38000000000000000000000000000000000
χ934-4-444-4−1−5−1+5−1−5−1+51+51−51+51−5−1−5−1+51+51−5−1−5−1+51+51−53+52-1-13−52−3−5211−3+523+52-1-13−52−3−5211−3+52−1−5−1+5−1−5−1+51+51−51+51−502ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ3800003+52−3−52-11-113−52−3+52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14000000000000000000000000000000000
χ944-4-444-4−1−5−1+5−1−5−1+51+51−51+51−5−1−5−1+51+51−5−1−5−1+51+51−53+52-1-13−52−3−5211−3+523+52-1-13−52−3−5211−3+52−1−5−1+5−1−5−1+51+51−51+51−50−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ3800003+52−3−52-11-113−52−3+52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14000000000000000000000000000000000
χ954-4-44-4444−1+5−1−5-4-41−51+5441−51+5−1+5−1−5-4-4−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+5-4-41−51+544−1+5−1−50000000001−5−1+51−5−1+51+5−1−51+5−1−50000000000000000000000000000000000000000000000000
χ964-4-44-4444−1−5−1+5-4-41+51−5441+51−5−1−5−1+5-4-4−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−5-4-41+51−544−1−5−1+50000000001+5−1−51+5−1−51−5−1+51−5−1+50000000000000000000000000000000000000000000000000
χ974-4-44-44−1+5−1−5−1+5−1−51−51+51−51+5−1+5−1−51−51+5−1+5−1−51−51+53−52-1-13+52−3+5211−3−523−52-1-13+52−3+5211−3−521−51+51−51+5−1+5−1−5−1+5−1−500000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14−3+523−521-11-1−3−523+52ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38000000000000000000000000000000000
χ984-4-44-44−1+5−1−5−1+5−1−51−51+51−51+5−1+5−1−51−51+5−1+5−1−51−51+53−52-1-13+52−3+5211−3−523−52-1-13+52−3+5211−3−521−51+51−51+5−1+5−1−5−1+5−1−5000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−3+523−521-11-1−3−523+52−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38000000000000000000000000000000000
χ994-4-44-44−1+5−1−5−1−5−1+51−51+51+51−5−1+5−1−51+51−5−1−5−1+51−51+5-13+523−52-11−3−52−3+521-13+523−52-11−3−52−3+5211−51+51+51−5−1+5−1−5−1−5−1+500000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ141-1−3−523+52−3+523−521-1−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38000000000000000000000000000000000
χ1004-4-44-44−1+5−1−5−1−5−1+51−51+51+51−5−1+5−1−51+51−5−1−5−1+51−51+5-13+523−52-11−3−52−3+521-13+523−52-11−3−52−3+5211−51+51+51−5−1+5−1−5−1−5−1+5000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ141-1−3−523+52−3+523−521-1ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38000000000000000000000000000000000
χ1014-4-44-44−1−5−1+5−1+5−1−51+51−51−51+5−1−5−1+51−51+5−1+5−1−51+51−5-13−523+52-11−3+52−3−521-13−523+52-11−3+52−3−5211+51−51−51+5−1−5−1+5−1+5−1−5000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ381-1−3+523−52−3−523+521-1−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38000000000000000000000000000000000
χ1024-4-44-44−1−5−1+5−1+5−1−51+51−51−51+5−1−5−1+51−51+5−1+5−1−51+51−5-13−523+52-11−3+52−3−521-13−523+52-11−3+52−3−5211+51−51−51+5−1−5−1+5−1+5−1−500000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ381-1−3+523−52−3−523+521-1ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38000000000000000000000000000000000
χ1034-4-44-44−1−5−1+5−1−5−1+51+51−51+51−5−1−5−1+51+51−5−1−5−1+51+51−53+52-1-13−52−3−5211−3+523+52-1-13−52−3−5211−3+521+51−51+51−5−1−5−1+5−1−5−1+5000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−3−523+521-11-1−3+523−52ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14000000000000000000000000000000000
χ1044-4-44-44−1−5−1+5−1−5−1+51+51−51+51−5−1−5−1+51+51−5−1−5−1+51+51−53+52-1-13−52−3−5211−3+523+52-1-13−52−3−5211−3+521+51−51+51−5−1−5−1+5−1−5−1+500000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38−3−523+521-11-1−3+523−52−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14000000000000000000000000000000000
χ10588-8-800−2+25−2−25−2+25−2−25−2+25−2−25−2+25−2−252−252+252−252+252−252+252−252+253−5-2-23+53−5-2-23+5−3+522−3−5−3+522−3−500000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-800−2+25−2−25−2−25−2+25−2+25−2−25−2−25−2+252−252+252+252−252+252−252−252+25-23+53−5-2-23+53−5-22−3−5−3+522−3−5−3+5200000000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-800−2−25−2+25−2+25−2−25−2−25−2+25−2+25−2−252+252−252−252+252−252+252+252−25-23−53+5-2-23−53+5-22−3+5−3−522−3+5−3−5200000000000000000000000000000000000000000000000000000000000000000000000000
χ10888-8-800−2−25−2+25−2−25−2+25−2−25−2+25−2−25−2+252+252−252+252−252+252−252+252−253+5-2-23−53+5-2-23−5−3−522−3+5−3−522−3+500000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-800−2+25−2−25−2+25−2−252−252+252−252+252−252+25−2+25−2−252−252+25−2+25−2−253−5-2-23+5−3+522−3−5−3+522−3−53−5-2-23+500000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-800−2+25−2−25−2−25−2+252−252+252+252−252−252+25−2−25−2+252+252−25−2+25−2−25-23+53−5-22−3−5−3+522−3−5−3+52-23+53−5-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-800−2−25−2+25−2+25−2−252+252−252−252+252+252−25−2+25−2−252−252+25−2−25−2+25-23−53+5-22−3+5−3−522−3+5−3−52-23−53+5-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-800−2−25−2+25−2−25−2+252+252−252+252−252+252−25−2−25−2+252+252−25−2−25−2+253+5-2-23−5−3−522−3+5−3−522−3+53+5-2-23−500000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.