Finite Group Databasebeta

← Group #13101862

Character table — Group #13101862

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size11222222222224444444444444444444444444444448888888888888888888888888888888840404040404040404040404040404040404040405050100100100
order12244555510101010245555101010101010101020202020202020202020202020202020101010101010101010101010101010102020202020202020202020202020202044882020202020202020404040404040404088888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ51111111111111-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111-1-1
χ61111111111111-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111-1-1-111
χ71111111111111-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-1-111
χ81111111111111-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111-1-1
χ92222222−1+52−1−5222−1+52−1−5222−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1−5222−1+52−1−52−1+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+52−1−52−1−52−1−52−1−5202020000−1+52−1+52−1−52−1−520000−1+52−1+52−1−52−1−5200000
χ102222222−1+52−1−5222−1+52−1−5222−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1−5222−1+52−1−52−1+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+52−1−52−1−52−1−52−1−520-20-200001−521−521+521+5200001−521−521+521+5200000
χ112222222−1+52−1−5222−1+52−1−52-2-2−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1−52-2-21−521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-21−521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52020-20000−1+52−1+52−1−52−1−5200001−521−521+521+5200000
χ122222222−1+52−1−5222−1+52−1−52-2-2−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1−52-2-21−521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-21−521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+520-20200001−521−521+521+520000−1+52−1+52−1−52−1−5200000
χ132222222−1−52−1+5222−1−52−1+5222−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1+5222−1−52−1+52−1−52−1−52−1+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+5202020000−1−52−1−52−1+52−1+520000−1−52−1−52−1+52−1+5200000
χ142222222−1−52−1+5222−1−52−1+5222−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1+5222−1−52−1+52−1−52−1−52−1+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+520-20-200001+521+521−521−5200001+521+521−521−5200000
χ152222222−1−52−1+5222−1−52−1+52-2-2−1−52−1−52−1+52−1+5222−1−52−1+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+5222−1−52−1+52-2-21+521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-21+521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52020-20000−1−52−1−52−1+52−1+5200001+521+521−521−5200000
χ162222222−1−52−1+5222−1−52−1+52-2-2−1−52−1−52−1+52−1+5222−1−52−1+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+5222−1−52−1+52-2-21+521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-21+521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−520-20200001+521+521−521−520000−1−52−1−52−1+52−1+5200000
χ1722222−1+52−1−5222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−5222−1+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+52−1−5222−1+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+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522020−1+52−1+52−1−52−1−520000−1+52−1+52−1−52−1−52000000000
χ1822222−1+52−1−5222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−5222−1+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+52−1−5222−1+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+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-20-201−521−521+521+5200001−521−521+521+52000000000
χ1922222−1+52−1−5222−1+52−1−5222-2-2−1+52−1−52−1+52−1−52−1+52−1−5222−1+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+52−1−52221−521+52-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+52-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5220-20−1+52−1+52−1−52−1−5200001−521−521+521+52000000000
χ2022222−1+52−1−5222−1+52−1−5222-2-2−1+52−1−52−1+52−1−52−1+52−1−5222−1+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+52−1−52221−521+52-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+52-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52-20201−521−521+521+520000−1+52−1+52−1−52−1−52000000000
χ2122222−1−52−1+5222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+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+5222−1−52−1+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+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522020−1−52−1−52−1+52−1+520000−1−52−1−52−1+52−1+52000000000
χ2222222−1−52−1+5222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+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+5222−1−52−1+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+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-20-201+521+521−521−5200001+521+521−521−52000000000
χ2322222−1−52−1+5222−1−52−1+5222-2-2−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+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+52221+521−52-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521−52-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5220-20−1−52−1−52−1+52−1+5200001+521+521−521−52000000000
χ2422222−1−52−1+5222−1−52−1+5222-2-2−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+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+52221+521−52-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521−52-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52-20201+521+521−521−520000−1−52−1−52−1+52−1+52000000000
χ25222-2-22222222200222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200002222000000000000-2-2-2-200000000000000000000000000000002i−2i
χ26222-2-22222222200222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200002222000000000000-2-2-2-20000000000000000000000000000000−2i2i
χ2722-22-2222222222-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-222222222-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000
χ2822-22-222222222-222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222220000000000000000000000000
χ2922-22-222−1+52−1−5222−1+52−1−522-2−1+52−1+52−1−52−1−52-2-21−521+52−1+52−1+52−1−52−1−52-2-21−521+521−521−521−521−521+521+521+521+5222−1+52−1−5222−1+52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5200000000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000
χ3022-22-222−1+52−1−5222−1+52−1−522-2−1+52−1+52−1−52−1−52-2-21−521+52−1+52−1+52−1−52−1−52-2-21−521+521−521−521−521−521+521+521+521+5222−1+52−1−5222−1+52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5200000000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000
χ3122-22-222−1+52−1−5222−1+52−1−52-22−1+52−1+52−1−52−1−52-2-21−521+52−1+52−1+52−1−52−1−52-2-21−521+521−521−521−521−521+521+521+521+5222−1+52−1−52-2-21−521+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+52−1−52−1−52−1−52−1−5200000000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000
χ3222-22-222−1+52−1−5222−1+52−1−52-22−1+52−1+52−1−52−1−52-2-21−521+52−1+52−1+52−1−52−1−52-2-21−521+521−521−521−521−521+521+521+521+5222−1+52−1−52-2-21−521+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+52−1−52−1−52−1−52−1−5200000000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000
χ3322-22-222−1−52−1+5222−1−52−1+522-2−1−52−1−52−1+52−1+52-2-21+521−52−1−52−1−52−1+52−1+52-2-21+521−521+521+521+521+521−521−521−521−5222−1−52−1+5222−1−52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5200000000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000
χ3422-22-222−1−52−1+5222−1−52−1+522-2−1−52−1−52−1+52−1+52-2-21+521−52−1−52−1−52−1+52−1+52-2-21+521−521+521+521+521+521−521−521−521−5222−1−52−1+5222−1−52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5200000000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000
χ3522-22-222−1−52−1+5222−1−52−1+52-22−1−52−1−52−1+52−1+52-2-21+521−52−1−52−1−52−1+52−1+52-2-21+521−521+521+521+521+521−521−521−521−5222−1−52−1+52-2-21+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+5200000000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000
χ3622-22-222−1−52−1+5222−1−52−1+52-22−1−52−1−52−1+52−1+52-2-21+521−52−1−52−1−52−1+52−1+52-2-21+521−521+521+521+521+521−521−521−521−5222−1−52−1+52-2-21+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+5200000000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000
χ3722-22-2−1+52−1−5222−1+52−1−52222-2−1+52−1−52−1+52−1−521−521+52-2-2−1+52−1−52−1+52−1−521−521+52-2-21−521−521+521+521−521−521+521+52−1+52−1−5222−1+52−1−52221−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+52-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000
χ3822-22-2−1+52−1−5222−1+52−1−52222-2−1+52−1−52−1+52−1−521−521+52-2-2−1+52−1−52−1+52−1−521−521+52-2-21−521−521+521+521−521−521+521+52−1+52−1−5222−1+52−1−52221−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+52-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000
χ3922-22-2−1+52−1−5222−1+52−1−5222-22−1+52−1−52−1+52−1−521−521+52-2-2−1+52−1−52−1+52−1−521−521+52-2-21−521−521+521+521−521−521+521+52−1+52−1−52221−521+52-2-21−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000
χ4022-22-2−1+52−1−5222−1+52−1−5222-22−1+52−1−52−1+52−1−521−521+52-2-2−1+52−1−52−1+52−1−521−521+52-2-21−521−521+521+521−521−521+521+52−1+52−1−52221−521+52-2-21−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000
χ4122-22-2−1−52−1+5222−1−52−1+52222-2−1−52−1+52−1−52−1+521+521−52-2-2−1−52−1+52−1−52−1+521+521−52-2-21+521+521−521−521+521+521−521−52−1−52−1+5222−1−52−1+52221+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−52-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000
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χ898-800088−2+25−2−25-8-82−252+2500−2+25−2+25−2−25−2−2500002−252−252+252+250000000000000000000000000000000000000000000000000000000000000000000000000
χ908-800088−2−25−2+25-8-82+252−2500−2−25−2−25−2+25−2+2500002+252+252−252−250000000000000000000000000000000000000000000000000000000000000000000000000
χ918-8000−2+25−2−25882−252+25-8-800−2+25−2−25−2+25−2−2500002−252+252−252+250000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8000−2+25−2−25−2+25−2−252−252+252−252+25003−5-2-23+50000−3+522−3−500006ζ6+6ζ14+4ζ22+4ζ38−6ζ6−6ζ14−4ζ22−4ζ382i5−2i52i5−2i5−4ζ6−4ζ14−6ζ22−6ζ384ζ6+4ζ14+6ζ22+6ζ380000000000000000000000000000000000000000000000000000000000000
χ938-8000−2+25−2−25−2+25−2−252−252+252−252+25003−5-2-23+50000−3+522−3−50000−6ζ6−6ζ14−4ζ22−4ζ386ζ6+6ζ14+4ζ22+4ζ38−2i52i5−2i52i54ζ6+4ζ14+6ζ22+6ζ38−4ζ6−4ζ14−6ζ22−6ζ380000000000000000000000000000000000000000000000000000000000000
χ948-8000−2+25−2−25−2−25−2+252−252+252+252−2500-23+53−5-200002−3−5−3+5200002i5−2i54ζ6+4ζ14+6ζ22+6ζ38−4ζ6−4ζ14−6ζ22−6ζ38−6ζ6−6ζ14−4ζ22−4ζ386ζ6+6ζ14+4ζ22+4ζ382i5−2i50000000000000000000000000000000000000000000000000000000000000
χ958-8000−2+25−2−25−2−25−2+252−252+252+252−2500-23+53−5-200002−3−5−3+520000−2i52i5−4ζ6−4ζ14−6ζ22−6ζ384ζ6+4ζ14+6ζ22+6ζ386ζ6+6ζ14+4ζ22+4ζ38−6ζ6−6ζ14−4ζ22−4ζ38−2i52i50000000000000000000000000000000000000000000000000000000000000
χ968-8000−2−25−2+25882+252−25-8-800−2−25−2+25−2−25−2+2500002+252−252+252−250000000000000000000000000000000000000000000000000000000000000000000000000
χ978-8000−2−25−2+25−2+25−2−252+252−252−252+2500-23−53+5-200002−3+5−3−5200002i5−2i5−6ζ6−6ζ14−4ζ22−4ζ386ζ6+6ζ14+4ζ22+4ζ384ζ6+4ζ14+6ζ22+6ζ38−4ζ6−4ζ14−6ζ22−6ζ382i5−2i50000000000000000000000000000000000000000000000000000000000000
χ988-8000−2−25−2+25−2+25−2−252+252−252−252+2500-23−53+5-200002−3+5−3−520000−2i52i56ζ6+6ζ14+4ζ22+4ζ38−6ζ6−6ζ14−4ζ22−4ζ38−4ζ6−4ζ14−6ζ22−6ζ384ζ6+4ζ14+6ζ22+6ζ38−2i52i50000000000000000000000000000000000000000000000000000000000000
χ998-8000−2−25−2+25−2−25−2+252+252−252+252−25003+5-2-23−50000−3−522−3+50000−4ζ6−4ζ14−6ζ22−6ζ384ζ6+4ζ14+6ζ22+6ζ382i5−2i52i5−2i56ζ6+6ζ14+4ζ22+4ζ38−6ζ6−6ζ14−4ζ22−4ζ380000000000000000000000000000000000000000000000000000000000000
χ1008-8000−2−25−2+25−2−25−2+252+252−252+252−25003+5-2-23−50000−3−522−3+500004ζ6+4ζ14+6ζ22+6ζ38−4ζ6−4ζ14−6ζ22−6ζ38−2i52i5−2i52i5−6ζ6−6ζ14−4ζ22−4ζ386ζ6+6ζ14+4ζ22+4ζ380000000000000000000000000000000000000000000000000000000000000

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