Finite Group Databasebeta

← Group #12002607

Character table — Group #12002607

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222222222222222224444444444448888888888888888888888888888161616161616161616161616161616161616161640404040404040404040404040404040
order1222222222225510101010101010101010101010104444101010101010101044442020202020202020202020202020202020202020202020204444202020202020202020202020202020204444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ92222222222222222222222222222-2-2-2-22222222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ102222222222222222222222222222-2-2-2-222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000
χ11222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+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+52−1−52−1−52−1−52−1−522222−1+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+52−1−52−1−520000000000000000
χ12222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+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+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521−521−521−521+521+521+521+521−521−521+521+520000000000000000
χ13222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521−521−521+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+522-22-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−520000000000000000
χ14222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521−521−521+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+52-22-221−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+520000000000000000
χ15222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-2−1+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+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ16222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-2−1+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+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ17222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2221−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ18222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2221−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ19222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+522222−1−52−1−52−1−52−1−52−1+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+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+520000000000000000
χ20222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+522222−1−52−1−52−1−52−1−52−1+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+52-2-2-2-21+521+521−521−521+521+521+521+521−521−521−521−521+521+521−521−520000000000000000
χ21222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-21+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+521−521−521−521−522-22-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+520000000000000000
χ22222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-21+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+521−521−521−521−52-22-221+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−520000000000000000
χ23222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000
χ24222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000000000
χ25222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2221+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000
χ26222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2221+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000000000
χ2722222222-2-2-2-222222222222222222-22-2-2-2-2-2-2-2-2-200000000000022-2-222-2-200000000020-200002-22-22-22-200000000000000000000
χ2822222222-2-2-2-222222222222222222-22-2-2-2-2-2-2-2-2-200000000000022-2-222-2-2000000000-2020000-22-22-22-2200000000000000000000
χ2922222222-2-2-2-22222222222222222-22-22-2-2-2-2-2-2-2-2000000000000-2-222-2-2220000000020-20222200000000-2-2-2-20000000000000000
χ3022222222-2-2-2-22222222222222222-22-22-2-2-2-2-2-2-2-2000000000000-2-222-2-22200000000-2020-2-2-2-20000000022220000000000000000
χ3122222222-2-2-2-2−1+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+52−1−522-22-21−521−521−521−521+521+521+521+520000ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+52−1+521−521−52−1−52−1−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36020-2ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+521−52−1+521−52−1−521+52−1−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ3222222222-2-2-2-2−1+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+52−1−522-22-21−521−521−521−521+521+521+521+520000ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+52−1+521−521−52−1−52−1−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ360-202−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−52−1+521−52−1+521+52−1−521+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ3322222222-2-2-2-2−1+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+52−1−522-22-21−521−521−521−521+521+521+521+520000−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+52−1+521−521−52−1−52−1−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36020-2−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+521−52−1+521−52−1−521+52−1−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ3422222222-2-2-2-2−1+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+52−1−522-22-21−521−521−521−521+521+521+521+520000−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+52−1+521−521−52−1−52−1−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ360-202ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−52−1+521−52−1+521+52−1−521+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ3522222222-2-2-2-2−1+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+52−1−52-22-221−521−521−521−521+521+521+521+520000ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521−52−1+52−1+521+521+52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3620-20−1+52−1+52−1−52−1−52ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ361−521−521+521+520000000000000000
χ3622222222-2-2-2-2−1+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+52−1−52-22-221−521−521−521−521+521+521+521+520000ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521−52−1+52−1+521+521+52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36-20201−521−521+521+52−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36−1+52−1+52−1−52−1−520000000000000000
χ3722222222-2-2-2-2−1+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+52−1−52-22-221−521−521−521−521+521+521+521+520000−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521−52−1+52−1+521+521+52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3620-20−1+52−1+52−1−52−1−52−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ361−521−521+521+520000000000000000
χ3822222222-2-2-2-2−1+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+52−1−52-22-221−521−521−521−521+521+521+521+520000−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521−52−1+52−1+521+521+52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36-20201−521−521+521+52ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−1+52−1+52−1−52−1−520000000000000000
χ3922222222-2-2-2-2−1−52−1+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+522-22-21+521+521+521+521−521−521−521−520000−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−1−52−1−521+521+52−1+52−1+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28020-2−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−521+52−1−521+52−1+521−52−1+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000000000
χ4022222222-2-2-2-2−1−52−1+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+522-22-21+521+521+521+521−521−521−521−520000−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−1−52−1−521+521+52−1+52−1+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ280-202ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+52−1−521+52−1−521−52−1+521−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000
χ4122222222-2-2-2-2−1−52−1+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+522-22-21+521+521+521+521−521−521−521−520000ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−1−52−1−521+521+52−1+52−1+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28020-2ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−521+52−1−521+52−1+521−52−1+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000
χ4222222222-2-2-2-2−1−52−1+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+522-22-21+521+521+521+521−521−521−521−520000ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−1−52−1−521+521+52−1+52−1+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ280-202−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+52−1−521+52−1−521−52−1+521−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000000000
χ4322222222-2-2-2-2−1−52−1+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+52-22-221+521+521+521+521−521−521−521−520000−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521+52−1−52−1−521−521−52−1+52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2820-20−1−52−1−52−1+52−1+52−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ281+521+521−521−520000000000000000
χ4422222222-2-2-2-2−1−52−1+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+52-22-221+521+521+521+521−521−521−521−520000−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521+52−1−52−1−521−521−52−1+52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28-20201+521+521−521−52ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−1−52−1−52−1+52−1+520000000000000000
χ4522222222-2-2-2-2−1−52−1+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+52-22-221+521+521+521+521−521−521−521−520000ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521+52−1−52−1−521−521−52−1+52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2820-20−1−52−1−52−1+52−1+52ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ281+521+521−521−520000000000000000
χ4622222222-2-2-2-2−1−52−1+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+52-22-221+521+521+521+521−521−521−521−520000ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521+52−1−52−1−521−521−52−1+52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28-20201+521+521−521−52−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−1−52−1−52−1+52−1+520000000000000000
χ472222-2-2-2-222-2-22222222-2-2-22-2-2-2-2-2000022-2-222-2-22-2002-22-22-22-20000000000000000000000000000000000000000000022−2−222−2−2
χ482222-2-2-2-222-2-22222222-2-2-22-2-2-2-2-2000022-2-222-2-22-2002-22-22-22-200000000000000000000000000000000000000000000−2−222−2−222
χ492222-2-2-2-222-2-22222222-2-2-22-2-2-2-2-2000022-2-222-2-2-2200-22-22-22-220000000000000000000000000000000000000000000022−2−2−2−222
χ502222-2-2-2-222-2-22222222-2-2-22-2-2-2-2-2000022-2-222-2-2-2200-22-22-22-2200000000000000000000000000000000000000000000−2−22222−2−2
χ512-2-222-22-22-22-222-2-2-2-222-2-222-2-2222-2-222-22-22-22-20000000000002-22-22-22-2000000000000000000000000000000002i2i−2i−2i00000000
χ522-2-222-22-22-22-222-2-2-2-222-2-222-2-2222-2-222-22-22-22-20000000000002-22-22-22-200000000000000000000000000000000−2i−2i2i2i00000000
χ532-2-222-22-22-22-222-2-2-2-222-2-222-2-222-222-22-22-22-22-2000000000000-22-22-22-2200000000000000000000000000002i2i−2i−2i000000000000
χ542-2-222-22-22-22-222-2-2-2-222-2-222-2-222-222-22-22-22-22-2000000000000-22-22-22-220000000000000000000000000000−2i−2i2i2i000000000000
χ552-2-222-22-2-22-2222-2-2-2-222-2-222-2-22222-2-2-22-22-22-220000000000002-2-222-2-220000000000000000000000000000000000002i−2i2i−2i0000
χ562-2-222-22-2-22-2222-2-2-2-222-2-222-2-22222-2-2-22-22-22-220000000000002-2-222-2-22000000000000000000000000000000000000−2i2i−2i2i0000
χ572-2-222-22-2-22-2222-2-2-2-222-2-222-2-222-2-222-22-22-22-22000000000000-222-2-222-200000000000000000000000000000000000000002-22-2
χ582-2-222-22-2-22-2222-2-2-2-222-2-222-2-222-2-222-22-22-22-22000000000000-222-2-222-20000000000000000000000000000000000000000-22-22
χ592-2-22-22-22-222-222-2-2-2-22-2222-222-2-20000-222-2-222-2002i−2i00000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000i2−i2−i2i22−2−22
χ602-2-22-22-22-222-222-2-2-2-22-2222-222-2-20000-222-2-222-2002i−2i00000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000−i2i2i2−i2−222−2
χ612-2-22-22-22-222-222-2-2-2-22-2222-222-2-20000-222-2-222-200−2i2i0000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000i2−i2−i2i2−222−2
χ622-2-22-22-22-222-222-2-2-2-22-2222-222-2-20000-222-2-222-200−2i2i0000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000−i2i2i2−i22−2−22
χ634444-4-4-4-444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+51−51−51−5−1−51+51+51+51−51+50000−1+5−1+51−51−5−1−5−1−51+51+54-400−1+51−5−1+51−5−1−51+5−1−51+50000000000000000000000000000000000000000000000000000
χ644444-4-4-4-444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+51−51−51−5−1−51+51+51+51−51+50000−1+5−1+51−51−5−1−5−1−51+51+5-44001−5−1+51−5−1+51+5−1−51+5−1−50000000000000000000000000000000000000000000000000000
χ654444-4-4-4-444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−51+51+51+5−1+51−51−51−51+51−50000−1−5−1−51+51+5−1+5−1+51−51−54-400−1−51+5−1−51+5−1+51−5−1+51−50000000000000000000000000000000000000000000000000000
χ664444-4-4-4-444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−51+51+51+5−1+51−51−51−51+51−50000−1−5−1−51+51+5−1+5−1+51−51−5-44001+5−1−51+5−1−51−5−1+51−5−1+50000000000000000000000000000000000000000000000000000
χ674444-4-4-4-4-4-4444444444-4-4-44-4-4-4-4-40000-4-444-4-4440000000000000000000000000000000000000000000000000000000000000000
χ684444-4-4-4-4-4-444−1+5−1−5−1+5−1+5−1−5−1−5−1+51−51−51−5−1−51+51+51+51−51+500001−51−5−1+5−1+51+51+5−1−5−1−500002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000000000000000000000000000000
χ694444-4-4-4-4-4-444−1+5−1−5−1+5−1+5−1−5−1−5−1+51−51−51−5−1−51+51+51+51−51+500001−51−5−1+5−1+51+51+5−1−5−1−50000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000000000000000000000000000000
χ704444-4-4-4-4-4-444−1−5−1+5−1−5−1−5−1+5−1+5−1−51+51+51+5−1+51−51−51−51+51−500001+51+5−1−5−1−51−51−5−1+5−1+50000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000000000000000000000000000
χ714444-4-4-4-4-4-444−1−5−1+5−1−5−1−5−1+5−1+5−1−51+51+51+5−1+51−51−51−51+51−500001+51+5−1−5−1−51−51−5−1+5−1+500002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000000000000000000000000000000
χ7244-4-444-4-40000444-44-4-444-4-444-4-4-400000000000000000000000000000000000000000000000000000000000000002-22-200000000
χ7344-4-444-4-40000444-44-4-444-4-444-4-4-40000000000000000000000000000000000000000000000000000000000000000-22-2200000000
χ7444-4-4-4-4440000444-44-4-4-4-44-4-4-44440000000000000000000000000000000000000000000000000000000000002-22-2000000000000
χ7544-4-4-4-4440000444-44-4-4-4-44-4-4-4444000000000000000000000000000000000000000000000000000000000000-22-22000000000000
χ764-44-44-4-44000044-44-44-44-44-44-44-4-400000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i00000000
χ774-44-44-4-44000044-44-44-44-44-44-44-4-40000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i00000000
χ784-44-4-444-4000044-44-44-4-44-4-4-44-4440000000000000000000000000000000000000000000000000000000000002i−2i−2i2i000000000000
χ794-44-4-444-4000044-44-44-4-44-4-4-44-444000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i000000000000
χ804-4-444-44-44-44-4−1+5−1−51−51−51+51+5−1+5−1+51−51−5−1−5−1−51+51+5−1+5−1−54-4-44−1+51−5−1+51−5−1−51+5−1−51+5000000000000−1+51−5−1+51−5−1−51+5−1−51+500000000000000000000000000000000000000000000
χ814-4-444-44-44-44-4−1+5−1−51−51−51+51+5−1+5−1+51−51−5−1−5−1−51+51+5−1+5−1−5-444-4−1+51−5−1+51−5−1−51+5−1−51+50000000000001−5−1+51−5−1+51+5−1−51+5−1−500000000000000000000000000000000000000000000
χ824-4-444-44-44-44-4−1−5−1+51+51+51−51−5−1−5−1−51+51+5−1+5−1+51−51−5−1−5−1+54-4-44−1−51+5−1−51+5−1+51−5−1+51−5000000000000−1−51+5−1−51+5−1+51−5−1+51−500000000000000000000000000000000000000000000
χ834-4-444-44-44-44-4−1−5−1+51+51+51−51−5−1−5−1−51+51+5−1+5−1+51−51−5−1−5−1+5-444-4−1−51+5−1−51+5−1+51−5−1+51−50000000000001+5−1−51+5−1−51−5−1+51−5−1+500000000000000000000000000000000000000000000
χ844-4-444-44-4-44-44−1+5−1−51−51−51+51+5−1+5−1+51−51−5−1−5−1−51+51+5−1+5−1−544-4-41−5−1+51−5−1+51+5−1−51+5−1−5000000000000−1+51−51−5−1+5−1−51+51+5−1−500000000000000000000000000000000000000000000
χ854-4-444-44-4-44-44−1+5−1−51−51−51+51+5−1+5−1+51−51−5−1−5−1−51+51+5−1+5−1−5-4-4441−5−1+51−5−1+51+5−1−51+5−1−50000000000001−5−1+5−1+51−51+5−1−5−1−51+500000000000000000000000000000000000000000000
χ864-4-444-44-4-44-44−1−5−1+51+51+51−51−5−1−5−1−51+51+5−1+5−1+51−51−5−1−5−1+544-4-41+5−1−51+5−1−51−5−1+51−5−1+5000000000000−1−51+51+5−1−5−1+51−51−5−1+500000000000000000000000000000000000000000000
χ874-4-444-44-4-44-44−1−5−1+51+51+51−51−5−1−5−1−51+51+5−1+5−1+51−51−5−1−5−1+5-4-4441+5−1−51+5−1−51−5−1+51−5−1+50000000000001+5−1−5−1−51+51−5−1+5−1+51−500000000000000000000000000000000000000000000
χ884-4-44-44-444-4-4444-4-4-4-44-4444-444-4-400004-4-444-4-440000000000000000000000000000000000000000000000000000000000000000
χ894-4-44-44-444-4-44−1+5−1−51−51−51+51+5−1+51−5−1+5−1+5−1−51+5−1−5−1−51−51+50000−1+51−51−5−1+5−1−51+51+5−1−500000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14000000000000000000000000000000000000
χ904-4-44-44-444-4-44−1+5−1−51−51−51+51+5−1+51−5−1+5−1+5−1−51+5−1−5−1−51−51+50000−1+51−51−5−1+5−1−51+51+5−1−5000000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14000000000000000000000000000000000000
χ914-4-44-44-444-4-44−1−5−1+51+51+51−51−5−1−51+5−1−5−1−5−1+51−5−1+5−1+51+51−50000−1−51+51+5−1−5−1+51−51−5−1+5000000000000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38000000000000000000000000000000000000
χ924-4-44-44-444-4-44−1−5−1+51+51+51−51−5−1−51+5−1−5−1−5−1+51−5−1+5−1+51+51−50000−1−51+51+5−1−5−1+51−51−5−1+500000000000000000000−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ38000000000000000000000000000000000000
χ934-4-44-44-44-444-4−1+5−1−51−51−51+51+5−1+51−5−1+5−1+5−1−51+5−1−5−1−51−51+500001−5−1+5−1+51−51+5−1−5−1−51+5004i−4i0000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000000000000000
χ944-4-44-44-44-444-4−1+5−1−51−51−51+51+5−1+51−5−1+5−1+5−1−51+5−1−5−1−51−51+500001−5−1+5−1+51−51+5−1−5−1−51+500−4i4i00000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000000000000000
χ954-4-44-44-44-444-4−1−5−1+51+51+51−51−5−1−51+5−1−5−1−5−1+51−5−1+5−1+51+51−500001+5−1−5−1−51+51−5−1+5−1+51−5004i−4i0000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000000000
χ964-4-44-44-44-444-4−1−5−1+51+51+51−51−5−1−51+5−1−5−1−5−1+51−5−1+5−1+51+51−500001+5−1−5−1−51+51−5−1+5−1+51−500−4i4i00000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000000000
χ9788-8-888-8-80000−2+25−2−25−2+252−25−2−252+252−25−2+25−2+252−252+25−2−25−2−252+252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-888-8-80000−2−25−2+25−2−252+25−2+252−252+25−2−25−2−252+252−25−2+25−2+252−252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-8-8880000−2+25−2−25−2+252−25−2−252+252−252−252−25−2+252+252+252+25−2−25−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-8-8880000−2−25−2+25−2−252+25−2+252−252+252+252+25−2−252−252−252−25−2+25−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-88-8-880000−2+25−2−252−25−2+252+25−2−252−25−2+252−25−2+252+25−2−252+25−2−252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-88-8-880000−2−25−2+252+25−2−252−25−2+252+25−2−252+25−2−252−25−2+252−25−2+252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-888-80000−2+25−2−252−25−2+252+25−2−252−252−25−2+252−252+252+25−2−252+25−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-888-80000−2−25−2+252+25−2−252−25−2+252+252+25−2−252+252−252−25−2+252−25−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000

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