Finite Group Databasebeta

← Group #10615744

Character table — Group #10615744

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size11222222244444444444444444444444444888888888888888888888888820202020404040404040
order1224455101022244488101010101010202020202020202040404040248101010101010101020202020202020204040404040402488444888
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111-111-11111-1-1-1-111-1-1-1-1111111-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-11-1-1
χ411111111111-111-11111-1-1-1-111-1-1-1-1111111-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-11-111
χ51111111111-111-11-1-111111111111111-1-1-1-11-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11-1
χ61111111111-111-11-1-111111111111111-1-1-1-11-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11
χ71111111111-1-11-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1111111-1-11-11-1-11
χ81111111111-1-11-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-11111-1-111-11-111-1
χ9111111111-111-111-1-111111111111111-1-1-1-1-11-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-11-1-1-11
χ10111111111-111-111-1-111111111111111-1-1-1-1-11-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1111-1
χ11111111111-11-1-11-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11-11-1-1111111-1-111-1-1-1-1-1-1111111-1-1-111-11-1
χ12111111111-11-1-11-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11-11-1-1111111-1-111-1-1-1-1-1-11111-1-1111-1-11-11
χ13111111111-1-11-1-1111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ14111111111-1-11-1-1111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111
χ15111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1111
χ16111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111111-1-1-1
χ1722222−1+52−1−52−1+52−1−5222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000000000
χ1822222−1+52−1−52−1+52−1−5222-222-222−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+520000000000
χ1922222−1+52−1−52−1+52−1−522-222-22-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+522-2-2−1+52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521−521+521+521−521+521−521−521+521+520000000000
χ2022222−1+52−1−52−1+52−1−522-2-22-2-2-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52-222−1+52−1−521−521+521−521−521+521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−520000000000
χ2122222−1+52−1−52−1+52−1−52-222-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52-22-21−521+52−1+52−1−521−521−521+521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521−521+521+520000000000
χ2222222−1+52−1−52−1+52−1−52-22-2-22-2-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+522-221−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521−521+521+521−521+52−1+52−1+52−1−52−1−520000000000
χ2322222−1+52−1−52−1+52−1−52-2-22-2-2222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-221−521+521−521+521−521−521+521+521−521+521−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−520000000000
χ2422222−1+52−1−52−1+52−1−52-2-2-2-2-2-222−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−5222-21−521+521−521+52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+520000000000
χ2522222−1−52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000000000
χ2622222−1−52−1+52−1−52−1+5222-222-222−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−520000000000
χ2722222−1−52−1+52−1−52−1+522-222-22-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−522-2-2−1−52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521+521−521−521+521−521+521+521−521−520000000000
χ2822222−1−52−1+52−1−52−1+522-2-22-2-2-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52-222−1−52−1+521+521−521+521+521−521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+520000000000
χ2922222−1−52−1+52−1−52−1+52-222-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52-22-21+521−52−1−52−1+521+521+521−521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521+521−521−520000000000
χ3022222−1−52−1+52−1−52−1+52-22-2-22-2-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−522-221+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521+521−521−521+521−52−1−52−1−52−1+52−1+520000000000
χ3122222−1−52−1+52−1−52−1+52-2-22-2-2222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-221+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+520000000000
χ3222222−1−52−1+52−1−52−1+52-2-2-2-2-2-222−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+5222-21+521−521+521−52−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−520000000000
χ3322-22-22222220-2-202-2-2-20000-2-2000022-2-2-2-200022220000-2-2-2-200002200000000000000
χ3422-22-222222-20-220-22-2-20000-2-2000022222200022-2-20000-2-2220000-2-200000000000000
χ3522-22-22222-2202-20-22-2-20000-2-20000222222000-2-222000022-2-20000-2-200000000000000
χ3622-22-22222-2-202202-2-2-20000-2-2000022-2-2-2-2000-2-2-2-20000222200002200000000000000
χ3722-22-2−1+52−1−52−1+52−1−52220-2-202-21−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−521−521−521+521+52000−1+52−1−52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000
χ3822-22-2−1+52−1−52−1+52−1−52220-2-202-21−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−521−521−521+521+52000−1+52−1−52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000
χ3922-22-2−1+52−1−52−1+52−1−522-20-220-221−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−52−1+52−1+52−1−52−1−52000−1+52−1−521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000
χ4022-22-2−1+52−1−52−1+52−1−522-20-220-221−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−52−1+52−1+52−1−52−1−52000−1+52−1−521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000
χ4122-22-2−1+52−1−52−1+52−1−52-2202-20-221−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−52−1+52−1+52−1−52−1−520001−521+52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000
χ4222-22-2−1+52−1−52−1+52−1−52-2202-20-221−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−52−1+52−1+52−1−52−1−520001−521+52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000
χ4322-22-2−1+52−1−52−1+52−1−52-2-202202-21−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−521−521−521+521+520001−521+521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000
χ4422-22-2−1+52−1−52−1+52−1−52-2-202202-21−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−521−521−521+521+520001−521+521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000
χ4522-22-2−1−52−1+52−1−52−1+52220-2-202-21+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+521+521+521−521−52000−1−52−1+52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000
χ4622-22-2−1−52−1+52−1−52−1+52220-2-202-21+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+521+521+521−521−52000−1−52−1+52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000
χ4722-22-2−1−52−1+52−1−52−1+522-20-220-221+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+52−1−52−1−52−1+52−1+52000−1−52−1+521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000
χ4822-22-2−1−52−1+52−1−52−1+522-20-220-221+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+52−1−52−1−52−1+52−1+52000−1−52−1+521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000
χ4922-22-2−1−52−1+52−1−52−1+52-2202-20-221+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+52−1−52−1−52−1+52−1+520001+521−52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000
χ5022-22-2−1−52−1+52−1−52−1+52-2202-20-221+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+52−1−52−1−52−1+52−1+520001+521−52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000
χ5122-22-2−1−52−1+52−1−52−1+52-2-202202-21+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+521+521+521−521−520001+521−521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000
χ5222-22-2−1−52−1+52−1−52−1+52-2-202202-21+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+521+521+521−521−520001+521−521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000
χ5322-2-22222200200-200-2-2222222-2-2-2-2-2-2000000000000000000000000000002-22-2000000
χ5422-2-22222200200-200-2-2222222-2-2-2-2-2-200000000000000000000000000000-22-22000000
χ5522-2-22222200-200200-2-2-2-2-2-2222222-2-2000000000000000000000000000002-2-22000000
χ5622-2-22222200-200200-2-2-2-2-2-2222222-2-200000000000000000000000000000-222-2000000
χ57444-4-4444400000000440000-4-40000-4-4000000000000000000000000000000000000000
χ58444-4-4−1+5−1−5−1+5−1−500000000−1+5−1−52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−51+5000000000000000000000000000000000000000
χ59444-4-4−1+5−1−5−1+5−1−500000000−1+5−1−5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−51+5000000000000000000000000000000000000000
χ60444-4-4−1−5−1+5−1−5−1+500000000−1−5−1+5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+51−5000000000000000000000000000000000000000
χ61444-4-4−1−5−1+5−1−5−1+500000000−1−5−1+52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+51−5000000000000000000000000000000000000000
χ6244-4-44−1+5−1−5−1+5−1−500400-4001−51+5−1+5−1+5−1−5−1−5−1+5−1−51−51−51+51+51−51+5000000000000000000000000000000000000000
χ6344-4-44−1+5−1−5−1+5−1−500-4004001−51+51−51−51+51+5−1+5−1−5−1+5−1+5−1−5−1−51−51+5000000000000000000000000000000000000000
χ6444-4-44−1−5−1+5−1−5−1+500400-4001+51−5−1−5−1−5−1+5−1+5−1−5−1+51+51+51−51−51+51−5000000000000000000000000000000000000000
χ6544-4-44−1−5−1+5−1−5−1+500-4004001+51−51+51+51−51−5−1−5−1+5−1−5−1−5−1+5−1+51+51−5000000000000000000000000000000000000000
χ668-800088-8-80000000000000000000000000000000000000000000000000000000000000
χ678-8000−2+25−2−252−252+2500000000000000000000002ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ37−2ζ21+2ζ29−2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ3900000000000000000000000000000000000
χ688-8000−2+25−2−252−252+250000000000000000000000−2ζ7+2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ372ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ3900000000000000000000000000000000000
χ698-8000−2−25−2+252+252−250000000000000000000000−2ζ21+2ζ29−2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ39−2ζ7+2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ3700000000000000000000000000000000000
χ708-8000−2−25−2+252+252−2500000000000000000000002ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ392ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ3700000000000000000000000000000000000

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