Finite Group Databasebeta

← Group #13103694

Character table — Group #13103694

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size11222224444444444455888888888888888888101010202020202020202020202020202020202020404040404040404040405050100100100100100
order12255101045101010101020202020445510101010101020202020202020202020444248888101010102020202020202020202040404040404040402228888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1
χ3111111111111111111111111111111111111111-1-11-1ii−i−i11111111-1-1-1-1-1-1iiii−i−i−i−i-1-1-1ii−i−i
χ4111111111111111111111111111111111111111-1-11-1−i−iii11111111-1-1-1-1-1-1−i−i−i−iiiii-1-1-1−i−iii
χ5111111111111111111-1-1111111111111111111-111-111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1
χ6111111111111111111-1-1111111111111111111-111-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111-1-1111111111111111111-1-1-1-1-1ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i111−i−iii
χ8111111111111111111-1-1111111111111111111-1-1-1-1-1−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii111ii−i−i
χ91111111-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-11-11-1-1-1-1-111111111-1-111-1-111-1-111-11-11-1
χ101111111-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-11-11-1-1-1-111111111-1-1-1-111-1-11111-1-11-11
χ111111111-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-1-1-11i−i−ii-1-1-1-11111-1-1-1-111ii−i−i−i−iii-1-11i−i−ii
χ121111111-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-1-1-11−iii−i-1-1-1-11111-1-1-1-111−i−iiiii−i−i-1-11−iii−i
χ131111111-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111-11-11-11111-1-1-1-11111-1-111-1-111-1-1-1-11-11-11
χ141111111-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111-1-11-111111-1-1-1-11111-1-1-1-111-1-111-1-111-11-1
χ151111111-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111i−i−ii1111-1-1-1-1-1-1-1-111ii−i−i−i−iii11-1−iii−i
χ161111111-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111−iii−i1111-1-1-1-1-1-1-1-111−i−iiiii−i−i11-1i−i−ii
χ17222−1+52−1−52−1+52−1−5222−1+52−1−52222222200−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5202202222200000000−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000
χ18222−1+52−1−52−1+52−1−5222−1+52−1−52222222200−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5202202-2-2-2-200000000−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+521−521+521−521+520000000
χ19222−1+52−1−52−1+52−1−5222−1+52−1−52222222200−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520-2-20-22i2i−2i−2i000000001−521−521+521+521−521+52−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ70000000
χ20222−1+52−1−52−1+52−1−5222−1+52−1−52222222200−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520-2-20-2−2i−2i2i2i000000001−521−521+521+521−521+52ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ70000000
χ21222−1+52−1−52−1+52−1−52-22−1+52−1−52222-2-2-2-200−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521−521−521−521+521+521+521+520220-22-22-200000000−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+520000000
χ22222−1+52−1−52−1+52−1−52-22−1+52−1−52222-2-2-2-200−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521−521−521−521+521+521+521+520220-2-22-2200000000−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1−520000000
χ23222−1+52−1−52−1+52−1−52-22−1+52−1−52222-2-2-2-200−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521−521−521−521+521+521+521+520-2-2022i−2i−2i2i000000001−521−521+521+52−1+52−1−52−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ70000000
χ24222−1+52−1−52−1+52−1−52-22−1+52−1−52222-2-2-2-200−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521−521−521−521+521+521+521+520-2-202−2i2i2i−2i000000001−521−521+521+52−1+52−1−52ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ70000000
χ25222−1−52−1+52−1−52−1+5222−1−52−1+52222222200−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5202202222200000000−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000
χ26222−1−52−1+52−1−52−1+5222−1−52−1+52222222200−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5202202-2-2-2-200000000−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−521+521−521+521−520000000
χ27222−1−52−1+52−1−52−1+5222−1−52−1+52222222200−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520-2-20-22i2i−2i−2i000000001+521+521−521−521+521−52−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ190000000
χ28222−1−52−1+52−1−52−1+5222−1−52−1+52222222200−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520-2-20-2−2i−2i2i2i000000001+521+521−521−521+521−52ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ190000000
χ29222−1−52−1+52−1−52−1+52-22−1−52−1+52222-2-2-2-200−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521+521+521+521−521−521−521−520220-22-22-200000000−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−520000000
χ30222−1−52−1+52−1−52−1+52-22−1−52−1+52222-2-2-2-200−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521+521+521+521−521−521−521−520220-2-22-2200000000−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1+521+521−52−1−52−1+520000000
χ31222−1−52−1+52−1−52−1+52-22−1−52−1+52222-2-2-2-200−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521+521+521+521−521−521−521−520-2-2022i−2i−2i2i000000001+521+521−521−52−1−52−1+52−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ190000000
χ32222−1−52−1+52−1−52−1+52-22−1−52−1+52222-2-2-2-200−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521+521+521+521−521−521−521−520-2-202−2i2i2i−2i000000001+521+521−521−52−1−52−1+52ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ190000000
χ3322-2222202-2-2-2-2200002222-2-2-2-2220000000000-22-2000000000022-2-22-22-200000000002-200000
χ3422-2222202-2-2-2-2200002222-2-2-2-2220000000000-2-22000000000022-2-2-22-220000000000-2200000
χ3522-2222202-2-2-2-220000-2-222-2-2-2-222000000000022-20000000000-2-2222-22-20000000000-2200000
χ3622-2222202-2-2-2-220000-2-222-2-2-2-22200000000002-220000000000-2-222-22-2200000000002-200000
χ3744444444-144-1-1-1-1-1-1-144-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1400400000-1-1-1-1-1-1-1-1000000000000000000000
χ3844444444-144-1-1-1-1-1-1-1-4-4-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-400-40000011111111000000000000000000000
χ394444444-4-144-1-1-1111144-1-1-1-1-1-1-1-1-4-411111111400-4000001111-1-1-1-1000000000000000000000
χ404444444-4-144-1-1-11111-4-4-1-1-1-1-1-1-1-1-4-411111111-400400000-1-1-1-11111000000000000000000000
χ4144-444440-1-4-411-155−5−544-1-11111-1-10055−5−555−5−5-40000000055−5−5-1-111000000000000000000000
χ4244-444440-1-4-411-155−5−5-4-4-1-11111-1-10055−5−555−5−5400000000−5−55511-1-1000000000000000000000
χ4344-444440-1-4-411-1−5−55544-1-11111-1-100−5−555−5−555-400000000−5−555-1-111000000000000000000000
χ4444-444440-1-4-411-1−5−555-4-4-1-11111-1-100−5−555−5−55540000000055−5−511-1-1000000000000000000000
χ4544-4−1+5−1−5−1+5−1−5041−51+5-4-44000000−1+5−1−51−51−51+51+5−1+5−1−5000000000004-400000000000000−1+51−5−1−51+500000000000000000
χ4644-4−1+5−1−5−1+5−1−5041−51+5-4-44000000−1+5−1−51−51−51+51+5−1+5−1−500000000000-44000000000000001−5−1+51+5−1−500000000000000000
χ4744-4−1−5−1+5−1−5−1+5041+51−5-4-44000000−1−5−1+51+51+51−51−5−1−5−1+5000000000004-400000000000000−1−51+5−1+51−500000000000000000
χ4844-4−1−5−1+5−1−5−1+5041+51−5-4-44000000−1−5−1+51+51+51−51−5−1−5−1+500000000000-44000000000000001+5−1−51−5−1+500000000000000000
χ494-4044-4-4040000-400004i−4i440000-4-4000000000000000000000004i−4i00000000000000000000000
χ504-4044-4-4040000-40000−4i4i440000-4-400000000000000000000000−4i4i00000000000000000000000
χ514-4044-4-40-1005−51−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ194i−4i-1-15−55−51100−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19000000000−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18−iii5−i5000000000000000000000
χ524-4044-4-40-1005−51−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19−4i4i-1-15−55−51100−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19000000000ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18i−i−i5i5000000000000000000000
χ534-4044-4-40-1005−51ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ194i−4i-1-15−55−51100ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19000000000ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−iii5−i5000000000000000000000
χ544-4044-4-40-1005−51ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−4i4i-1-15−55−51100ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19000000000−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18i−i−i5i5000000000000000000000
χ554-4044-4-40-100−551ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ194i−4i-1-1−55−551100ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19000000000ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ii−i5i5000000000000000000000
χ564-4044-4-40-100−551ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19−4i4i-1-1−55−551100ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19000000000−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18i−ii5−i5000000000000000000000
χ574-4044-4-40-100−551−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ194i−4i-1-1−55−551100−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19000000000−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18−ii−i5i5000000000000000000000
χ584-4044-4-40-100−551−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19−4i4i-1-1−55−551100−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19000000000ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18i−ii5−i5000000000000000000000
χ59888−2+25−2−25−2+25−2−258-2−2+25−2−25-2-2-2-2-2-2-2001−521+521−521−521+521+521−521+52−2+25−2−251−521−521−521−521+521+521+521+5200000000000000000000000000000000000000
χ60888−2+25−2−25−2+25−2−25-8-2−2+25−2−25-2-2-22222001−521+521−521−521+521+521−521+522−252+25−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000000000000000000000000000
χ61888−2−25−2+25−2−25−2+258-2−2−25−2+25-2-2-2-2-2-2-2001+521−521+521+521−521−521+521−52−2−25−2+251+521+521+521+521−521−521−521−5200000000000000000000000000000000000000
χ62888−2−25−2+25−2−25−2+25-8-2−2−25−2+25-2-2-22222001+521−521+521+521−521−521+521−522+252−25−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000000000000000000000000000000
χ6388-8−2+25−2−25−2+25−2−250-22−252+2522-22525−25−25001−521+52−1+52−1+52−1−52−1−521−521+52005−525−52−5+52−5+52−5−52−5−525+525+5200000000000000000000000000000000000000
χ6488-8−2+25−2−25−2+25−2−250-22−252+2522-2−25−252525001−521+52−1+52−1+52−1−52−1−521−521+5200−5+52−5+525−525−525+525+52−5−52−5−5200000000000000000000000000000000000000
χ6588-8−2−25−2+25−2−25−2+250-22+252−2522-22525−25−25001+521−52−1−52−1−52−1+52−1+521+521−5200−5−52−5−525+525+525−525−52−5+52−5+5200000000000000000000000000000000000000
χ6688-8−2−25−2+25−2−25−2+250-22+252−2522-2−25−252525001+521−52−1−52−1−52−1+52−1+521+521−52005+525+52−5−52−5−52−5+52−5+525−525−5200000000000000000000000000000000000000
χ678-80−2+25−2−252−252+25080000-8000000−2+25−2−2500002−252+25000000000000000000000000000000000000000000000000
χ688-80−2+25−2−252−252+250-20025−252−2ζ3+2ζ7−2ζ11+2ζ192ζ3−2ζ7+2ζ11−2ζ192ζ3−2ζ7−2ζ11+2ζ19−2ζ3+2ζ7+2ζ11−2ζ19001−521+525−52−5+52−5−525+52−1+52−1−52002ζ3−2ζ7+ζ11−ζ19−2ζ3+2ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ3+ζ7+2ζ11−2ζ19ζ3−ζ7−2ζ11+2ζ1900000000000000000000000000000000000000
χ698-80−2+25−2−252−252+250-20025−2522ζ3−2ζ7+2ζ11−2ζ19−2ζ3+2ζ7−2ζ11+2ζ19−2ζ3+2ζ7+2ζ11−2ζ192ζ3−2ζ7−2ζ11+2ζ19001−521+525−52−5+52−5−525+52−1+52−1−5200−2ζ3+2ζ7−ζ11+ζ192ζ3−2ζ7+ζ11−ζ19ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ3−ζ7−2ζ11+2ζ19−ζ3+ζ7+2ζ11−2ζ1900000000000000000000000000000000000000
χ708-80−2+25−2−252−252+250-200−252522ζ3−2ζ7−2ζ11+2ζ19−2ζ3+2ζ7+2ζ11−2ζ192ζ3−2ζ7+2ζ11−2ζ19−2ζ3+2ζ7−2ζ11+2ζ19001−521+52−5+525−525+52−5−52−1+52−1−5200−ζ11+ζ19ζ11−ζ19−2ζ3+2ζ7−ζ11+ζ192ζ3−2ζ7+ζ11−ζ19−ζ3+ζ7+2ζ11−2ζ19ζ3−ζ7−2ζ11+2ζ19ζ3−ζ7−ζ3+ζ700000000000000000000000000000000000000
χ718-80−2+25−2−252−252+250-200−25252−2ζ3+2ζ7+2ζ11−2ζ192ζ3−2ζ7−2ζ11+2ζ19−2ζ3+2ζ7−2ζ11+2ζ192ζ3−2ζ7+2ζ11−2ζ19001−521+52−5+525−525+52−5−52−1+52−1−5200ζ11−ζ19−ζ11+ζ192ζ3−2ζ7+ζ11−ζ19−2ζ3+2ζ7−ζ11+ζ19ζ3−ζ7−2ζ11+2ζ19−ζ3+ζ7+2ζ11−2ζ19−ζ3+ζ7ζ3−ζ700000000000000000000000000000000000000
χ728-80−2−25−2+252+252−25080000-8000000−2−25−2+2500002+252−25000000000000000000000000000000000000000000000000
χ738-80−2−25−2+252+252−250-20025−252−2ζ3+2ζ7−2ζ11+2ζ192ζ3−2ζ7+2ζ11−2ζ192ζ3−2ζ7−2ζ11+2ζ19−2ζ3+2ζ7+2ζ11−2ζ19001+521−52−5−525+525−52−5+52−1−52−1+5200−ζ3+ζ7ζ3−ζ7−ζ3+ζ7+2ζ11−2ζ19ζ3−ζ7−2ζ11+2ζ192ζ3−2ζ7+ζ11−ζ19−2ζ3+2ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ1900000000000000000000000000000000000000
χ748-80−2−25−2+252+252−250-20025−2522ζ3−2ζ7+2ζ11−2ζ19−2ζ3+2ζ7−2ζ11+2ζ19−2ζ3+2ζ7+2ζ11−2ζ192ζ3−2ζ7−2ζ11+2ζ19001+521−52−5−525+525−52−5+52−1−52−1+5200ζ3−ζ7−ζ3+ζ7ζ3−ζ7−2ζ11+2ζ19−ζ3+ζ7+2ζ11−2ζ19−2ζ3+2ζ7−ζ11+ζ192ζ3−2ζ7+ζ11−ζ19ζ11−ζ19−ζ11+ζ1900000000000000000000000000000000000000
χ758-80−2−25−2+252+252−250-200−252522ζ3−2ζ7−2ζ11+2ζ19−2ζ3+2ζ7+2ζ11−2ζ192ζ3−2ζ7+2ζ11−2ζ19−2ζ3+2ζ7−2ζ11+2ζ19001+521−525+52−5−52−5+525−52−1−52−1+5200−ζ3+ζ7+2ζ11−2ζ19ζ3−ζ7−2ζ11+2ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−2ζ3+2ζ7−ζ11+ζ192ζ3−2ζ7+ζ11−ζ1900000000000000000000000000000000000000
χ768-80−2−25−2+252+252−250-200−25252−2ζ3+2ζ7+2ζ11−2ζ192ζ3−2ζ7−2ζ11+2ζ19−2ζ3+2ζ7−2ζ11+2ζ192ζ3−2ζ7+2ζ11−2ζ19001+521−525+52−5−52−5+525−52−1−52−1+5200ζ3−ζ7−2ζ11+2ζ19−ζ3+ζ7+2ζ11−2ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ192ζ3−2ζ7+ζ11−ζ19−2ζ3+2ζ7−ζ11+ζ1900000000000000000000000000000000000000

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