Finite Group Databasebeta

← Group #13103827

Character table — Group #13103827

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size11222224444444444455888888888888888888101010202020202020202020202020202020202020404040404040404040405050100100100100100
order12255101025101010101010101010445510101010101010101010101010101010444248888202020202020202020202020101040404040404040402248888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-11ii−i−i11111111-1-1-1-1-1-1iiii−i−i−i−i-1-1-1ii−i−i
χ4111111111111111111111111111111111111111-1-1-11−i−iii11111111-1-1-1-1-1-1−i−i−i−iiiii-1-1-1−i−iii
χ5111111111111111111-1-1111111111111111111-1111-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1
χ6111111111111111111-1-1111111111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111
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
χ91111111-111111-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-1111-1-11-11-11111-1-1-1-11111-1-111-1-111-1-111-11-11-1
χ101111111-111111-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-1111-1-1-11-111111-1-1-1-11111-1-1-1-111-1-11111-1-11-11
χ111111111-111111-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-11-1-11-1i−i−ii1111-1-1-1-1-1-1-1-111ii−i−i−i−iii-1-11i−i−ii
χ121111111-111111-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-11-1-11-1−iii−i1111-1-1-1-1-1-1-1-111−i−iiiii−i−i-1-11−iii−i
χ131111111-111111-1-1-1-11-1-111-1-1111111-1-1-1-1-1-1-1-1-111-111-11-1-1-1-1-111111111-1-111-1-111-1-1-1-11-11-11
χ141111111-111111-1-1-1-11-1-111-1-1111111-1-1-1-1-1-1-1-1-111-11-11-11-1-1-1-111111111-1-1-1-111-1-111-1-111-11-1
χ151111111-111111-1-1-1-11-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-111i−i−ii-1-1-1-11111-1-1-1-111ii−i−i−i−iii11-1−iii−i
χ161111111-111111-1-1-1-11-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-111−iii−i-1-1-1-11111-1-1-1-111−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+52−1−52−1−52−1−52−1−5202220222200000000−1+52−1+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+52−1−52−1−52−1−52−1−5202220-2-2-2-200000000−1+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+52−1−52−1−52−1−52−1−520-2-2-202i2i−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+52−1−52−1−52−1−52−1−520-2-2-20−2i−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+52−1−5222-2-2-2-2200−1+52−1−521−521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52022-202-22-200000000−1+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+52−1−5222-2-2-2-2200−1+52−1−521−521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52022-20-22-2200000000−1+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+52−1−5222-2-2-2-2200−1+52−1−521−521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+520-2-2202i−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+52−1−5222-2-2-2-2200−1+52−1−521−521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+520-2-220−2i2i2i−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+5202220222200000000−1−52−1−52−1+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+5202220-2-2-2-200000000−1−52−1−52−1+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+520-2-2-202i2i−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+520-2-2-20−2i−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+5222-2-2-2-2200−1−52−1+521+521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52022-202-22-200000000−1−52−1−52−1+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+5222-2-2-2-2200−1−52−1+521+521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52022-20-22-2200000000−1−52−1−52−1+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+5222-2-2-2-2200−1−52−1+521+521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−520-2-2202i−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+5222-2-2-2-2200−1−52−1+521+521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−520-2-220−2i2i2i−2i000000001+521+521−521−52−1−52−1+52ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ190000000
χ3322-2222202-2-2-2-2000022222002-2-22-2-200000000-22-200000022-2-200002-22-200000000002-200000
χ3422-2222202-2-2-2-2000022222002-2-22-2-200000000-2-2200000022-2-20000-22-220000000000-2200000
χ3522-2222202-2-2-2-200002-2-222002-2-22-2-20000000022-2000000-2-22200002-22-20000000000-2200000
χ3622-2222202-2-2-2-200002-2-222002-2-22-2-2000000002-22000000-2-2220000-22-2200000000002-200000
χ3744444444-144-1-1-1-1-1-1-144-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1400040000-1-1-1-1-1-1-1-1000000000000000000000
χ3844444444-144-1-1-1-1-1-1-1-4-4-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-4000-4000011111111000000000000000000000
χ394444444-4-144-1-11111-144-1-1-4-4-1-1-1-1-1-1111111114000-40000-1-1-1-11111000000000000000000000
χ404444444-4-144-1-11111-1-4-4-1-1-4-4-1-1-1-1-1-111111111-4000400001111-1-1-1-1000000000000000000000
χ4144-444440-1-4-41155−5−5-144-1-100-111-11155−5−555−5−5-400000000-1-11155−5−5000000000000000000000
χ4244-444440-1-4-41155−5−5-1-4-4-1-100-111-11155−5−555−5−540000000011-1-1−5−555000000000000000000000
χ4344-444440-1-4-411−5−555-144-1-100-111-111−5−555−5−555-400000000-1-111−5−555000000000000000000000
χ4444-444440-1-4-411−5−555-1-4-4-1-100-111-111−5−555−5−55540000000011-1-155−5−5000000000000000000000
χ4544-4−1+5−1−5−1+5−1−5041−51+5-4-40000400−1+5−1−500−1+51−51−5−1−51+51+50000000004-400000000000000−1+51−5−1−51+500000000000000000
χ4644-4−1+5−1−5−1+5−1−5041−51+5-4-40000400−1+5−1−500−1+51−51−5−1−51+51+5000000000-44000000000000001−5−1+51+5−1−500000000000000000
χ4744-4−1−5−1+5−1−5−1+5041+51−5-4-40000400−1−5−1+500−1−51+51+5−1+51−51−50000000004-400000000000000−1−51+5−1+51−500000000000000000
χ4844-4−1−5−1+5−1−5−1+5041+51−5-4-40000400−1−5−1+500−1−51+51+5−1+51−51−5000000000-44000000000000001+5−1−51−5−1+500000000000000000
χ494-4044-4-40400000000-44i−4i4400-400-400000000000000000004i−4i000000000000000000000000000
χ504-4044-4-40400000000-4−4i4i4400-400-40000000000000000000−4i4i000000000000000000000000000
χ514-4044-4-40-1005−5−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ1814i−4i-1-10015−515−5−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18000000000−iii5−i5−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19000000000000000000000
χ524-4044-4-40-1005−5−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ181−4i4i-1-10015−515−5−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18000000000i−i−i5i5ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19000000000000000000000
χ534-4044-4-40-1005−5ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ1814i−4i-1-10015−515−5ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18000000000−iii5−i5ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19000000000000000000000
χ544-4044-4-40-1005−5ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ181−4i4i-1-10015−515−5ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18000000000i−i−i5i5−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19000000000000000000000
χ554-4044-4-40-100−55−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ1814i−4i-1-1001−551−55−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18000000000−ii−i5i5−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19000000000000000000000
χ564-4044-4-40-100−55−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ181−4i4i-1-1001−551−55−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18000000000i−ii5−i5ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19000000000000000000000
χ574-4044-4-40-100−55ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ1814i−4i-1-1001−551−55ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18000000000−ii−i5i5ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19000000000000000000000
χ584-4044-4-40-100−55ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ181−4i4i-1-1001−551−55ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18000000000i−ii5−i5−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19000000000000000000000
χ59888−2+25−2−25−2+25−2−258-2−2+25−2−25-2-2-2-2-2-2-2001−521+52−2+25−2−251−521−521−521+521+521+521−521−521−521−521+521+521+521+5200000000000000000000000000000000000000
χ60888−2+25−2−25−2+25−2−25-8-2−2+25−2−25-2-22222-2001−521+522−252+251−521−521−521+521+521+52−1+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+521−52−2−25−2+251+521+521+521−521−521−521+521+521+521+521−521−521−521−5200000000000000000000000000000000000000
χ62888−2−25−2+25−2−25−2+25-8-2−2−25−2+25-2-22222-2001+521−522+252−251+521+521+521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000000000000000000000000000000
χ6388-8−2+25−2−25−2+25−2−250-22−252+25222525−25−25-2001−521+52001−52−1+52−1+521+52−1−52−1−525−525−52−5+52−5+52−5−52−5−525+525+5200000000000000000000000000000000000000
χ6488-8−2+25−2−25−2+25−2−250-22−252+2522−25−252525-2001−521+52001−52−1+52−1+521+52−1−52−1−52−5+52−5+525−525−525+525+52−5−52−5−5200000000000000000000000000000000000000
χ6588-8−2−25−2+25−2−25−2+250-22+252−25222525−25−25-2001+521−52001+52−1−52−1−521−52−1+52−1+52−5−52−5−525+525+525−525−52−5+52−5+5200000000000000000000000000000000000000
χ6688-8−2−25−2+25−2−25−2+250-22+252−2522−25−252525-2001+521−52001+52−1−52−1−521−52−1+52−1+525+525+52−5−52−5−52−5+52−5+525−525−5200000000000000000000000000000000000000
χ678-80−2+25−2−252−252+250800000000-800−2+25−2−25002−25002+25000000000000000000000000000000000000000000000000
χ688-80−2+25−2−252−252+250-20025−25−2ζ2+2ζ6−2ζ14+2ζ182ζ2−2ζ6+2ζ14−2ζ18−2ζ2−2ζ6+2ζ14+2ζ182ζ2+2ζ6−2ζ14−2ζ182001−521+5200−1+525−52−5+52−1−52−5−525+522ζ2−ζ6+ζ14−2ζ18−2ζ2+ζ6−ζ14+2ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18ζ2+2ζ6−2ζ14−ζ18−ζ2−2ζ6+2ζ14+ζ1800000000000000000000000000000000000000
χ698-80−2+25−2−252−252+250-20025−252ζ2−2ζ6+2ζ14−2ζ18−2ζ2+2ζ6−2ζ14+2ζ182ζ2+2ζ6−2ζ14−2ζ18−2ζ2−2ζ6+2ζ14+2ζ182001−521+5200−1+525−52−5+52−1−52−5−525+52−2ζ2+ζ6−ζ14+2ζ182ζ2−ζ6+ζ14−2ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18−ζ2−2ζ6+2ζ14+ζ18ζ2+2ζ6−2ζ14−ζ1800000000000000000000000000000000000000
χ708-80−2+25−2−252−252+250-200−2525−2ζ2−2ζ6+2ζ14+2ζ182ζ2+2ζ6−2ζ14−2ζ182ζ2−2ζ6+2ζ14−2ζ18−2ζ2+2ζ6−2ζ14+2ζ182001−521+5200−1+52−5+525−52−1−525+52−5−52−ζ6+ζ14ζ6−ζ14−2ζ2+ζ6−ζ14+2ζ182ζ2−ζ6+ζ14−2ζ18ζ2+2ζ6−2ζ14−ζ18−ζ2−2ζ6+2ζ14+ζ18ζ2−ζ18−ζ2+ζ1800000000000000000000000000000000000000
χ718-80−2+25−2−252−252+250-200−25252ζ2+2ζ6−2ζ14−2ζ18−2ζ2−2ζ6+2ζ14+2ζ18−2ζ2+2ζ6−2ζ14+2ζ182ζ2−2ζ6+2ζ14−2ζ182001−521+5200−1+52−5+525−52−1−525+52−5−52ζ6−ζ14−ζ6+ζ142ζ2−ζ6+ζ14−2ζ18−2ζ2+ζ6−ζ14+2ζ18−ζ2−2ζ6+2ζ14+ζ18ζ2+2ζ6−2ζ14−ζ18−ζ2+ζ18ζ2−ζ1800000000000000000000000000000000000000
χ728-80−2−25−2+252+252−250800000000-800−2−25−2+25002+25002−25000000000000000000000000000000000000000000000000
χ738-80−2−25−2+252+252−250-20025−25−2ζ2+2ζ6−2ζ14+2ζ182ζ2−2ζ6+2ζ14−2ζ18−2ζ2−2ζ6+2ζ14+2ζ182ζ2+2ζ6−2ζ14−2ζ182001+521−5200−1−52−5−525+52−1+525−52−5+52−ζ2+ζ18ζ2−ζ18ζ2+2ζ6−2ζ14−ζ18−ζ2−2ζ6+2ζ14+ζ182ζ2−ζ6+ζ14−2ζ18−2ζ2+ζ6−ζ14+2ζ18−ζ6+ζ14ζ6−ζ1400000000000000000000000000000000000000
χ748-80−2−25−2+252+252−250-20025−252ζ2−2ζ6+2ζ14−2ζ18−2ζ2+2ζ6−2ζ14+2ζ182ζ2+2ζ6−2ζ14−2ζ18−2ζ2−2ζ6+2ζ14+2ζ182001+521−5200−1−52−5−525+52−1+525−52−5+52ζ2−ζ18−ζ2+ζ18−ζ2−2ζ6+2ζ14+ζ18ζ2+2ζ6−2ζ14−ζ18−2ζ2+ζ6−ζ14+2ζ182ζ2−ζ6+ζ14−2ζ18ζ6−ζ14−ζ6+ζ1400000000000000000000000000000000000000
χ758-80−2−25−2+252+252−250-200−2525−2ζ2−2ζ6+2ζ14+2ζ182ζ2+2ζ6−2ζ14−2ζ182ζ2−2ζ6+2ζ14−2ζ18−2ζ2+2ζ6−2ζ14+2ζ182001+521−5200−1−525+52−5−52−1+52−5+525−52ζ2+2ζ6−2ζ14−ζ18−ζ2−2ζ6+2ζ14+ζ18ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14−2ζ2+ζ6−ζ14+2ζ182ζ2−ζ6+ζ14−2ζ1800000000000000000000000000000000000000
χ768-80−2−25−2+252+252−250-200−25252ζ2+2ζ6−2ζ14−2ζ18−2ζ2−2ζ6+2ζ14+2ζ18−2ζ2+2ζ6−2ζ14+2ζ182ζ2−2ζ6+2ζ14−2ζ182001+521−5200−1−525+52−5−52−1+52−5+525−52−ζ2−2ζ6+2ζ14+ζ18ζ2+2ζ6−2ζ14−ζ18−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ142ζ2−ζ6+ζ14−2ζ18−2ζ2+ζ6−ζ14+2ζ1800000000000000000000000000000000000000

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