Finite Group Databasebeta

← Group #13104227

Character table — Group #13104227

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79
size1111224444444444444444444444448888888888882020202020202020202020202020202020202020404040404040404040405050100100100100100
order12224455551010101010101010101010102020202020202020510101020202020202020204444202020202020202020202020202020204420202020202020204448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ51111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-111-111-1-1
χ61111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-111
χ71111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-11111-1-1-1-111-1-1-111
χ81111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-11-1-1-1-1111111-111-1-1
χ9222222222222222222222222222222222222222222000000000000000000000000000000-2-2-20000
χ102222-2-22222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000000000-2-220000
χ1122-2-22-22222-2-2-2-222-2-2-2-2222222-2-2-2-22-2-2222-2-222-2-2000000000000000000000000000000000i2−i2i2−i2
χ1222-2-22-22222-2-2-2-222-2-2-2-2222222-2-2-2-22-2-2222-2-222-2-2000000000000000000000000000000000−i2i2−i2i2
χ1322-2-2-222222-2-2-2-222-2-2-2-222-2-2-2-222222-2-22-2-222-2-222000000000000000000000000000000000i2−i2−i2i2
χ1422-2-2-222222-2-2-2-222-2-2-2-222-2-2-2-222222-2-22-2-222-2-222000000000000000000000000000000000−i2i2i2−i2
χ152-22-200222222-2-2-2-222-2-2-2-20000000022-2-200000000002i−2i000000002i2i2i2i−2i−2i−2i−2i0000000000-2200000
χ162-22-200222222-2-2-2-222-2-2-2-20000000022-2-20000000000−2i2i00000000−2i−2i−2i−2i2i2i2i2i0000000000-2200000
χ172-22-200222222-2-2-2-222-2-2-2-20000000022-2-2000000002-2002222-2-2-2-20000000000000000002-200000
χ182-22-200222222-2-2-2-222-2-2-2-20000000022-2-200000000-2200-2-2-2-222220000000000000000002-200000
χ19444444−1+53−523+52−1−5−1+5−1−5−1+5−1−53−523+523−523+523−523+52−1+5−1−53−523−523+523+523−523−523+523+52-1-1-1-1−1+5−1−5−1+5−1−5-1-1-1-12222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000
χ20444444−1+53−523+52−1−5−1+5−1−5−1+5−1−53−523+523−523+523−523+52−1+5−1−53−523−523+523+523−523−523+523+52-1-1-1-1−1+5−1−5−1+5−1−5-1-1-1-1-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000000
χ214444443−52−1−5−1+53+523−523+523−523+52−1−5−1+5−1−5−1+5−1−5−1+53−523+52−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5-1-1-1-13−523+523−523+52-1-1-1-10000000000000000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000
χ224444443−52−1−5−1+53+523−523+523−523+52−1−5−1+5−1−5−1+5−1−5−1+53−523+52−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5-1-1-1-13−523+523−523+52-1-1-1-100000000000000000000-2-21−521−521+521+521−521−521+521+520000000
χ234444443+52−1+5−1−53−523+523−523+523−52−1+5−1−5−1+5−1−5−1+5−1−53+523−52−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5-1-1-1-13+523−523+523−52-1-1-1-10000000000000000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000
χ244444443+52−1+5−1−53−523+523−523+523−52−1+5−1−5−1+5−1−5−1+5−1−53+523−52−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5-1-1-1-13+523−523+523−52-1-1-1-100000000000000000000-2-21+521+521−521−521+521+521−521−520000000
χ25444444−1−53+523−52−1+5−1−5−1+5−1−5−1+53+523−523+523−523+523−52−1−5−1+53+523+523−523−523+523+523−523−52-1-1-1-1−1−5−1+5−1−5−1+5-1-1-1-12222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000
χ26444444−1−53+523−52−1+5−1−5−1+5−1−5−1+53+523−523+523−523+523−52−1−5−1+53+523+523−523−523+523+523−523−52-1-1-1-1−1−5−1+5−1−5−1+5-1-1-1-1-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000000
χ274444-4-4−1+53−523+52−1−5−1+5−1−5−1+5−1−53−523+523−523+523−523+52−1+5−1−5−3+52−3+52−3−52−3−52−3+52−3+52−3−52−3−52-1-1-1-11−51+51−51+5111122-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000000
χ284444-4-4−1+53−523+52−1−5−1+5−1−5−1+5−1−53−523+523−523+523−523+52−1+5−1−5−3+52−3+52−3−52−3−52−3+52−3+52−3−52−3−52-1-1-1-11−51+51−51+51111-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000
χ294444-4-43−52−1−5−1+53+523−523+523−523+52−1−5−1+5−1−5−1+5−1−5−1+53−523+521+51+51−51−51+51+51−51−5-1-1-1-1−3+52−3−52−3+52−3−521111000000000000000000002-2−1+52−1+52−1−52−1−521−521−521+521+520000000
χ304444-4-43−52−1−5−1+53+523−523+523−523+52−1−5−1+5−1−5−1+5−1−5−1+53−523+521+51+51−51−51+51+51−51−5-1-1-1-1−3+52−3−52−3+52−3−52111100000000000000000000-221−521−521+521+52−1+52−1+52−1−52−1−520000000
χ314444-4-43+52−1+5−1−53−523+523−523+523−52−1+5−1−5−1+5−1−5−1+5−1−53+523−521−51−51+51+51−51−51+51+5-1-1-1-1−3−52−3+52−3−52−3+521111000000000000000000002-2−1−52−1−52−1+52−1+521+521+521−521−520000000
χ324444-4-43+52−1+5−1−53−523+523−523+523−52−1+5−1−5−1+5−1−5−1+5−1−53+523−521−51−51+51+51−51−51+51+5-1-1-1-1−3−52−3+52−3−52−3+52111100000000000000000000-221+521+521−521−52−1−52−1−52−1+52−1+520000000
χ334444-4-4−1−53+523−52−1+5−1−5−1+5−1−5−1+53+523−523+523−523+523−52−1−5−1+5−3−52−3−52−3+52−3+52−3−52−3−52−3+52−3+52-1-1-1-11+51−51+51−5111122-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000000
χ344444-4-4−1−53+523−52−1+5−1−5−1+5−1−5−1+53+523−523+523−523+523−52−1−5−1+5−3−52−3−52−3+52−3+52−3−52−3−52−3+52−3+52-1-1-1-11+51−51+51−51111-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000
χ3544-4-44-4−1+53−523+52−1−51−51+51−51+53−523+52−3+52−3−52−3+52−3−52−1+5−1−53−523−523+523+52−3+52−3+52−3−52−3−52-111-1−1+5−1−51−51+5-1-1110000−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000000
χ3644-4-44-4−1+53−523+52−1−51−51+51−51+53−523+52−3+52−3−52−3+52−3−52−1+5−1−53−523−523+523+52−3+52−3+52−3−52−3−52-111-1−1+5−1−51−51+5-1-1110000ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000000
χ3744-4-44-43−52−1−5−1+53+52−3+52−3−52−3+52−3−52−1−5−1+51+51−51+51−53−523+52−1−5−1−5−1+5−1+51+51+51−51−5-111-13−523+52−3+52−3−52-1-1110000000000000000000000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000
χ3844-4-44-43−52−1−5−1+53+52−3+52−3−52−3+52−3−52−1−5−1+51+51−51+51−53−523+52−1−5−1−5−1+5−1+51+51+51−51−5-111-13−523+52−3+52−3−52-1-1110000000000000000000000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000
χ3944-4-44-43+52−1+5−1−53−52−3−52−3+52−3−52−3+52−1+5−1−51−51+51−51+53+523−52−1+5−1+5−1−5−1−51−51−51+51+5-111-13+523−52−3−52−3+52-1-1110000000000000000000000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000
χ4044-4-44-43+52−1+5−1−53−52−3−52−3+52−3−52−3+52−1+5−1−51−51+51−51+53+523−52−1+5−1+5−1−5−1−51−51−51+51+5-111-13+523−52−3−52−3+52-1-1110000000000000000000000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000
χ4144-4-44-4−1−53+523−52−1+51+51−51+51−53+523−52−3−52−3+52−3−52−3+52−1−5−1+53+523+523−523−52−3−52−3−52−3+52−3+52-111-1−1−5−1+51+51−5-1-1110000ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000000000000
χ4244-4-44-4−1−53+523−52−1+51+51−51+51−53+523−52−3−52−3+52−3−52−3+52−1−5−1+53+523+523−523−52−3−52−3−52−3+52−3+52-111-1−1−5−1+51+51−5-1-1110000−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000000
χ4344-4-4-44−1+53−523+52−1−51−51+51−51+53−523+52−3+52−3−52−3+52−3−52−1+5−1−5−3+52−3+52−3−52−3−523−523−523+523+52-111-11−51+5−1+5−1−511-1-10000−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000000
χ4444-4-4-44−1+53−523+52−1−51−51+51−51+53−523+52−3+52−3−52−3+52−3−52−1+5−1−5−3+52−3+52−3−52−3−523−523−523+523+52-111-11−51+5−1+5−1−511-1-10000ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000000
χ4544-4-4-443−52−1−5−1+53+52−3+52−3−52−3+52−3−52−1−5−1+51+51−51+51−53−523+521+51+51−51−5−1−5−1−5−1+5−1+5-111-1−3+52−3−523−523+5211-1-10000000000000000000000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000
χ4644-4-4-443−52−1−5−1+53+52−3+52−3−52−3+52−3−52−1−5−1+51+51−51+51−53−523+521+51+51−51−5−1−5−1−5−1+5−1+5-111-1−3+52−3−523−523+5211-1-10000000000000000000000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000
χ4744-4-4-443+52−1+5−1−53−52−3−52−3+52−3−52−3+52−1+5−1−51−51+51−51+53+523−521−51−51+51+5−1+5−1+5−1−5−1−5-111-1−3−52−3+523+523−5211-1-10000000000000000000000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000
χ4844-4-4-443+52−1+5−1−53−52−3−52−3+52−3−52−3+52−1+5−1−51−51+51−51+53+523−521−51−51+51+5−1+5−1+5−1−5−1−5-111-1−3−52−3+523+523−5211-1-10000000000000000000000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000
χ4944-4-4-44−1−53+523−52−1+51+51−51+51−53+523−52−3−52−3+52−3−52−3+52−1−5−1+5−3−52−3−52−3+52−3+523+523+523−523−52-111-11+51−5−1−5−1+511-1-10000ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000000
χ5044-4-4-44−1−53+523−52−1+51+51−51+51−53+523−52−3−52−3+52−3−52−3+52−1−5−1+5−3−52−3−52−3+52−3+523+523+523−523−52-111-11+51−5−1−5−1+511-1-10000−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000000000000
χ514-44-400−1+53−523+52−1−5−1+5−1−51−51+5−3+52−3−523−523+52−3+52−3−521−51+53ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38-1-1110000i5−i5i5−i52-22i−2i−1+52−1+52−1−52−1−521−521−521+521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000000000000000
χ524-44-400−1+53−523+52−1−5−1+5−1−51−51+5−3+52−3−523−523+52−3+52−3−521−51+53ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38-1-1110000i5−i5i5−i5-22−2i2i1−521−521+521+52−1+52−1+52−1−52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000000000000000
χ534-44-400−1+53−523+52−1−5−1+5−1−51−51+5−3+52−3−523−523+52−3+52−3−521−51+5−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38-1-1110000−i5i5−i5i52-2−2i2i−1+52−1+52−1−52−1−521−521−521+521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000000000000000
χ544-44-400−1+53−523+52−1−5−1+5−1−51−51+5−3+52−3−523−523+52−3+52−3−521−51+5−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38-1-1110000−i5i5−i5i5-222i−2i1−521−521+521+52−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000000000000000
χ554-44-400−1−53+523−52−1+5−1−5−1+51+51−5−3−52−3+523+523−52−3−52−3+521+51−5−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38-1-1110000i5−i5i5−i52-2−2i2i−1−52−1−52−1+52−1+521+521+521−521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800000000000000000
χ564-44-400−1−53+523−52−1+5−1−5−1+51+51−5−3−52−3+523+523−52−3−52−3+521+51−5−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38-1-1110000i5−i5i5−i5-222i−2i1+521+521−521−52−1−52−1−52−1+52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800000000000000000
χ574-44-400−1−53+523−52−1+5−1−5−1+51+51−5−3−52−3+523+523−52−3−52−3+521+51−52ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38-1-1110000−i5i5−i5i52-22i−2i−1−52−1−52−1+52−1+521+521+521−521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800000000000000000
χ584-44-400−1−53+523−52−1+5−1−5−1+51+51−5−3−52−3+523+523−52−3−52−3+521+51−52ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38-1-1110000−i5i5−i5i5-22−2i2i1+521+521−521−52−1−52−1−52−1+52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800000000000000000
χ594-4-44004444-4-444-4-4-4-444-4-4000000004-44-4000000000000000000000000000000000000000000000
χ604-4-4400−1+53−523+52−1−51−51+5−1+5−1−5−3+52−3−52−3+52−3−523−523+521−51+53ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38-11-110000i5−i5−i5i50000−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ3600000000000000000
χ614-4-4400−1+53−523+52−1−51−51+5−1+5−1−5−3+52−3−52−3+52−3−523−523+521−51+53ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38-11-110000i5−i5−i5i50000ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ3600000000000000000
χ624-4-4400−1+53−523+52−1−51−51+5−1+5−1−5−3+52−3−52−3+52−3−523−523+521−51+5−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38-11-110000−i5i5i5−i50000−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ3600000000000000000
χ634-4-4400−1+53−523+52−1−51−51+5−1+5−1−5−3+52−3−52−3+52−3−523−523+521−51+5−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38-11-110000−i5i5i5−i50000ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ3600000000000000000
χ644-4-4400−1−53+523−52−1+51+51−5−1−5−1+5−3−52−3+52−3−52−3+523+523−521+51−5−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38-11-110000i5−i5−i5i50000ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ2800000000000000000
χ654-4-4400−1−53+523−52−1+51+51−5−1−5−1+5−3−52−3+52−3−52−3+523+523−521+51−5−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38-11-110000i5−i5−i5i50000−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ2800000000000000000
χ664-4-4400−1−53+523−52−1+51+51−5−1−5−1+5−3−52−3+52−3−52−3+523+523−521+51−52ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38-11-110000−i5i5i5−i50000ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ2800000000000000000
χ674-4-4400−1−53+523−52−1+51+51−5−1−5−1+5−3−52−3+52−3−52−3+523+523−521+51−52ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38-11-110000−i5i5i5−i50000−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ2800000000000000000
χ68888888-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-23333-2-2-2-233330000000000000000000000000000000000000
χ698888-8-8-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222233332222-3-3-3-30000000000000000000000000000000000000
χ7088-8-88-8-2-2-2-22222-2-22222-2-2-2-2-2-222223-3-33-2-22233-3-30000000000000000000000000000000000000
χ7188-8-8-88-2-2-2-22222-2-22222-2-22222-2-2-2-23-3-3322-2-2-3-3330000000000000000000000000000000000000
χ728-88-800-2-2-2-2-2-22222-2-222222i5−2i52i5−2i52i5−2i52i5−2i533-3-30000−i5i5−i5i50000000000000000000000000000000000000
χ738-88-800-2-2-2-2-2-22222-2-22222−2i52i5−2i52i5−2i52i5−2i52i533-3-30000i5−i5i5−i50000000000000000000000000000000000000
χ748-88-8003−5−2−25−2+253+53−53+5−3+5−3−52+252−25−2−25−2+252+252−25−3+5−3−500000000-2-222000000000000000000000000000000000000000000000
χ758-88-8003+5−2+25−2−253−53+53−5−3−5−3+52−252+25−2+25−2−252−252+25−3−5−3+500000000-2-222000000000000000000000000000000000000000000000
χ768-8-8800-2-2-2-222-2-22222-2-2222i5−2i52i5−2i5−2i52i5−2i52i53-33-30000−i5i5i5−i50000000000000000000000000000000000000
χ778-8-8800-2-2-2-222-2-22222-2-222−2i52i5−2i52i52i5−2i52i5−2i53-33-30000i5−i5−i5i50000000000000000000000000000000000000
χ788-8-88003−5−2−25−2+253+5−3+5−3−53−53+52+252−252+252−25−2−25−2+25−3+5−3−500000000-22-22000000000000000000000000000000000000000000000
χ798-8-88003+5−2+25−2−253−5−3−5−3+53+53−52−252+252−252+25−2+25−2−25−3−5−3+500000000-22-22000000000000000000000000000000000000000000000

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