Finite Group Databasebeta

← Group #13104277

Character table — Group #13104277

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79
size1111224444444444444444444444448888888888882020202020202020202020202020202020202020404040404040404040405050100100100100100
order12224455551010101010101010101010102020202020202020510101020202020202020202244101010101010101020202020202020202410101010202020204428888
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
χ1122-2-22i−2i22222222-2-2-2-2-2-2-2-22i2i2i2i−2i−2i−2i−2i22-2-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000002−2i2−i2
χ1222-2-22i−2i22222222-2-2-2-2-2-2-2-22i2i2i2i−2i−2i−2i−2i22-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000−22−i2i2
χ1322-2-2−2i2i22222222-2-2-2-2-2-2-2-2−2i−2i−2i−2i2i2i2i2i22-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000002−2−i2i2
χ1422-2-2−2i2i22222222-2-2-2-2-2-2-2-2−2i−2i−2i−2i2i2i2i2i22-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000−22i2−i2
χ152-2-22002222-2-2-2-2-2-222-2-222000000002-2-2200000000002-2000000002222-2-2-2-200000000002-200000
χ162-2-22002222-2-2-2-2-2-222-2-222000000002-2-220000000000-2200000000-2-2-2-2222200000000002-200000
χ172-2-22002222-2-2-2-2-2-222-2-222000000002-2-22000000002-2002222-2-2-2-2000000000000000000-2200000
χ182-2-22002222-2-2-2-2-2-222-2-222000000002-2-2200000000-2200-2-2-2-22222000000000000000000-2200000
χ19444444−1+53−523+52−1−5−1+53−523+52−1−5−1+5−1−53−523+523−523+52−1+5−1−5−1+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
χ20444444−1+53−523+52−1−5−1+53−523+52−1−5−1+5−1−53−523+523−523+52−1+5−1−5−1+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
χ214444443−52−1−5−1+53+523−52−1−5−1+53+523−523+52−1−5−1+5−1−5−1+53−523+523−523−523+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
χ224444443−52−1−5−1+53+523−52−1−5−1+53+523−523+52−1−5−1+5−1−5−1+53−523+523−523−523+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
χ234444443+52−1+5−1−53−523+52−1+5−1−53−523+523−52−1+5−1−5−1+5−1−53+523−523+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
χ244444443+52−1+5−1−53−523+52−1+5−1−53−523+523−52−1+5−1−5−1+5−1−53+523−523+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
χ25444444−1−53+523−52−1+5−1−53+523−52−1+5−1−5−1+53+523−523+523−52−1−5−1+5−1−5−1−5−1+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
χ26444444−1−53+523−52−1+5−1−53+523−52−1+5−1−5−1+53+523−523+523−52−1−5−1+5−1−5−1−5−1+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
χ274444-4-4−1+53−523+52−1−5−1+53−523+52−1−5−1+5−1−53−523+523−523+52−1+5−1−51−51−51+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
χ284444-4-4−1+53−523+52−1−5−1+53−523+52−1−5−1+5−1−53−523+523−523+52−1+5−1−51−51−51+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
χ294444-4-43−52−1−5−1+53+523−52−1−5−1+53+523−523+52−1−5−1+5−1−5−1+53−523+52−3+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
χ304444-4-43−52−1−5−1+53+523−52−1−5−1+53+523−523+52−1−5−1+5−1−5−1+53−523+52−3+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
χ314444-4-43+52−1+5−1−53−523+52−1+5−1−53−523+523−52−1+5−1−5−1+5−1−53+523−52−3−52−3−52−3+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
χ324444-4-43+52−1+5−1−53−523+52−1+5−1−53−523+523−52−1+5−1−5−1+5−1−53+523−52−3−52−3−52−3+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
χ334444-4-4−1−53+523−52−1+5−1−53+523−52−1+5−1−5−1+53+523−523+523−52−1−5−1+51+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
χ344444-4-4−1−53+523−52−1+5−1−53+523−52−1+5−1−5−1+53+523−523+523−52−1−5−1+51+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
χ3544-4-44i−4i−1+53−523+52−1−5−1+53−523+52−1−51−51+5−3+52−3−52−3+52−3−521−51+5−2ζ22−2ζ38−2ζ22−2ζ38−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ382ζ6+2ζ142ζ6+2ζ14-1-111ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−i−iii0000000000000000000000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ140000000
χ3644-4-44i−4i−1+53−523+52−1−5−1+53−523+52−1−51−51+5−3+52−3−52−3+52−3−521−51+5−2ζ22−2ζ38−2ζ22−2ζ38−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ382ζ6+2ζ142ζ6+2ζ14-1-111ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−i−iii0000000000000000000000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ140000000
χ3744-4-44i−4i3−52−1−5−1+53+523−52−1−5−1+53+52−3+52−3−521+51−51+51−5−3+52−3−52ζ6+ζ14+2ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ14−ζ22−ζ38-1-111−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38−i−iii0000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000000
χ3844-4-44i−4i3−52−1−5−1+53+523−52−1−5−1+53+52−3+52−3−521+51−51+51−5−3+52−3−52ζ6+ζ14+2ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ14−ζ22−ζ38-1-111−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38−i−iii0000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000000
χ3944-4-44i−4i3+52−1+5−1−53−523+52−1+5−1−53−52−3−52−3+521−51+51−51+5−3−52−3+522ζ6+2ζ14+ζ22+ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ38-1-111−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ14−i−iii0000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000000
χ4044-4-44i−4i3+52−1+5−1−53−523+52−1+5−1−53−52−3−52−3+521−51+51−51+5−3−52−3+522ζ6+2ζ14+ζ22+ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ38-1-111−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ14−i−iii0000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000000000000
χ4144-4-44i−4i−1−53+523−52−1+5−1−53+523−52−1+51+51−5−3−52−3+52−3−52−3+521+51−5−2ζ6−2ζ14−2ζ6−2ζ14−2ζ22−2ζ38−2ζ22−2ζ382ζ6+2ζ142ζ6+2ζ142ζ22+2ζ382ζ22+2ζ38-1-1112ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−i−iii0000000000000000000000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ380000000
χ4244-4-44i−4i−1−53+523−52−1+5−1−53+523−52−1+51+51−5−3−52−3+52−3−52−3+521+51−5−2ζ6−2ζ14−2ζ6−2ζ14−2ζ22−2ζ38−2ζ22−2ζ382ζ6+2ζ142ζ6+2ζ142ζ22+2ζ382ζ22+2ζ38-1-1112ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−i−iii0000000000000000000000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ380000000
χ4344-4-4−4i4i−1+53−523+52−1−5−1+53−523+52−1−51−51+5−3+52−3−52−3+52−3−521−51+52ζ22+2ζ382ζ22+2ζ382ζ6+2ζ142ζ6+2ζ14−2ζ22−2ζ38−2ζ22−2ζ38−2ζ6−2ζ14−2ζ6−2ζ14-1-111−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38ii−i−i0000000000000000000000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ140000000
χ4444-4-4−4i4i−1+53−523+52−1−5−1+53−523+52−1−51−51+5−3+52−3−52−3+52−3−521−51+52ζ22+2ζ382ζ22+2ζ382ζ6+2ζ142ζ6+2ζ14−2ζ22−2ζ38−2ζ22−2ζ38−2ζ6−2ζ14−2ζ6−2ζ14-1-111−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38ii−i−i0000000000000000000000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ140000000
χ4544-4-4−4i4i3−52−1−5−1+53+523−52−1−5−1+53+52−3+52−3−521+51−51+51−5−3+52−3−52−ζ6−ζ14−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ382ζ6+2ζ14+ζ22+ζ38-1-1112ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ38ii−i−i0000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000000
χ4644-4-4−4i4i3−52−1−5−1+53+523−52−1−5−1+53+52−3+52−3−521+51−51+51−5−3+52−3−52−ζ6−ζ14−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ382ζ6+2ζ14+ζ22+ζ38-1-1112ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ38ii−i−i0000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000000
χ4744-4-4−4i4i3+52−1+5−1−53−523+52−1+5−1−53−52−3−52−3+521−51+51−51+5−3−52−3+52−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ38-1-1112ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ14ii−i−i0000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000000000000
χ4844-4-4−4i4i3+52−1+5−1−53−523+52−1+5−1−53−52−3−52−3+521−51+51−51+5−3−52−3+52−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ38-1-1112ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ14ii−i−i0000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000000
χ4944-4-4−4i4i−1−53+523−52−1+5−1−53+523−52−1+51+51−5−3−52−3+52−3−52−3+521+51−52ζ6+2ζ142ζ6+2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ6−2ζ14−2ζ6−2ζ14−2ζ22−2ζ38−2ζ22−2ζ38-1-111−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38ii−i−i0000000000000000000000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ380000000
χ5044-4-4−4i4i−1−53+523−52−1+5−1−53+523−52−1+51+51−5−3−52−3+52−3−52−3+521+51−52ζ6+2ζ142ζ6+2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ6−2ζ14−2ζ6−2ζ14−2ζ22−2ζ38−2ζ22−2ζ38-1-111−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38ii−i−i0000000000000000000000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ380000000
χ514-44-4004444-4-4-4-444-4-444-4-4000000004-44-4000000000000000000000000000000000000000000000
χ524-44-4003−52−1−5−1+53+52−3+521+51−5−3−523−523+521+51−5−1−5−1+5−3+52−3−523ζ6+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+3ζ38-11-110000i5−i5i5−i50000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000000
χ534-44-4003−52−1−5−1+53+52−3+521+51−5−3−523−523+521+51−5−1−5−1+5−3+52−3−523ζ6+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+3ζ38-11-110000i5−i5i5−i50000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000000
χ544-44-4003−52−1−5−1+53+52−3+521+51−5−3−523−523+521+51−5−1−5−1+5−3+52−3−52−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38-11-110000−i5i5−i5i50000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000000
χ554-44-4003−52−1−5−1+53+52−3+521+51−5−3−523−523+521+51−5−1−5−1+5−3+52−3−52−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38-11-110000−i5i5−i5i50000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000000
χ564-44-4003+52−1+5−1−53−52−3−521−51+5−3+523+523−521−51+5−1+5−1−5−3−52−3+52−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38-11-110000i5−i5i5−i50000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000000
χ574-44-4003+52−1+5−1−53−52−3−521−51+5−3+523+523−521−51+5−1+5−1−5−3−52−3+52−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38-11-110000i5−i5i5−i50000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000000000000
χ584-44-4003+52−1+5−1−53−52−3−521−51+5−3+523+523−521−51+5−1+5−1−5−3−52−3+522ζ6+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+2ζ38-11-110000−i5i5−i5i50000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000000000000
χ594-44-4003+52−1+5−1−53−52−3−521−51+5−3+523+523−521−51+5−1+5−1−5−3−52−3+522ζ6+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+2ζ38-11-110000−i5i5−i5i50000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000000
χ604-4-44003−52−1−5−1+53+52−3+521+51−5−3−52−3+52−3−52−1−5−1+51+51−53−523+525+52−5−52−5+525−52−5−525+525−52−5+52-111-100005−5−552-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000
χ614-4-44003−52−1−5−1+53+52−3+521+51−5−3−52−3+52−3−52−1−5−1+51+51−53−523+525+52−5−52−5+525−52−5−525+525−52−5+52-111-100005−5−55-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000
χ624-4-44003−52−1−5−1+53+52−3+521+51−5−3−52−3+52−3−52−1−5−1+51+51−53−523+52−5−525+525−52−5+525+52−5−52−5+525−52-111-10000−555−52-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000
χ634-4-44003−52−1−5−1+53+52−3+521+51−5−3−52−3+52−3−52−1−5−1+51+51−53−523+52−5−525+525−52−5+525+52−5−52−5+525−52-111-10000−555−5-222-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000
χ644-4-44003+52−1+5−1−53−52−3−521−51+5−3+52−3−52−3+52−1+5−1−51−51+53+523−525−52−5+52−5−525+52−5+525−525+52−5−52-111-10000−555−52-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000
χ654-4-44003+52−1+5−1−53−52−3−521−51+5−3+52−3−52−3+52−1+5−1−51−51+53+523−525−52−5+52−5−525+52−5+525−525+52−5−52-111-10000−555−5-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000
χ664-4-44003+52−1+5−1−53−52−3−521−51+5−3+52−3−52−3+52−1+5−1−51−51+53+523−52−5+525−525+52−5−525−52−5+52−5−525+52-111-100005−5−552-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000
χ674-4-44003+52−1+5−1−53−52−3−521−51+5−3+52−3−52−3+52−1+5−1−51−51+53+523−52−5+525−525+52−5−525−52−5+52−5−525+52-111-100005−5−55-222-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000
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
χ7088-8-88i−8i-2-2-2-2-2-2-2-222222222−2i−2i−2i−2i2i2i2i2i33-3-3−2i−2i2i2i3i3i−3i−3i0000000000000000000000000000000000000
χ7188-8-8−8i8i-2-2-2-2-2-2-2-2222222222i2i2i2i−2i−2i−2i−2i33-3-32i2i−2i−2i−3i−3i3i3i0000000000000000000000000000000000000
χ728-88-800-2-2-2-22222-2-222-2-2222i5−2i52i5−2i52i5−2i52i5−2i53-33-30000−i5i5−i5i50000000000000000000000000000000000000
χ738-88-800-2-2-2-22222-2-222-2-222−2i52i5−2i52i5−2i52i5−2i52i53-33-30000i5−i5i5−i50000000000000000000000000000000000000
χ748-88-800−2+253−53+5−2−252−25−3+5−3−52+25−2+25−2−25−3+5−3−53−53+52−252+2500000000-22-22000000000000000000000000000000000000000000000
χ758-88-800−2−253+53−5−2+252+25−3−5−3+52−25−2−25−2+25−3−5−3+53+53−52+252−2500000000-22-22000000000000000000000000000000000000000000000
χ768-8-8800-2-2-2-2222222-2-222-2-225−2525−25−2525−25253-3-330000−555−50000000000000000000000000000000000000
χ778-8-8800-2-2-2-2222222-2-222-2-2−2525−252525−2525−253-3-3300005−5−550000000000000000000000000000000000000
χ788-8-8800−2+253−53+5−2−252−25−3+5−3−52+252−252+253−53+5−3+5−3−5−2+25−2−2500000000-222-2000000000000000000000000000000000000000000000
χ798-8-8800−2−253+53−5−2+252+25−3−5−3+52−252+252−253+53−5−3−5−3+5−2−25−2+2500000000-222-2000000000000000000000000000000000000000000000

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