Finite Group Databasebeta

← Group #14512587

Character table — Group #14512587

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size112444444455668888810101010101216161616161620202020202020242424243030323232323232404040404040404040406060606060808080808080
order1243345661022241212202020488882121215153030444666610101020246060606060601212242424242424242424488121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-111111111-1-1111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1
χ31111111111-1-11111111-1ii−i−i1111111-1i−i-1-1-1-11111-1-1111111-1-1iiii−i−i−i−i-1i−ii−i-1-1ii−i−i
χ41111111111-1-11111111-1−i−iii1111111-1−ii-1-1-1-11111-1-1111111-1-1−i−i−i−iiiii-1−ii−ii-1-1−i−iii
χ511111-111111111111-1-111111-1-1-11111-1-1-111111-1-111111-1-1-1-11111111111-1-1-111-1-1-1-1-1-1
χ611111-111111111111-1-11-1-1-1-1-1-1-11111-11111111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ711111-11111-1-111111-1-1-1ii−i−i-1-1-111111−ii-1-1-1-11-1-11-1-111-1-1-1-1-1-1iiii−i−i−i−i1−iii−i11−i−iii
χ811111-11111-1-111111-1-1-1−i−iii-1-1-111111i−i-1-1-1-11-1-11-1-111-1-1-1-1-1-1−i−i−i−iiiii1i−i−ii11ii−i−i
χ9111−1−i32−1+i3211−1−i32−1+i3211111−1−i32−1+i32111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ10111−1−i32−1+i3211−1−i32−1+i3211111−1−i32−1+i321111-1-1-1-11−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321-1-1−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321-1-1-1-1−1−i32−1+i321+i321−i321+i321−i32
χ11111−1−i32−1+i3211−1−i32−1+i321-1-111−1−i32−1+i32111-1ii−i−i1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1i−i1+i321−i321+i321−i321111-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321−i32−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118-1i−ii−i1+i321−i32−ζ14−ζ38−ζ62−ζ86−ζ22−ζ46−ζ94−ζ118ζ14+ζ38+ζ62+ζ86ζ22+ζ46+ζ94+ζ118
χ12111−1−i32−1+i3211−1−i32−1+i321-1-111−1−i32−1+i32111-1−i−iii1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1−ii1+i321−i321+i321−i321111-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321−i32ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118-1−ii−ii1+i321−i32ζ14+ζ38+ζ62+ζ86ζ22+ζ46+ζ94+ζ118−ζ14−ζ38−ζ62−ζ86−ζ22−ζ46−ζ94−ζ118
χ13111−1−i32−1+i32-11−1−i32−1+i3211111−1−i32−1+i321-1-111111-11+i321−i32−1−i32−1+i32−1−i32−1+i32-1-1-1−1−i32−1+i32−1−i32−1+i321-1-1111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1111+i321−i321+i321−i321+i321−i32
χ14111−1−i32−1+i32-11−1−i32−1+i3211111−1−i32−1+i321-1-11-1-1-1-1-11+i321−i32−1−i32−1+i32−1−i32−1+i32-111−1−i32−1+i32−1−i32−1+i321-1-1111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-111-1-11+i321−i32−1−i32−1+i32−1−i32−1+i32
χ15111−1−i32−1+i32-11−1−i32−1+i321-1-111−1−i32−1+i321-1-1-1ii−i−i-11+i321−i32−1−i32−1+i32−1−i32−1+i321−ii1+i321−i321+i321−i321-1-11-1-1−1−i32−1+i321+i321+i321−i321−i321+i321−i32−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ1181−iii−i−1−i32−1+i32ζ14+ζ38+ζ62+ζ86ζ22+ζ46+ζ94+ζ118−ζ14−ζ38−ζ62−ζ86−ζ22−ζ46−ζ94−ζ118
χ16111−1−i32−1+i32-11−1−i32−1+i321-1-111−1−i32−1+i321-1-1-1−i−iii-11+i321−i32−1−i32−1+i32−1−i32−1+i321i−i1+i321−i321+i321−i321-1-11-1-1−1−i32−1+i321+i321+i321−i321−i321+i321−i32ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ1181i−i−ii−1−i32−1+i32−ζ14−ζ38−ζ62−ζ86−ζ22−ζ46−ζ94−ζ118ζ14+ζ38+ζ62+ζ86ζ22+ζ46+ζ94+ζ118
χ17111−1+i32−1−i3211−1+i32−1−i3211111−1+i32−1−i32111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ18111−1+i32−1−i3211−1+i32−1−i3211111−1+i32−1−i321111-1-1-1-11−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321-1-1−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i321-1-1-1-1−1+i32−1−i321−i321+i321−i321+i32
χ19111−1+i32−1−i3211−1+i32−1−i321-1-111−1+i32−1−i32111-1ii−i−i1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1i−i1−i321+i321−i321+i321111-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321+i32−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86-1i−ii−i1−i321+i32−ζ22−ζ46−ζ94−ζ118−ζ14−ζ38−ζ62−ζ86ζ22+ζ46+ζ94+ζ118ζ14+ζ38+ζ62+ζ86
χ20111−1+i32−1−i3211−1+i32−1−i321-1-111−1+i32−1−i32111-1−i−iii1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1−ii1−i321+i321−i321+i321111-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321+i32ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86-1−ii−ii1−i321+i32ζ22+ζ46+ζ94+ζ118ζ14+ζ38+ζ62+ζ86−ζ22−ζ46−ζ94−ζ118−ζ14−ζ38−ζ62−ζ86
χ21111−1+i32−1−i32-11−1+i32−1−i3211111−1+i32−1−i321-1-111111-11−i321+i32−1+i32−1−i32−1+i32−1−i32-1-1-1−1+i32−1−i32−1+i32−1−i321-1-1111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1111−i321+i321−i321+i321−i321+i32
χ22111−1+i32−1−i32-11−1+i32−1−i3211111−1+i32−1−i321-1-11-1-1-1-1-11−i321+i32−1+i32−1−i32−1+i32−1−i32-111−1+i32−1−i32−1+i32−1−i321-1-1111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-111-1-11−i321+i32−1+i32−1−i32−1+i32−1−i32
χ23111−1+i32−1−i32-11−1+i32−1−i321-1-111−1+i32−1−i321-1-1-1ii−i−i-11−i321+i32−1+i32−1−i32−1+i32−1−i321−ii1−i321+i321−i321+i321-1-11-1-1−1+i32−1−i321−i321−i321+i321+i321−i321+i32−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ861−iii−i−1+i32−1−i32ζ22+ζ46+ζ94+ζ118ζ14+ζ38+ζ62+ζ86−ζ22−ζ46−ζ94−ζ118−ζ14−ζ38−ζ62−ζ86
χ24111−1+i32−1−i32-11−1+i32−1−i321-1-111−1+i32−1−i321-1-1-1−i−iii-11−i321+i32−1+i32−1−i32−1+i32−1−i321i−i1−i321+i321−i321+i321-1-11-1-1−1+i32−1−i321−i321−i321+i321+i321−i321+i32ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ861i−i−ii−1+i32−1−i32−ζ22−ζ46−ζ94−ζ118−ζ14−ζ38−ζ62−ζ86ζ22+ζ46+ζ94+ζ118ζ14+ζ38+ζ62+ζ86
χ2522-2220222222-22-2-2-200-2000000022220002222-2002-22-2-20000-2-20000000000000000000
χ2622-22202222-2-2-22-2-2-200200000002222000-2-2-2-2-20022-2-2-20000220000000000000000000
χ2722-2−1−i3−1+i302−1−i3−1+i3222-221+i31−i3-200-20000000−1−i3−1+i3−1−i3−1+i3000−1−i3−1+i3−1−i3−1+i3-2002-221+i31−i300001+i31−i30000000000000000000
χ2822-2−1−i3−1+i302−1−i3−1+i32-2-2-221+i31−i3-20020000000−1−i3−1+i3−1−i3−1+i30001+i31−i31+i31−i3-20022-21+i31−i30000−1−i3−1+i30000000000000000000
χ2922-2−1+i3−1−i302−1+i3−1−i3222-221−i31+i3-200-20000000−1+i3−1−i3−1+i3−1−i3000−1+i3−1−i3−1+i3−1−i3-2002-221−i31+i300001−i31+i30000000000000000000
χ3022-2−1+i3−1−i302−1+i3−1−i32-2-2-221−i31+i3-20020000000−1+i3−1−i3−1+i3−1−i30001−i31+i31−i31+i3-20022-21−i31+i30000−1+i3−1−i30000000000000000000
χ31333003300333-1-10033333333-10000003330000-1-1-1-1-1-10000000000000000-1-1-1-1-1000000
χ32333003300333-1-1003333-3-3-3-3-10000003-3-30000-1-1-1-1-1-10000000000000000-11111000000
χ333330033003-3-3-1-100333-33i3i−3i−3i-1000000-33i−3i0000-1-1-1-11100000000000000001−ii−ii000000
χ343330033003-3-3-1-100333-3−3i−3i3i3i-1000000-3−3i3i0000-1-1-1-11100000000000000001i−ii−i000000
χ3533300-3300333-1-1003-3-3333331000000-3-3-30000-111-1-1-10000000000000000111-1-1000000
χ3633300-3300333-1-1003-3-33-3-3-3-31000000-3330000-111-1-1-100000000000000001-1-111000000
χ3733300-33003-3-3-1-1003-3-3-33i3i−3i−3i10000003−3i3i0000-111-1110000000000000000-1i−i−ii000000
χ3833300-33003-3-3-1-1003-3-3-3−3i−3i3i3i100000033i−3i0000-111-1110000000000000000-1−iii−i000000
χ39444444-144-1004444-1-1-100000444-1-1-1-10000000-1-1-1-100-1-1-1-1-1-1000000000000000000000
χ4044444-4-144-1004444-11100000-4-4-4-1-1-1-10000000-111-100-1-11111000000000000000000000
χ41444−2−2i3−2+2i34-1−2−2i3−2+2i3-10044−2−2i3−2+2i3-1-1-1000004−2−2i3−2+2i31+i321−i321+i321−i320000000-1-1-1-1001+i321−i321+i321+i321−i321−i32000000000000000000000
χ42444−2−2i3−2+2i3-4-1−2−2i3−2+2i3-10044−2−2i3−2+2i3-11100000-42+2i32−2i31+i321−i321+i321−i320000000-111-1001+i321−i32−1−i32−1−i32−1+i32−1+i32000000000000000000000
χ43444−2+2i3−2−2i34-1−2+2i3−2−2i3-10044−2+2i3−2−2i3-1-1-1000004−2+2i3−2−2i31−i321+i321−i321+i320000000-1-1-1-1001−i321+i321−i321−i321+i321+i32000000000000000000000
χ44444−2+2i3−2−2i3-4-1−2+2i3−2−2i3-10044−2+2i3−2−2i3-11100000-42−2i32+2i31−i321+i321−i321+i320000000-111-1001−i321+i32−1+i32−1+i32−1−i32−1−i32000000000000000000000
χ4544-4440-144-100-44-4-41−5500000000-1-1-1-100000001−55-10011−55−55000000000000000000000
χ4644-4440-144-100-44-4-415−500000000-1-1-1-1000000015−5-100115−55−5000000000000000000000
χ4744-4−2−2i3−2+2i30-1−2−2i3−2+2i3-100-442+2i32−2i31−55000000001+i321−i321+i321−i3200000001−55-100−1−i32−1+i32ζ44−ζ68−ζ92+ζ116−ζ44+ζ68+ζ92−ζ116ζ4−ζ28−ζ52+ζ76−ζ4+ζ28+ζ52−ζ76000000000000000000000
χ4844-4−2−2i3−2+2i30-1−2−2i3−2+2i3-100-442+2i32−2i315−5000000001+i321−i321+i321−i32000000015−5-100−1−i32−1+i32−ζ44+ζ68+ζ92−ζ116ζ44−ζ68−ζ92+ζ116−ζ4+ζ28+ζ52−ζ76ζ4−ζ28−ζ52+ζ76000000000000000000000
χ4944-4−2+2i3−2−2i30-1−2+2i3−2−2i3-100-442−2i32+2i31−55000000001−i321+i321−i321+i3200000001−55-100−1+i32−1−i32ζ4−ζ28−ζ52+ζ76−ζ4+ζ28+ζ52−ζ76ζ44−ζ68−ζ92+ζ116−ζ44+ζ68+ζ92−ζ116000000000000000000000
χ5044-4−2+2i3−2−2i30-1−2+2i3−2−2i3-100-442−2i32+2i315−5000000001−i321+i321−i321+i32000000015−5-100−1+i32−1−i32−ζ4+ζ28+ζ52−ζ76ζ4−ζ28−ζ52+ζ76−ζ44+ζ68+ζ92−ζ116ζ44−ζ68−ζ92+ζ116000000000000000000000
χ514-40-2-20422-44-400000000−2i22i2−2i22i2000-2-22200022-2-200000000000000−i2i2−i2i2−i2i2−i2i200000000000
χ524-40-2-20422-44-4000000002i2−2i22i2−2i2000-2-22200022-2-200000000000000i2−i2i2−i2i2−i2i2−i200000000000
χ534-40-2-20422-4-440000000022−22−2222000-2-222000-2-222000000000000002−22−2−22−2200000000000
χ544-40-2-20422-4-4400000000−222222−22000-2-222000-2-22200000000000000−22−222−22−200000000000
χ554-401+i31−i304−1−i3−1+i3-44-400000000−2i22i2−2i22i20001+i31−i3−1−i3−1+i3000−1−i3−1+i31+i31−i300000000000000ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ119−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ119ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ109−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ109ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ119−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ119ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ109−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ10900000000000
χ564-401+i31−i304−1−i3−1+i3-44-4000000002i2−2i22i2−2i20001+i31−i3−1−i3−1+i3000−1−i3−1+i31+i31−i300000000000000−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ119ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ119−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ109ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ109−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ119ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ119−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ109ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ10900000000000
χ574-401+i31−i304−1−i3−1+i3-4-440000000022−22−22220001+i31−i3−1−i3−1+i30001+i31−i3−1−i3−1+i300000000000000−ζ23+ζ29−ζ47+ζ53−ζ71+ζ77+ζ101−ζ119ζ23−ζ29+ζ47−ζ53+ζ71−ζ77−ζ101+ζ119−ζ7+ζ13−ζ31+ζ37+ζ61−ζ79−ζ103+ζ109ζ7−ζ13+ζ31−ζ37−ζ61+ζ79+ζ103−ζ109ζ23−ζ29+ζ47−ζ53+ζ71−ζ77−ζ101+ζ119−ζ23+ζ29−ζ47+ζ53−ζ71+ζ77+ζ101−ζ119ζ7−ζ13+ζ31−ζ37−ζ61+ζ79+ζ103−ζ109−ζ7+ζ13−ζ31+ζ37+ζ61−ζ79−ζ103+ζ10900000000000
χ584-401+i31−i304−1−i3−1+i3-4-4400000000−222222−220001+i31−i3−1−i3−1+i30001+i31−i3−1−i3−1+i300000000000000ζ23−ζ29+ζ47−ζ53+ζ71−ζ77−ζ101+ζ119−ζ23+ζ29−ζ47+ζ53−ζ71+ζ77+ζ101−ζ119ζ7−ζ13+ζ31−ζ37−ζ61+ζ79+ζ103−ζ109−ζ7+ζ13−ζ31+ζ37+ζ61−ζ79−ζ103+ζ109−ζ23+ζ29−ζ47+ζ53−ζ71+ζ77+ζ101−ζ119ζ23−ζ29+ζ47−ζ53+ζ71−ζ77−ζ101+ζ119−ζ7+ζ13−ζ31+ζ37+ζ61−ζ79−ζ103+ζ109ζ7−ζ13+ζ31−ζ37−ζ61+ζ79+ζ103−ζ10900000000000
χ594-401−i31+i304−1+i3−1−i3-44-400000000−2i22i2−2i22i20001−i31+i3−1+i3−1−i3000−1+i3−1−i31−i31+i300000000000000ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ109−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ109ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ119−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ119ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ109−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ109ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ119−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ11900000000000
χ604-401−i31+i304−1+i3−1−i3-44-4000000002i2−2i22i2−2i20001−i31+i3−1+i3−1−i3000−1+i3−1−i31−i31+i300000000000000−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ109ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ109−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ119ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ119−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ109ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ109−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ119ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ11900000000000
χ614-401−i31+i304−1+i3−1−i3-4-440000000022−22−22220001−i31+i3−1+i3−1−i30001−i31+i3−1+i3−1−i300000000000000−ζ7+ζ13−ζ31+ζ37+ζ61−ζ79−ζ103+ζ109ζ7−ζ13+ζ31−ζ37−ζ61+ζ79+ζ103−ζ109−ζ23+ζ29−ζ47+ζ53−ζ71+ζ77+ζ101−ζ119ζ23−ζ29+ζ47−ζ53+ζ71−ζ77−ζ101+ζ119ζ7−ζ13+ζ31−ζ37−ζ61+ζ79+ζ103−ζ109−ζ7+ζ13−ζ31+ζ37+ζ61−ζ79−ζ103+ζ109ζ23−ζ29+ζ47−ζ53+ζ71−ζ77−ζ101+ζ119−ζ23+ζ29−ζ47+ζ53−ζ71+ζ77+ζ101−ζ11900000000000
χ624-401−i31+i304−1+i3−1−i3-4-4400000000−222222−220001−i31+i3−1+i3−1−i30001−i31+i3−1+i3−1−i300000000000000ζ7−ζ13+ζ31−ζ37−ζ61+ζ79+ζ103−ζ109−ζ7+ζ13−ζ31+ζ37+ζ61−ζ79−ζ103+ζ109ζ23−ζ29+ζ47−ζ53+ζ71−ζ77−ζ101+ζ119−ζ23+ζ29−ζ47+ζ53−ζ71+ζ77+ζ101−ζ119−ζ7+ζ13−ζ31+ζ37+ζ61−ζ79−ζ103+ζ109ζ7−ζ13+ζ31−ζ37−ζ61+ζ79+ζ103−ζ109−ζ23+ζ29−ζ47+ζ53−ζ71+ζ77+ζ101−ζ119ζ23−ζ29+ζ47−ζ53+ζ71−ζ77−ζ101+ζ11900000000000
χ6366-60006006662-200-600-6000000000000000000200-22-2000000000000000000000000000
χ6466-60006006-6-62-200-6006000000000000000000200-2-22000000000000000000000000000
χ651212120012-300-300-4-400-3-3-300000-40000000000000111100000000000000000000000000000
χ6612121200-12-300-300-4-400-33300000400000000000001-1-1100000000000000000000000000000
χ671212-12000-300-3004-4003−35350000000000000000000-15−5100000000000000000000000000000
χ681212-12000-300-3004-400335−350000000000000000000-1−55100000000000000000000000000000
χ6916-160-8-80-48840000000000000000022-2-20000000000000000000000000000000000000000
χ7016-1604+4i34−4i30-4−4−4i3−4+4i3400000000000000000−1−i3−1+i31+i31−i30000000000000000000000000000000000000000
χ7116-1604−4i34+4i30-4−4+4i3−4−4i3400000000000000000−1+i3−1−i31−i31+i30000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.