Finite Group Databasebeta

← Group #11753153

Character table — Group #11753153

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222222244444444444444448888888888888888881212121212121212121212122020202020202020242424243030303040406060
order122234455666101010101010241212151520202020303030303030610101220203030303060606060606060602444101010102020202024441212121220202020224461224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ6111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-111111111-11-111111-1-1-1-11111-1-1-1-1
χ7111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-1-1-1-1-11-11-1-1-1-1-11111111111-1-1
χ8111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-11-1111111111-1-1-1-1-1-111
χ911111-1-1111111111111-1-1-111-1-1-1-1111111111-1-1-11111-1-1-1-1-1-1-1-11-1-111111-1-1-1-11-1-11-1-111-1-111-1-1111-1-11
χ1011111-1-1111111111111-1-1-111-1-1-1-1111111111-1-1-11111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-111-111-1-1-1-11111-1-1-111-1
χ1111111-1-1111111111111-1-1-111-1-1-1-1111111111-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-111111-1-11-1-11111-1-111-1-11-11-1
χ1211111-1-1111111111111-1-1-111-1-1-1-1111111111-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-111-111-1-111-1-1-1-111-11-11
χ1311111-1-111111111111-11-1-111-1-1-1-1111111-1-1-1111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-111-1-111-1-111-1-11-1-11
χ1411111-1-111111111111-11-1-111-1-1-1-1111111-1-1-1111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-111-1
χ1511111-1-111111111111-11-1-111-1-1-1-1111111-1-1-1111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-111-1-1-1-111-1-1111-11-1
χ1611111-1-111111111111-11-1-111-1-1-1-1111111-1-1-1111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-111-1-11111-1-1-11-11
χ172222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+52−1−52−1+5200000000
χ182222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−52000000001+521−521+521−5200000000
χ192222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-21+521−52-21+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−522-22-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−5200000000
χ202222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-21+521−52-21+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52-22-221+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+5200000000
χ212222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−5200000000
χ222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+52000000001−521+521−521+5200000000
χ232222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-21−521+52-21−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+522-22-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+5200000000
χ242222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-21−521+52-21−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52-22-221−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−5200000000
χ2522222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522-2-22−1−52−1−52−1+52−1+521+521+521−521−52000000001+521−52−1−52−1+5200000000
χ2622222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-222-21+521+521−521−52−1−52−1−52−1+52−1+5200000000−1−52−1+521+521−5200000000
χ2722222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-21+521−522−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5222-2-2−1−52−1−52−1+52−1+521+521+521−521−5200000000−1−52−1+521+521−5200000000
χ2822222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-21+521−522−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-2-2221+521+521−521−52−1−52−1−52−1+52−1+52000000001+521−52−1−52−1+5200000000
χ2922222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522-2-22−1+52−1+52−1−52−1−521−521−521+521+52000000001−521+52−1+52−1−5200000000
χ3022222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-222-21−521−521+521+52−1+52−1+52−1−52−1−5200000000−1+52−1−521−521+5200000000
χ3122222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-22-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-21−521+522−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5222-2-2−1+52−1+52−1−52−1−521−521−521+521+5200000000−1+52−1−521−521+5200000000
χ3222222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-22-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-21−521+522−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-2-2221−521−521+521+52−1+52−1+52−1−52−1−52000000001−521+52−1+52−1−5200000000
χ332222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-122-122-1-1-1-1-1-1-1-1-1-1-1-10000000000002222-1-1-1-100000000-1-100
χ342222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-122-122-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-21111000000001100
χ352222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-11-2-21-2-21111-1-1-1-111110000000000002-22-2111100000000-1-100
χ362222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-11-2-21-2-21111-1-1-1-11111000000000000-22-22-1-1-1-1000000001100
χ372222-1-2-222-1-1-12222222-211-1-1-2-2-2-2-1-1-1-1-1-1-1221-2-2-1-1-1-1111111110000000000002-2-2211-1-100000000-1100
χ382222-1-2-222-1-1-12222222-211-1-1-2-2-2-2-1-1-1-1-1-1-1221-2-2-1-1-1-111111111000000000000-222-2-1-111000000001-100
χ392222-1-2-222-1-1-1222222-2211-1-1-2-2-2-2-1-1-1-1-1-11-2-2-12211111111-1-1-1-100000000000022-2-2-1-11100000000-1100
χ402222-1-2-222-1-1-1222222-2211-1-1-2-2-2-2-1-1-1-1-1-11-2-2-12211111111-1-1-1-1000000000000-2-22211-1-1000000001-100
χ4122-2-222i−2i22-22-2-2-222-2-2002i−2i222i−2i2i−2i22-2-2-2-200000000002i−2i2i−2i00000000000000000000000000002-22i−2i0000
χ4222-2-222i−2i22-22-2-2-222-2-2002i−2i222i−2i2i−2i22-2-2-2-200000000002i−2i2i−2i0000000000000000000000000000-22−2i2i0000
χ4322-2-22−2i2i22-22-2-2-222-2-200−2i2i22−2i2i−2i2i22-2-2-2-20000000000−2i2i−2i2i00000000000000000000000000002-2−2i2i0000
χ4422-2-22−2i2i22-22-2-2-222-2-200−2i2i22−2i2i−2i2i22-2-2-2-20000000000−2i2i−2i2i0000000000000000000000000000-222i−2i0000
χ454444-244−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+544-2-21+521−52−1−5−1−5−1+5−1+51+521−521+521+521−521−52-2−1−5−1+5-2−1−5−1+51+521+521−521−521+521+521−521−521+521+521−521−5200000000000000000000000000000000
χ464444-244−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5-4-4-2-21+521−52−1−5−1−5−1+5−1+51+521−521+521+521−521−5221+51−521+51−5−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000000000000000
χ474444-244−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−544-2-21−521+52−1+5−1+5−1−5−1−51−521+521−521−521+521+52-2−1+5−1−5-2−1+5−1−51−521−521+521+521−521−521+521+521−521−521+521+5200000000000000000000000000000000
χ484444-244−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−5-4-4-2-21−521+52−1+5−1+5−1−5−1−51−521+521−521−521+521+5221−51+521−51+5−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000000000000000
χ494444-2-4-4−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+54-4221+521−521+51+51−51−51+521−521+521+521−521−52-2−1−5−1+521+51−51+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000000000000000
χ504444-2-4-4−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5-44221+521−521+51+51−51−51+521−521+521+521−521−5221+51−5-2−1−5−1+5−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000000000000000
χ514444-2-4-4−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−54-4221−521+521−51−51+51+51−521+521−521−521+521+52-2−1+5−1−521−51+51−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000000000000000
χ524444-2-4-4−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−5-44221−521+521−51−51+51+51−521+521−521−521+521+5221−51+5-2−1+5−1−5−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000000000000000
χ5344-4-444i−4i−1−5−1+5-44-41+51−5−1−5−1+51+51−5004i−4i−1−5−1+5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−1−5−1+51+51+51−51−50000000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47000000000000000000000000000000000000
χ5444-4-444i−4i−1+5−1−5-44-41−51+5−1+5−1−51−51+5004i−4i−1+5−1−5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−1+5−1−51−51−51+51+50000000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59000000000000000000000000000000000000
χ5544-4-44−4i4i−1−5−1+5-44-41+51−5−1−5−1+51+51−500−4i4i−1−5−1+52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−1−5−1+51+51+51−51−500000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47000000000000000000000000000000000000
χ5644-4-44−4i4i−1+5−1−5-44-41−51+5−1+5−1−51−51+500−4i4i−1+5−1−52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−1+5−1−51−51−51+51+500000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59000000000000000000000000000000000000
χ5744-4-4-24i−4i442-22-4-444-4-400−2i2i-2-24i−4i4i−4i-2-222220000000000−2i2i−2i2i000000000000000000000000000000000000
χ5844-4-4-24i−4i−1−5−1+52-221+51−5−1−5−1+51+51−500−2i2i1+521−52−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ471+521−52−1−52−1−52−1+52−1+52000000ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ4700000000000000000000000000000000
χ5944-4-4-24i−4i−1−5−1+52-221+51−5−1−5−1+51+51−500−2i2i1+521−52−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ471+521−52−1−52−1−52−1+52−1+52000000−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ4700000000000000000000000000000000
χ6044-4-4-24i−4i−1+5−1−52-221−51+5−1+5−1−51−51+500−2i2i1−521+52−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ591−521+52−1+52−1+52−1−52−1−52000000−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ5900000000000000000000000000000000
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χ6444-4-4-2−4i4i−1−5−1+52-221+51−5−1−5−1+51+51−5002i−2i1+521−522ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ471+521−52−1−52−1−52−1+52−1+52000000−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ4700000000000000000000000000000000
χ6544-4-4-2−4i4i−1+5−1−52-221−51+5−1+5−1−51−51+5002i−2i1−521+522ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ591−521+52−1+52−1+52−1−52−1−52000000−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ5900000000000000000000000000000000
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χ684-44-4400−1−5−1+54-4-41+51−51+51−5−1−5−1+50000−1−5−1+500001+51−5−1−51+5−1+51−50000000000000000000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58000000000000000000000000
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χ794-4-44-2004422-244-4-4-4-40000-2-20000222-22-2000000000000000000000000000000000000−2i32i3000000000000
χ804-4-44-2004422-244-4-4-4-40000-2-20000222-22-20000000000000000000000000000000000002i3−2i3000000000000
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χ848-8-88-400−2+25−2−2544-4−2+25−2−252−252+252−252+2500001−51+50000−1+5−1−5−1+51−5−1−51+500000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.