Finite Group Databasebeta

← Group #14513402

Character table — Group #14513402

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size112668888121212121126688881212121222412121616161624242424224121216161616242424242241212161616162424242422412121616161624242424551030304040404060606060551030304040404060606060
order1242436121244882242466121244885102010201530606020204040510201020153060602020404010102010203030606020204040101020102030306060202040404444412121212448844444121212124488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111-1-1-1-1111111111-1-1-1-1111111111-1-1-1-1111111111-1-1-1-1111111111-1-1-1-1111111111-1-1-1-1111111111-1-1-1-1111111111-1-1-1-1
χ311-1-1111-1-11-11-111-1-1111-1-11-11-111-1-1111-1-11-11-111-1-1111-1-11-11-111-1-1111-1-11-11-111-1-1111-1-11-11-111-1-1111-1-11-11-111-1-1111-1-11-11-1
χ411-1-1111-1-1-11-1111-1-1111-1-1-11-1111-1-1111-1-1-11-1111-1-1111-1-1-11-1111-1-1111-1-1-11-1111-1-1111-1-1-11-1111-1-1111-1-1-11-1111-1-1111-1-1-11-11
χ522222-1-1-1-1000022222-1-1-1-1000022222-1-1-1-1000022222-1-1-1-1000022222-1-1-1-1000022222-1-1-1-1000022222-1-1-1-1000022222-1-1-1-10000
χ622-2-22-1-111000022-2-22-1-111000022-2-22-1-111000022-2-22-1-111000022-2-22-1-111000022-2-22-1-111000022-2-22-1-111000022-2-22-1-1110000
χ7333-1-1000011-1-1333-1-1000011-1-1333-1-1000011-1-1333-1-1000011-1-1333-1-1000011-1-1333-1-1000011-1-1333-1-1000011-1-1333-1-1000011-1-1
χ8333-1-10000-1-111333-1-10000-1-111333-1-10000-1-111333-1-10000-1-111333-1-10000-1-111333-1-10000-1-111333-1-10000-1-111333-1-10000-1-111
χ933-31-100001-1-1133-31-100001-1-1133-31-100001-1-1133-31-100001-1-1133-31-100001-1-1133-31-100001-1-1133-31-100001-1-1133-31-100001-1-11
χ1033-31-10000-111-133-31-10000-111-133-31-10000-111-133-31-10000-111-133-31-10000-111-133-31-10000-111-133-31-10000-111-133-31-10000-111-1
χ114-40001-13−300004-40001-13−300004-40001-13−300004-40001-13−300004-40001-13−300004-40001-13−300004-40001-13−300004-40001-13−30000
χ124-40001-1−3300004-40001-1−3300004-40001-1−3300004-40001-1−3300004-40001-1−3300004-40001-1−3300004-40001-1−3300004-40001-1−330000
χ134-4000-220000004-4000-220000004-4000-220000004-4000-220000004-4000-220000004-4000-220000004-4000-220000004-4000-22000000
χ14111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ15111111111-1-1-1-1111111111-1-1-1-1111111111-1-1-1-1111111111-1-1-1-1111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111
χ1611-1-1111-1-11-11-111-1-1111-1-11-11-111-1-1111-1-11-11-111-1-1111-1-11-11-111-1-1111-1-11-11-111-1-1111-1-11-11-1-1-111-1-1-111-11-11-1-111-1-1-111-11-11
χ1711-1-1111-1-1-11-1111-1-1111-1-1-11-1111-1-1111-1-1-11-1111-1-1111-1-1-11-1111-1-1111-1-1-11-1111-1-1111-1-1-11-11-1-111-1-1-1111-11-1-1-111-1-1-1111-11-1
χ1822222-1-1-1-1000022222-1-1-1-1000022222-1-1-1-1000022222-1-1-1-1000022222-1-1-1-1000022222-1-1-1-10000-2-2-2-2-211110000-2-2-2-2-211110000
χ1922-2-22-1-111000022-2-22-1-111000022-2-22-1-111000022-2-22-1-111000022-2-22-1-111000022-2-22-1-1110000-2-222-211-1-10000-2-222-211-1-10000
χ20333-1-1000011-1-1333-1-1000011-1-1333-1-1000011-1-1333-1-1000011-1-1333-1-1000011-1-1333-1-1000011-1-1-3-3-3110000-1-111-3-3-3110000-1-111
χ21333-1-10000-1-111333-1-10000-1-111333-1-10000-1-111333-1-10000-1-111333-1-10000-1-111333-1-10000-1-111-3-3-311000011-1-1-3-3-311000011-1-1
χ2233-31-100001-1-1133-31-100001-1-1133-31-100001-1-1133-31-100001-1-1133-31-100001-1-1133-31-100001-1-11-3-33-110000-111-1-3-33-110000-111-1
χ2333-31-10000-111-133-31-10000-111-133-31-10000-111-133-31-10000-111-133-31-10000-111-133-31-10000-111-1-3-33-1100001-1-11-3-33-1100001-1-11
χ244-40001-13−300004-40001-13−300004-40001-13−300004-40001-13−300004-40001-13−300004-40001-13−30000-44000-11−330000-44000-11−330000
χ254-40001-1−3300004-40001-1−3300004-40001-1−3300004-40001-1−3300004-40001-1−3300004-40001-1−330000-44000-113−30000-44000-113−30000
χ264-4000-220000004-4000-220000004-4000-220000004-4000-220000004-4000-220000004-4000-22000000-440002-2000000-440002-2000000
χ271111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i
χ28111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−iiiii
χ2911-1-1111-1-11-11-1-1-111-1-1-111-11-1111-1-1111-1-11-11-111-1-1111-1-11-11-1-1-111-1-1-111-11-11-1-111-1-1-111-11-11ii−i−iiii−i−ii−ii−i−i−iii−i−i−iii−ii−ii
χ3011-1-1111-1-1-11-11-1-111-1-1-1111-11-111-1-1111-1-1-11-1111-1-1111-1-1-11-11-1-111-1-1-1111-11-1-1-111-1-1-1111-11-1ii−i−iiii−i−i−ii−ii−i−iii−i−i−iiii−ii−i
χ3122222-1-1-1-10000-2-2-2-2-21111000022222-1-1-1-1000022222-1-1-1-10000-2-2-2-2-211110000-2-2-2-2-2111100002i2i2i2i2i−i−i−i−i0000−2i−2i−2i−2i−2iiiii0000
χ3222-2-22-1-1110000-2-222-211-1-1000022-2-22-1-111000022-2-22-1-1110000-2-222-211-1-10000-2-222-211-1-100002i2i−2i−2i2i−i−iii0000−2i−2i2i2i−2iii−i−i0000
χ33333-1-1000011-1-1-3-3-3110000-1-111333-1-1000011-1-1333-1-1000011-1-1-3-3-3110000-1-111-3-3-3110000-1-1113i3i3i−i−i0000ii−i−i−3i−3i−3iii0000−i−iii
χ34333-1-10000-1-111-3-3-311000011-1-1333-1-10000-1-111333-1-10000-1-111-3-3-311000011-1-1-3-3-311000011-1-13i3i3i−i−i0000−i−iii−3i−3i−3iii0000ii−i−i
χ3533-31-100001-1-11-3-33-110000-111-133-31-100001-1-1133-31-100001-1-11-3-33-110000-111-1-3-33-110000-111-13i3i−3ii−i0000i−i−ii−3i−3i3i−ii0000−iii−i
χ3633-31-10000-111-1-3-33-1100001-1-1133-31-10000-111-133-31-10000-111-1-3-33-1100001-1-11-3-33-1100001-1-113i3i−3ii−i0000−iii−i−3i−3i3i−ii0000i−i−ii
χ374-40001-13−30000-44000-11−3300004-40001-13−300004-40001-13−30000-44000-11−330000-44000-11−3300004i−4i000i−ii3−i30000−4i4i000−ii−i3i30000
χ384-40001-1−330000-44000-113−300004-40001-1−3300004-40001-1−330000-44000-113−30000-44000-113−300004i−4i000i−i−i3i30000−4i4i000−iii3−i30000
χ394-4000-22000000-440002-20000004-4000-220000004-4000-22000000-440002-2000000-440002-20000004i−4i000−2i2i000000−4i4i0002i−2i000000
χ401111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiii
χ41111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−i−iiiiiiiiiiiiii−i−i−i−i
χ4211-1-1111-1-11-11-1-1-111-1-1-111-11-1111-1-1111-1-11-11-111-1-1111-1-11-11-1-1-111-1-1-111-11-11-1-111-1-1-111-11-11−i−iii−i−i−iii−ii−iiii−i−iiii−i−ii−ii−i
χ4311-1-1111-1-1-11-11-1-111-1-1-1111-11-111-1-1111-1-1-11-1111-1-1111-1-1-11-11-1-111-1-1-1111-11-1-1-111-1-1-1111-11-1−i−iii−i−i−iiii−ii−iii−i−iiii−i−i−ii−ii
χ4422222-1-1-1-10000-2-2-2-2-21111000022222-1-1-1-1000022222-1-1-1-10000-2-2-2-2-211110000-2-2-2-2-211110000−2i−2i−2i−2i−2iiiii00002i2i2i2i2i−i−i−i−i0000
χ4522-2-22-1-1110000-2-222-211-1-1000022-2-22-1-111000022-2-22-1-1110000-2-222-211-1-10000-2-222-211-1-10000−2i−2i2i2i−2iii−i−i00002i2i−2i−2i2i−i−iii0000
χ46333-1-1000011-1-1-3-3-3110000-1-111333-1-1000011-1-1333-1-1000011-1-1-3-3-3110000-1-111-3-3-3110000-1-111−3i−3i−3iii0000−i−iii3i3i3i−i−i0000ii−i−i
χ47333-1-10000-1-111-3-3-311000011-1-1333-1-10000-1-111333-1-10000-1-111-3-3-311000011-1-1-3-3-311000011-1-1−3i−3i−3iii0000ii−i−i3i3i3i−i−i0000−i−iii
χ4833-31-100001-1-11-3-33-110000-111-133-31-100001-1-1133-31-100001-1-11-3-33-110000-111-1-3-33-110000-111-1−3i−3i3i−ii0000−iii−i3i3i−3ii−i0000i−i−ii
χ4933-31-10000-111-1-3-33-1100001-1-1133-31-10000-111-133-31-10000-111-1-3-33-1100001-1-11-3-33-1100001-1-11−3i−3i3i−ii0000i−i−ii3i3i−3ii−i0000−iii−i
χ504-40001-13−30000-44000-11−3300004-40001-13−300004-40001-13−30000-44000-11−330000-44000-11−330000−4i4i000−ii−i3i300004i−4i000i−ii3−i30000
χ514-40001-1−330000-44000-113−300004-40001-1−3300004-40001-1−330000-44000-113−30000-44000-113−30000−4i4i000−iii3−i300004i−4i000i−i−i3i30000
χ524-4000-22000000-440002-20000004-4000-220000004-4000-22000000-440002-2000000-440002-2000000−4i4i0002i−2i0000004i−4i000−2i2i000000
χ5322222222222222222222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200000000000000000000000000
χ54222222222-2-2-2-2222222222-2-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+5200000000000000000000000000
χ5522-2-2222-2-22-22-222-2-2222-2-22-22-2−1+52−1+521−521−52−1+52−1+52−1+521−521−52−1+521−52−1+521−52−1−52−1−521+521+52−1−52−1−52−1−521+521+52−1−521+52−1−521+52−1+52−1+521−521−52−1+52−1+52−1+521−521−52−1+521−52−1+521−52−1−52−1−521+521+52−1−52−1−52−1−521+521+52−1−521+52−1−521+5200000000000000000000000000
χ5622-2-2222-2-2-22-2222-2-2222-2-2-22-22−1+52−1+521−521−52−1+52−1+52−1+521−521−521−52−1+521−52−1+52−1−52−1−521+521+52−1−52−1−52−1−521+521+521+52−1−521+52−1−52−1+52−1+521−521−52−1+52−1+52−1+521−521−521−52−1+521−52−1+52−1−52−1−521+521+52−1−52−1−52−1−521+521+521+52−1−521+52−1−5200000000000000000000000000
χ5744444-2-2-2-2000044444-2-2-2-20000−1+5−1+5−1+5−1+5−1+51−521−521−521−520000−1−5−1−5−1−5−1−5−1−51+521+521+521+520000−1+5−1+5−1+5−1+5−1+51−521−521−521−520000−1−5−1−5−1−5−1−5−1−51+521+521+521+52000000000000000000000000000000
χ5844-4-44-2-222000044-4-44-2-2220000−1+5−1+51−51−5−1+51−521−52−1+52−1+520000−1−5−1−51+51+5−1−51+521+52−1−52−1−520000−1+5−1+51−51−5−1+51−521−52−1+52−1+520000−1−5−1−51+51+5−1−51+521+52−1−52−1−52000000000000000000000000000000
χ59666-2-2000022-2-2666-2-2000022-2-2−3+352−3+352−3+3521−521−520000−1+52−1+521−521−52−3−352−3−352−3−3521+521+520000−1−52−1−521+521+52−3+352−3+352−3+3521−521−520000−1+52−1+521−521−52−3−352−3−352−3−3521+521+520000−1−52−1−521+521+5200000000000000000000000000
χ60666-2-20000-2-222666-2-20000-2-222−3+352−3+352−3+3521−521−5200001−521−52−1+52−1+52−3−352−3−352−3−3521+521+5200001+521+52−1−52−1−52−3+352−3+352−3+3521−521−5200001−521−52−1+52−1+52−3−352−3−352−3−3521+521+5200001+521+52−1−52−1−5200000000000000000000000000
χ6166-62-200002-2-2266-62-200002-2-22−3+352−3+3523−352−1+521−520000−1+521−521−52−1+52−3−352−3−3523+352−1−521+520000−1−521+521+52−1−52−3+352−3+3523−352−1+521−520000−1+521−521−52−1+52−3−352−3−3523+352−1−521+520000−1−521+521+52−1−5200000000000000000000000000
χ6266-62-20000-222-266-62-20000-222-2−3+352−3+3523−352−1+521−5200001−52−1+52−1+521−52−3−352−3−3523+352−1−521+5200001+52−1−52−1−521+52−3+352−3+3523−352−1+521−5200001−52−1+52−1+521−52−3−352−3−3523+352−1−521+5200001+52−1−52−1−521+5200000000000000000000000000
χ638-80002-223−2300008-80002-223−230000−2+252−25000−1+521−52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ470000−2−252+25000−1−521+52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ590000−2+252−25000−1+521−52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ470000−2−252+25000−1−521+52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59000000000000000000000000000000
χ648-80002-2−232300008-80002-2−23230000−2+252−25000−1+521−52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ470000−2−252+25000−1−521+52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ590000−2+252−25000−1+521−52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ470000−2−252+25000−1−521+52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59000000000000000000000000000000
χ658-8000-440000008-8000-44000000−2+252−250001−5−1+5000000−2−252+250001+5−1−5000000−2+252−250001−5−1+5000000−2−252+250001+5−1−500000000000000000000000000000000
χ6622222222222222222222222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5200000000000000000000000000
χ67222222222-2-2-2-2222222222-2-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−5200000000000000000000000000
χ6822-2-2222-2-22-22-222-2-2222-2-22-22-2−1−52−1−521+521+52−1−52−1−52−1−521+521+52−1−521+52−1−521+52−1+52−1+521−521−52−1+52−1+52−1+521−521−52−1+521−52−1+521−52−1−52−1−521+521+52−1−52−1−52−1−521+521+52−1−521+52−1−521+52−1+52−1+521−521−52−1+52−1+52−1+521−521−52−1+521−52−1+521−5200000000000000000000000000
χ6922-2-2222-2-2-22-2222-2-2222-2-2-22-22−1−52−1−521+521+52−1−52−1−52−1−521+521+521+52−1−521+52−1−52−1+52−1+521−521−52−1+52−1+52−1+521−521−521−52−1+521−52−1+52−1−52−1−521+521+52−1−52−1−52−1−521+521+521+52−1−521+52−1−52−1+52−1+521−521−52−1+52−1+52−1+521−521−521−52−1+521−52−1+5200000000000000000000000000
χ7044444-2-2-2-2000044444-2-2-2-20000−1−5−1−5−1−5−1−5−1−51+521+521+521+520000−1+5−1+5−1+5−1+5−1+51−521−521−521−520000−1−5−1−5−1−5−1−5−1−51+521+521+521+520000−1+5−1+5−1+5−1+5−1+51−521−521−521−52000000000000000000000000000000
χ7144-4-44-2-222000044-4-44-2-2220000−1−5−1−51+51+5−1−51+521+52−1−52−1−520000−1+5−1+51−51−5−1+51−521−52−1+52−1+520000−1−5−1−51+51+5−1−51+521+52−1−52−1−520000−1+5−1+51−51−5−1+51−521−52−1+52−1+52000000000000000000000000000000
χ72666-2-2000022-2-2666-2-2000022-2-2−3−352−3−352−3−3521+521+520000−1−52−1−521+521+52−3+352−3+352−3+3521−521−520000−1+52−1+521−521−52−3−352−3−352−3−3521+521+520000−1−52−1−521+521+52−3+352−3+352−3+3521−521−520000−1+52−1+521−521−5200000000000000000000000000
χ73666-2-20000-2-222666-2-20000-2-222−3−352−3−352−3−3521+521+5200001+521+52−1−52−1−52−3+352−3+352−3+3521−521−5200001−521−52−1+52−1+52−3−352−3−352−3−3521+521+5200001+521+52−1−52−1−52−3+352−3+352−3+3521−521−5200001−521−52−1+52−1+5200000000000000000000000000
χ7466-62-200002-2-2266-62-200002-2-22−3−352−3−3523+352−1−521+520000−1−521+521+52−1−52−3+352−3+3523−352−1+521−520000−1+521−521−52−1+52−3−352−3−3523+352−1−521+520000−1−521+521+52−1−52−3+352−3+3523−352−1+521−520000−1+521−521−52−1+5200000000000000000000000000
χ7566-62-20000-222-266-62-20000-222-2−3−352−3−3523+352−1−521+5200001+52−1−52−1−521+52−3+352−3+3523−352−1+521−5200001−52−1+52−1+521−52−3−352−3−3523+352−1−521+5200001+52−1−52−1−521+52−3+352−3+3523−352−1+521−5200001−52−1+52−1+521−5200000000000000000000000000
χ768-80002-223−2300008-80002-223−230000−2−252+25000−1−521+52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ590000−2+252−25000−1+521−52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ470000−2−252+25000−1−521+52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ590000−2+252−25000−1+521−52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47000000000000000000000000000000
χ778-80002-2−232300008-80002-2−23230000−2−252+25000−1−521+52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ590000−2+252−25000−1+521−52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ470000−2−252+25000−1−521+52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ590000−2+252−25000−1+521−52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47000000000000000000000000000000
χ788-8000-440000008-8000-44000000−2−252+250001+5−1−5000000−2+252−250001−5−1+5000000−2−252+250001+5−1−5000000−2+252−250001−5−1+500000000000000000000000000000000
χ792222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521+521+521+521+521+5200000000000000000000000000
χ80222222222-2-2-2-2-2-2-2-2-2-2-2-2-22222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521−521−521−521−521−521−521−521−521−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521+52−1−52−1−52−1−52−1−5200000000000000000000000000
χ8122-2-2222-2-22-22-2-2-222-2-2-222-22-22−1+52−1+521−521−52−1+52−1+52−1+521−521−52−1+521−52−1+521−52−1−52−1−521+521+52−1−52−1−52−1−521+521+52−1−521+52−1−521+521−521−52−1+52−1+521−521−521−52−1+52−1+521−52−1+521−52−1+521+521+52−1−52−1−521+521+521+52−1−52−1−521+52−1−521+52−1−5200000000000000000000000000
χ8222-2-2222-2-2-22-22-2-222-2-2-2222-22-2−1+52−1+521−521−52−1+52−1+52−1+521−521−521−52−1+521−52−1+52−1−52−1−521+521+52−1−52−1−52−1−521+521+521+52−1−521+52−1−521−521−52−1+52−1+521−521−521−52−1+52−1+52−1+521−52−1+521−521+521+52−1−52−1−521+521+521+52−1−52−1−52−1−521+52−1−521+5200000000000000000000000000
χ8344444-2-2-2-20000-4-4-4-4-422220000−1+5−1+5−1+5−1+5−1+51−521−521−521−520000−1−5−1−5−1−5−1−5−1−51+521+521+521+5200001−51−51−51−51−5−1+52−1+52−1+52−1+5200001+51+51+51+51+5−1−52−1−52−1−52−1−52000000000000000000000000000000
χ8444-4-44-2-2220000-4-444-422-2-20000−1+5−1+51−51−5−1+51−521−52−1+52−1+520000−1−5−1−51+51+5−1−51+521+52−1−52−1−5200001−51−5−1+5−1+51−5−1+52−1+521−521−5200001+51+5−1−5−1−51+5−1−52−1−521+521+52000000000000000000000000000000
χ85666-2-2000022-2-2-6-6-6220000-2-222−3+352−3+352−3+3521−521−520000−1+52−1+521−521−52−3−352−3−352−3−3521+521+520000−1−52−1−521+521+523−3523−3523−352−1+52−1+5200001−521−52−1+52−1+523+3523+3523+352−1−52−1−5200001+521+52−1−52−1−5200000000000000000000000000
χ86666-2-20000-2-222-6-6-622000022-2-2−3+352−3+352−3+3521−521−5200001−521−52−1+52−1+52−3−352−3−352−3−3521+521+5200001+521+52−1−52−1−523−3523−3523−352−1+52−1+520000−1+52−1+521−521−523+3523+3523+352−1−52−1−520000−1−52−1−521+521+5200000000000000000000000000
χ8766-62-200002-2-22-6-66-220000-222-2−3+352−3+3523−352−1+521−520000−1+521−521−52−1+52−3−352−3−3523+352−1−521+520000−1−521+521+52−1−523−3523−352−3+3521−52−1+5200001−52−1+52−1+521−523+3523+352−3−3521+52−1−5200001+52−1−52−1−521+5200000000000000000000000000
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χ898-80002-223−230000-88000-22−23230000−2+252−25000−1+521−52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ470000−2−252+25000−1−521+52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ5900002−25−2+250001−52−1+52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ4700002+25−2−250001+52−1−52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59000000000000000000000000000000
χ908-80002-2−23230000-88000-2223−230000−2+252−25000−1+521−52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ470000−2−252+25000−1−521+52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ5900002−25−2+250001−52−1+52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ4700002+25−2−250001+52−1−52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59000000000000000000000000000000
χ918-8000-44000000-880004-4000000−2+252−250001−5−1+5000000−2−252+250001+5−1−50000002−25−2+25000−1+51−50000002+25−2−25000−1−51+500000000000000000000000000000000
χ922222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521−521−521−521−521−5200000000000000000000000000
χ93222222222-2-2-2-2-2-2-2-2-2-2-2-2-22222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521+521+521+521+521+521+521+521+521+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521−52−1+52−1+52−1+52−1+5200000000000000000000000000
χ9422-2-2222-2-22-22-2-2-222-2-2-222-22-22−1−52−1−521+521+52−1−52−1−52−1−521+521+52−1−521+52−1−521+52−1+52−1+521−521−52−1+52−1+52−1+521−521−52−1+521−52−1+521−521+521+52−1−52−1−521+521+521+52−1−52−1−521+52−1−521+52−1−521−521−52−1+52−1+521−521−521−52−1+52−1+521−52−1+521−52−1+5200000000000000000000000000
χ9522-2-2222-2-2-22-22-2-222-2-2-2222-22-2−1−52−1−521+521+52−1−52−1−52−1−521+521+521+52−1−521+52−1−52−1+52−1+521−521−52−1+52−1+52−1+521−521−521−52−1+521−52−1+521+521+52−1−52−1−521+521+521+52−1−52−1−52−1−521+52−1−521+521−521−52−1+52−1+521−521−521−52−1+52−1+52−1+521−52−1+521−5200000000000000000000000000
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χ9744-4-44-2-2220000-4-444-422-2-20000−1−5−1−51+51+5−1−51+521+52−1−52−1−520000−1+5−1+51−51−5−1+51−521−52−1+52−1+5200001+51+5−1−5−1−51+5−1−52−1−521+521+5200001−51−5−1+5−1+51−5−1+52−1+521−521−52000000000000000000000000000000
χ98666-2-2000022-2-2-6-6-6220000-2-222−3−352−3−352−3−3521+521+520000−1−52−1−521+521+52−3+352−3+352−3+3521−521−520000−1+52−1+521−521−523+3523+3523+352−1−52−1−5200001+521+52−1−52−1−523−3523−3523−352−1+52−1+5200001−521−52−1+52−1+5200000000000000000000000000
χ99666-2-20000-2-222-6-6-622000022-2-2−3−352−3−352−3−3521+521+5200001+521+52−1−52−1−52−3+352−3+352−3+3521−521−5200001−521−52−1+52−1+523+3523+3523+352−1−52−1−520000−1−52−1−521+521+523−3523−3523−352−1+52−1+520000−1+52−1+521−521−5200000000000000000000000000
χ10066-62-200002-2-22-6-66-220000-222-2−3−352−3−3523+352−1−521+520000−1−521+521+52−1−52−3+352−3+3523−352−1+521−520000−1+521−521−52−1+523+3523+352−3−3521+52−1−5200001+52−1−52−1−521+523−3523−352−3+3521−52−1+5200001−52−1+52−1+521−5200000000000000000000000000
χ10166-62-20000-222-2-6-66-2200002-2-22−3−352−3−3523+352−1−521+5200001+52−1−52−1−521+52−3+352−3+3523−352−1+521−5200001−52−1+52−1+521−523+3523+352−3−3521+52−1−520000−1−521+521+52−1−523−3523−352−3+3521−52−1+520000−1+521−521−52−1+5200000000000000000000000000
χ1028-80002-223−230000-88000-22−23230000−2−252+25000−1−521+52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ590000−2+252−25000−1+521−52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ4700002+25−2−250001+52−1−52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ5900002−25−2+250001−52−1+52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47000000000000000000000000000000
χ1038-80002-2−23230000-88000-2223−230000−2−252+25000−1−521+52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ590000−2+252−25000−1+521−52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ4700002+25−2−250001+52−1−52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ5900002−25−2+250001−52−1+52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47000000000000000000000000000000
χ1048-8000-44000000-880004-4000000−2−252+250001+5−1−5000000−2+252−250001−5−1+50000002+25−2−25000−1−51+50000002−25−2+25000−1+51−500000000000000000000000000000000

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