Finite Group Databasebeta

← Group #10624224

Character table — Group #10624224

Order 720.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size11222222222224444444444444444444444444444444444444441515181830303030303030363636366060
order1233455661010121236121212151515151515151520203030303030303030606060606060606060606060606060604422244661212101010101212
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-11-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111
χ51111-1111111-1-111-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-11111-1-11-1
χ61111-1111111-1-111-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-11-1-111-1-111-11
χ71111-1111111-1-111-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1111-1-111-1-1-11
χ81111-1111111-1-111-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-1111-1
χ922222−1−52−1+5222−1−52−1+522222222−1−52−1−52−1−52−1−52−1+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+5200220000000−1−52−1+52−1−52−1+5200
χ1022222−1−52−1+5222−1−52−1+522222222−1−52−1−52−1−52−1−52−1+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+5200-2-200000001+521−521+521−5200
χ1122222−1+52−1−5222−1+52−1−522222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200220000000−1+52−1−52−1+52−1−5200
χ1222222−1+52−1−5222−1+52−1−522222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200-2-200000001−521+521−521+5200
χ132222-2−1−52−1+5222−1−52−1+52-2-222-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52002-20000000−1−52−1+521+521−5200
χ142222-2−1−52−1+5222−1−52−1+52-2-222-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−5200-2200000001+521−52−1−52−1+5200
χ152222-2−1+52−1−5222−1+52−1−52-2-222-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+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+52002-20000000−1+52−1−521−521+5200
χ162222-2−1+52−1−5222−1+52−1−52-2-222-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+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+5200-2200000001−521+52−1+52−1−5200
χ17222-1222-1222-1-1-1-12-1-12-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12200200-1-1-1-1000000
χ18222-1222-1222-1-1-1-12-1-12-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-200-2001111000000
χ19222-1-222-122211-1-1-2112-1-1-12-1-1-1-2-22-1-1-12-1-1-1-2-2111111-2-21111112200-20011-1-1000000
χ20222-1-222-122211-1-1-2112-1-1-12-1-1-1-2-22-1-1-12-1-1-1-2-2111111-2-2111111-2-200200-1-111000000
χ2122-122222-12222-1-1-1-1-1-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1000002200000000-1-1
χ2222-122222-12222-1-1-1-1-1-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-100000-2-20000000011
χ2322-12-2222-122-2-2-1-1111-12-1-1-12-1-1-2-2-12-1-1-12-1-111-2-2111111-2-21111000002-200000000-11
χ2422-12-2222-122-2-2-1-1111-12-1-1-12-1-1-2-2-12-1-1-12-1-111-2-2111111-2-2111100000-22000000001-1
χ252-222022-2-2-2-2002-20002222222200-2-2-2-2-2-2-2-200000000000000002i−2i00000002i−2i000000
χ262-222022-2-2-2-2002-20002222222200-2-2-2-2-2-2-2-20000000000000000−2i2i0000000−2i2i000000
χ272-22-10221-2-2-23−3-1103−32-1-1-12-1-1-100-2111-2111003−333−3−3003−333−3−32i−2i00000−i3i3−ii000000
χ282-22-10221-2-2-23−3-1103−32-1-1-12-1-1-100-2111-2111003−333−3−3003−333−3−3−2i2i00000i3−i3i−i000000
χ292-22-10221-2-2-2−33-110−332-1-1-12-1-1-100-2111-211100−33−3−33300−33−3−3332i−2i00000i3−i3−ii000000
χ302-22-10221-2-2-2−33-110−332-1-1-12-1-1-100-2111-211100−33−3−33300−33−3−333−2i2i00000−i3i3i−i000000
χ31444-24−1−5−1+5-24−1−5−1+5-2-2-2-24-2-2−1−51+521+521+52−1+51−521−521−52−1−5−1+5−1−51+521+521+52−1+51−521−521−52−1−5−1−51+521+521+521+521+521+52−1+5−1+51−521−521−521−521−521−5200000000000000000
χ32444-24−1+5−1−5-24−1+5−1−5-2-2-2-24-2-2−1+51−521−521−52−1−51+521+521+52−1+5−1−5−1+51−521−521−52−1−51+521+521+52−1+5−1+51−521−521−521−521−521−52−1−5−1−51+521+521+521+521+521+5200000000000000000
χ33444-2-4−1−5−1+5-24−1−5−1+522-2-2-422−1−51+521+521+52−1+51−521−521−521+51−5−1−51+521+521+52−1+51−521−521−521+51+5−1−52−1−52−1−52−1−52−1−52−1−521−51−5−1+52−1+52−1+52−1+52−1+52−1+5200000000000000000
χ34444-2-4−1+5−1−5-24−1+5−1−522-2-2-422−1+51−521−521−52−1−51+521+521+521−51+5−1+51−521−521−52−1−51+521+521+521−51−5−1+52−1+52−1+52−1+52−1+52−1+521+51+5−1−52−1−52−1−52−1−52−1−52−1−5200000000000000000
χ3544-244−1−5−1+54-2−1−5−1+544-2-2-2-2-21+52−1−51+521+521−52−1+51−521−52−1−5−1+51+52−1−51+521+521−52−1+51−521−521+521+52−1−5−1−51+521+521+521+521−521−52−1+5−1+51−521−521−521−5200000000000000000
χ3644-244−1+5−1−54-2−1+5−1−544-2-2-2-2-21−52−1+51−521−521+52−1−51+521+52−1+5−1−51−52−1+51−521−521+52−1−51+521+521−521−52−1+5−1+51−521−521−521−521+521+52−1−5−1−51+521+521+521+5200000000000000000
χ3744-24-4−1−5−1+54-2−1−5−1+5-4-4-2-22221+52−1−51+521+521−52−1+51−521−521+51−51+52−1−51+521+521−52−1+51−521−52−1−52−1−521+51+5−1−52−1−52−1−52−1−52−1+52−1+521−51−5−1+52−1+52−1+52−1+5200000000000000000
χ3844-24-4−1+5−1−54-2−1+5−1−5-4-4-2-22221−52−1+51−521−521+52−1−51+521+521−51+51−52−1+51−521−521+52−1−51+521+52−1+52−1+521−51−5−1+52−1+52−1+52−1+52−1−52−1−521+51+5−1−52−1−52−1−52−1−5200000000000000000
χ3944-2-2444-2-244-2-211-211-2-211-2-21144-2-211-2-211-2-2-2-21111-2-2-2-2111100000000000000000
χ4044-2-24−1−5−1+5-2-2−1−5−1+5-2-211-2111+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58−1−5−1+51+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+521+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−521−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ5800000000000000000
χ4144-2-24−1−5−1+5-2-2−1−5−1+5-2-211-2111+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−1−5−1+51+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+521+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−521−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ5800000000000000000
χ4244-2-24−1+5−1−5-2-2−1+5−1−5-2-211-2111−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−1+5−1−51−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−521−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+521+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ4600000000000000000
χ4344-2-24−1+5−1−5-2-2−1+5−1−5-2-211-2111−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−1+5−1−51−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−521−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+521+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ4600000000000000000
χ4444-2-2-444-2-24422112-1-1-2-211-2-211-4-4-2-211-2-2112222-1-1-1-12222-1-1-1-100000000000000000
χ4544-2-2-4−1−5−1+5-2-2−1−5−1+522112-1-11+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+51−51+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58−1−52−1−52−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−1+52−1+52−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ5800000000000000000
χ4644-2-2-4−1−5−1+5-2-2−1−5−1+522112-1-11+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+51−51+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−1−52−1−52−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−1+52−1+52−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ5800000000000000000
χ4744-2-2-4−1+5−1−5-2-2−1+5−1−522112-1-11−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−51+51−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−1+52−1+52−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−1−52−1−52−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ4600000000000000000
χ4844-2-2-4−1+5−1−5-2-2−1+5−1−522112-1-11−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−51+51−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−1+52−1+52−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ4600000000000000000
χ494-4440−1−5−1+5-4-41+51−5004-4000−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+5001+51+51+51+51−51−51−51−5000000000000000000000000000000000
χ504-4440−1+5−1−5-4-41−51+5004-4000−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−5001−51−51−51−51+51+51+51+5000000000000000000000000000000000
χ514-44-20−1−5−1+52-41+51−523−23-22023−23−1−51+521+521+52−1+51−521−521−52001+5−1−52−1−52−1−521−5−1+52−1+52−1+5200−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ5900ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ4700000000000000000
χ524-44-20−1−5−1+52-41+51−5−2323-220−2323−1−51+521+521+52−1+51−521−521−52001+5−1−52−1−52−1−521−5−1+52−1+52−1+5200ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ5900−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ4700000000000000000
χ534-44-20−1+5−1−52-41−51+523−23-22023−23−1+51−521−521−52−1−51+521+521+52001−5−1+52−1+52−1+521+5−1−52−1−52−1−5200ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ4700−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ5900000000000000000
χ544-44-20−1+5−1−52-41−51+5−2323-220−2323−1+51−521−521−52−1−51+521+521+52001−5−1+52−1+52−1+521+5−1−52−1−52−1−5200−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ4700ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ5900000000000000000
χ554-4-24044-42-4-400-22000-24-2-2-24-2-2002-4222-422000000000000000000000000000000000
χ564-4-240−1−5−1+5-421+51−500-220001+52−1−51+521+521−52−1+51−521−5200−1−521+5−1−52−1−52−1+521−5−1+52−1+52ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ5900ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ4700−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ4700000000000000000
χ574-4-240−1−5−1+5-421+51−500-220001+52−1−51+521+521−52−1+51−521−5200−1−521+5−1−52−1−52−1+521−5−1+52−1+52−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ5900−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ4700ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ4700000000000000000
χ584-4-240−1+5−1−5-421−51+500-220001−52−1+51−521−521+52−1−51+521+5200−1+521−5−1+52−1+52−1−521+5−1−52−1−52−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ4700−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ5900−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ5900000000000000000
χ594-4-240−1+5−1−5-421−51+500-220001−52−1+51−521−521+52−1−51+521+5200−1+521−5−1+52−1+52−1−521+5−1−52−1−52ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ4700ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ5900ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ5900000000000000000
χ604-4-2-204422-4-423−231-10−33-2-211-2-2110022-1-122-1-10023−23−3−3330023−23−3−33300000000000000000
χ614-4-2-204422-4-4−23231-103−3-2-211-2-2110022-1-122-1-100−232333−3−300−232333−3−300000000000000000
χ624-4-2-20−1−5−1+5221+51−523−231-10−331+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ5800−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ19+ζ59ζ11−ζ31ζ19−ζ59−ζ11+ζ31−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ23−ζ43−ζ7+ζ47−ζ23+ζ43ζ7−ζ4700000000000000000
χ634-4-2-20−1−5−1+5221+51−523−231-10−331+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ5800−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ31−ζ19+ζ59−ζ11+ζ31ζ19−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ47ζ23−ζ43ζ7−ζ47−ζ23+ζ4300000000000000000
χ644-4-2-20−1−5−1+5221+51−5−23231-103−31+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ5800−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ19−ζ59−ζ11+ζ31−ζ19+ζ59ζ11−ζ31ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ23+ζ43ζ7−ζ47ζ23−ζ43−ζ7+ζ4700000000000000000
χ654-4-2-20−1−5−1+5221+51−5−23231-103−31+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ5800−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ31ζ19−ζ59ζ11−ζ31−ζ19+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ47−ζ23+ζ43−ζ7+ζ47ζ23−ζ4300000000000000000
χ664-4-2-20−1+5−1−5221−51+523−231-10−331−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ4600−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ23−ζ43−ζ7+ζ47−ζ23+ζ43ζ7−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ31−ζ19+ζ59−ζ11+ζ31ζ19−ζ5900000000000000000
χ674-4-2-20−1+5−1−5221−51+523−231-10−331−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ4600−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ47ζ23−ζ43ζ7−ζ47−ζ23+ζ43ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ19+ζ59ζ11−ζ31ζ19−ζ59−ζ11+ζ3100000000000000000
χ684-4-2-20−1+5−1−5221−51+5−23231-103−31−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ4600−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ23+ζ43ζ7−ζ47ζ23−ζ43−ζ7+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ31ζ19−ζ59ζ11−ζ31−ζ19+ζ5900000000000000000
χ694-4-2-20−1+5−1−5221−51+5−23231-103−31−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ4600−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ47−ζ23+ζ43−ζ7+ζ47ζ23−ζ43−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ19−ζ59−ζ11+ζ31−ζ19+ζ59ζ11−ζ3100000000000000000

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