Finite Group Databasebeta

← Group #14514449

Character table — Group #14514449

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size1122222222222334444666666666668888101010101212121212121212121212121616161616161616161616161616161616162424242424242424242424242424242430303030606060606060606080808080
order122445510102020202022101020202441010101020202020366622222244444410102020121215153030303030306060606060606060101010102020202020202020202020202222224444446666
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ31111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111-1-11111-1-1-1-11111-1-11-1-11111-1-1-1-1111111-1-11-11-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-11-11-111-1-111-1-1
χ6111-1-11111-1-1-1-11111-1-11-1-11111-1-1-1-1111111-1-1-11-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-11-11-1-11111-1-1
χ7111-1-11111-1-1-1-11111-1-11-1-11111-1-1-1-11111-1-1111-11-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-11-11-1-111-1-111
χ8111-1-11111-1-1-1-11111-1-11-1-11111-1-1-1-11111-1-111-11-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1111-11-111-1-1-1-111
χ911-11-11111111111-1-1-1-1-11-1111111111-1-111-11-11-1-111-11-1-1-1-1-11-111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-111-1-11-11-111-1-11-11-11-11-1
χ1011-11-11111111111-1-1-1-1-11-1111111111-1-111-11-1-111-1-11-11-1-1-1-11-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1111-11-1-1-111-11-111-11-1
χ1111-11-11111111111-1-1-1-1-11-1111111111-1-11-11-111-1-111-11-1-1-1-1-11-111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-111-1-1-11-11-1-111-11-11-11-11
χ1211-11-11111111111-1-1-1-1-11-1111111111-1-11-11-11-111-1-11-11-1-1-1-11-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-111-11-1111-1-11-11-1-11-11
χ1311-1-111111-1-1-1-111-1-111-1-111111-1-1-1-11-1-111-1-1111-1-11-1-11-1-111-1111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1111-1-111-1-111-1-111-1-11
χ1411-1-111111-1-1-1-111-1-111-1-111111-1-1-1-11-1-111-1-11-1-111-111-1-1-111-1111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-11-1-11-111-1-111-11-1-11
χ1511-1-111111-1-1-1-111-1-111-1-111111-1-1-1-11-1-11-111-111-1-11-1-11-1-111-1111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-111-1-111-1-111-1-111-1
χ1611-1-111111-1-1-1-111-1-111-1-111111-1-1-1-11-1-11-111-1-1-111-111-1-1-111-1111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-111-11-1-111-1-11-111-1
χ17222222222222222222222222222222-1-1-1-12222000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000222200000000-1-1-1-1
χ18222222222222222222222222222222-1-1-1-1-2-2-2-2000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2000000001111
χ1922222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222000022222222−1−52−1+52−1−52−1+5222−1−52−1+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+520000000000000000
χ2022222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222220000-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+5222−1−52−1+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+521−520000000000000000
χ2122222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222000022222222−1+52−1−52−1+52−1−5222−1+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+52−1−520000000000000000
χ2222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222220000-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−5222−1+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+520000000000000000
χ23222-2-22222-2-2-2-22222-2-22-2-22222-2-2-2-2-1-1-1-122-2-20000000022-2-211-1-1-1-1-1-1-1-111111111000000000000000022-2-200000000-1-111
χ24222-2-22222-2-2-2-22222-2-22-2-22222-2-2-2-2-1-1-1-1-2-2220000000022-2-211-1-1-1-1-1-1-1-1111111110000000000000000-2-2220000000011-1-1
χ25222-2-2−1−52−1+52−1−52−1+521+521+521−521−5222−1−52−1+521+521−522-2-2−1−52−1−52−1+52−1+521+521+521−521−52222200002-22-222-2-2−1−52−1+521+521−52-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521−520000000000000000
χ26222-2-2−1−52−1+52−1−52−1+521+521+521−521−5222−1−52−1+521+521−522-2-2−1−52−1−52−1+52−1+521+521+521−521−5222220000-22-22-2-222−1−52−1+521+521−52-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521−52−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+520000000000000000
χ27222-2-2−1+52−1−52−1+52−1−521−521−521+521+5222−1+52−1−521−521+522-2-2−1+52−1+52−1−52−1−521−521−521+521+52222200002-22-222-2-2−1+52−1−521−521+52-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+520000000000000000
χ28222-2-2−1+52−1−52−1+52−1−521−521−521+521+5222−1+52−1−521−521+522-2-2−1+52−1+52−1−52−1−521−521−521+521+5222220000-22-22-2-222−1+52−1−521−521+52-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+52−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−520000000000000000
χ2922-22-22222222222-2-2-2-2-22-222222222-111-12-22-200000000-2-2-2-2-11-1-11111-1-1-1-1-1-1111100000000000000002-22-200000000-11-11
χ3022-22-22222222222-2-2-2-2-22-222222222-111-1-22-2200000000-2-2-2-2-11-1-11111-1-1-1-1-1-111110000000000000000-22-22000000001-11-1
χ3122-22-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52221+521−521+521−52-22-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-2200002-2-222-22-21+521−521+521−522-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000000000000000
χ3222-22-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52221+521−521+521−52-22-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-220000-222-2-22-221+521−521+521−522-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521−52−1−52−1+520000000000000000
χ3322-22-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52221−521+521−521+52-22-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-2200002-2-222-22-21−521+521−521+522-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000000000000000
χ3422-22-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52221−521+521−521+52-22-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-220000-222-2-22-221−521+521−521+522-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1−520000000000000000
χ3522-2-222222-2-2-2-222-2-222-2-222222-2-2-2-2-111-12-2-2200000000-2-2221-1-1-11111-1-11111-1-1-1-100000000000000002-2-2200000000-111-1
χ3622-2-222222-2-2-2-222-2-222-2-222222-2-2-2-2-111-1-222-200000000-2-2221-1-1-11111-1-11111-1-1-1-10000000000000000-222-2000000001-1-11
χ3722-2-22−1−52−1+52−1−52−1+521+521+521−521−52221+521−52−1−52−1+52-2-22−1−52−1−52−1+52−1+521+521+521−521−522-2-22000022-2-22-2-221+521−52−1−52−1+52-22−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1+520000000000000000
χ3822-2-22−1−52−1+52−1−52−1+521+521+521−521−52221+521−52−1−52−1+52-2-22−1−52−1−52−1+52−1+521+521+521−521−522-2-220000-2-222-222-21+521−52−1−52−1+52-22−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−520000000000000000
χ3922-2-22−1+52−1−52−1+52−1−521−521−521+521+52221−521+52−1+52−1−52-2-22−1+52−1+52−1−52−1−521−521−521+521+522-2-22000022-2-22-2-221−521+52−1+52−1−52-22−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+52−1+52−1−520000000000000000
χ4022-2-22−1+52−1−52−1+52−1−521−521−521+521+52221−521+52−1+52−1−52-2-22−1+52−1+52−1−52−1−521−521−521+521+522-2-220000-2-222-222-21−521+52−1+52−1−52-22−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+520000000000000000
χ413333333333333-1-13333-1-1-1-1-1-1-1-1-1-1-1000033331111-1-1-1-1-1-1-1-100000000000000000011111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-10000
χ423333333333333-1-13333-1-1-1-1-1-1-1-1-1-1-100003333-1-1-1-11111-1-1-1-1000000000000000000-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111110000
χ433333333333333-1-13333-1-1-1-1-1-1-1-1-1-1-10000-3-3-3-31111-1-1-1-1-1-1-1-100000000000000000011111111-1-1-1-1-1-1-1-11111-1-1-1-111110000
χ443333333333333-1-13333-1-1-1-1-1-1-1-1-1-1-10000-3-3-3-3-1-1-1-11111-1-1-1-1000000000000000000-1-1-1-1-1-1-1-11111111111111111-1-1-1-10000
χ45333-3-33333-3-3-3-3-1-133-3-3-111-1-1-1-11111000033-3-31-11-1-1-111-1-11100000000000000000011-1-111-1-1-1-1-1-11111-1-1111-11-1-1-1110000
χ46333-3-33333-3-3-3-3-1-133-3-3-111-1-1-1-11111000033-3-3-11-1111-1-1-1-111000000000000000000-1-111-1-1111111-1-1-1-1-1-111-11-1111-1-10000
χ47333-3-33333-3-3-3-3-1-133-3-3-111-1-1-1-111110000-3-3331-11-1-1-111-1-11100000000000000000011-1-111-1-1-1-1-1-1111111-1-1-11-1111-1-10000
χ48333-3-33333-3-3-3-3-1-133-3-3-111-1-1-1-111110000-3-333-11-1111-1-1-1-111000000000000000000-1-111-1-1111111-1-1-1-111-1-11-11-1-1-1110000
χ4933-33-333333333-1-1-3-3-3-31-11-1-1-1-1-1-1-1-100003-33-31-1-11-11-11111100000000000000000011-1-1-1-111-1-111-1-111-11-1111-1-1-11-110000
χ5033-33-333333333-1-1-3-3-3-31-11-1-1-1-1-1-1-1-100003-33-3-111-11-11-11111000000000000000000-1-11111-1-111-1-111-1-1-11-11-1-1111-11-10000
χ5133-33-333333333-1-1-3-3-3-31-11-1-1-1-1-1-1-1-10000-33-331-1-11-11-11111100000000000000000011-1-1-1-111-1-111-1-1111-11-1-1-1111-11-10000
χ5233-33-333333333-1-1-3-3-3-31-11-1-1-1-1-1-1-1-10000-33-33-111-11-11-11111000000000000000000-1-11111-1-111-1-111-1-11-11-111-1-1-11-110000
χ5333-3-333333-3-3-3-3-1-1-3-33311-1-1-1-1-1111100003-3-3311-1-1-111-111-1-10000000000000000001111-1-1-1-1-1-11111-1-1-111-11-1-11-111-10000
χ5433-3-333333-3-3-3-3-1-1-3-33311-1-1-1-1-1111100003-3-33-1-1111-1-1111-1-1000000000000000000-1-1-1-1111111-1-1-1-111-111-1-111-11-1-110000
χ5533-3-333333-3-3-3-3-1-1-3-33311-1-1-1-1-111110000-333-311-1-1-111-111-1-10000000000000000001111-1-1-1-1-1-11111-1-11-1-11-111-11-1-110000
χ5633-3-333333-3-3-3-3-1-1-3-33311-1-1-1-1-111110000-333-3-1-1111-1-1111-1-1000000000000000000-1-1-1-1111111-1-1-1-1111-1-111-1-11-111-10000
χ5744444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+544−1−5−1+5−1−5−1+5444−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5-2-2-2-2000000000000−1−5−1+5−1−5−1+5-2-21+521−521+521+521−521−521+521−521+521+521−521−521+521+521−521−5200000000000000000000000000000000
χ5844444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−544−1+5−1−5−1+5−1−5444−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5-2-2-2-2000000000000−1+5−1−5−1+5−1−5-2-21−521+521−521−521+521+521−521+521−521−521+521+521−521−521+521+5200000000000000000000000000000000
χ59444-4-4−1−5−1+5−1−5−1+51+51+51−51−544−1−5−1+51+51−54-4-4−1−5−1−5−1+5−1+51+51+51−51−5-2-2-2-2000000000000−1−5−1+51+51−5221+521−521+521+521−521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000000000000000
χ60444-4-4−1+5−1−5−1+5−1−51−51−51+51+544−1+5−1−51−51+54-4-4−1+5−1+5−1−5−1−51−51−51+51+5-2-2-2-2000000000000−1+5−1−51−51+5221−521+521−521−521+521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000000000000000
χ6144-44-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5441+51−51+51−5-44-4−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5-222-20000000000001+51−51+51−5-221+521−52−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000000000000000
χ6244-44-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5441−51+51−51+5-44-4−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5-222-20000000000001−51+51−51+5-221−521+52−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000000000000000
χ6344-4-44−1−5−1+5−1−5−1+51+51+51−51−5441+51−5−1−5−1+5-4-44−1−5−1−5−1+5−1+51+51+51−51−5-222-20000000000001+51−5−1−5−1+52-21+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000000000000000
χ6444-4-44−1+5−1−5−1+5−1−51−51−51+51+5441−51+5−1+5−1−5-4-44−1+5−1+5−1−5−1−51−51−51+51+5-222-20000000000001−51+5−1+5−1−52-21−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000000000000000
χ654-400044-4-400004-400000004-44-40000400-4000000000000000000440000-4-40000000000000000000000000000000000000000
χ664-400044-4-400004-400000004-44-40000-2−2i32i32000000000000000000-2-2−2i32i3−2i32i3220000000000000000000000000000000000000000
χ674-400044-4-400004-400000004-44-40000-22i3−2i32000000000000000000-2-22i3−2i32i3−2i3220000000000000000000000000000000000000000
χ684-4000−1−5−1+51+51−5−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ474-40000000−1−51+5−1+51−5−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47400-4000000000000000000−1−5−1+500001+51−5−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47000000000000000000000000000000000000
χ694-4000−1−5−1+51+51−5−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ474-40000000−1−51+5−1+51−5−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47-2−2i32i320000000000000000001+521−52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−1−52−1+52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ4700000000000000000000000000000000
χ704-4000−1−5−1+51+51−5−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ474-40000000−1−51+5−1+51−5−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47-22i3−2i320000000000000000001+521−52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−1−52−1+52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ4700000000000000000000000000000000
χ714-4000−1−5−1+51+51−52ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ474-40000000−1−51+5−1+51−52ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47400-4000000000000000000−1−5−1+500001+51−52ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47000000000000000000000000000000000000
χ724-4000−1−5−1+51+51−52ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ474-40000000−1−51+5−1+51−52ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47-2−2i32i320000000000000000001+521−52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−1−52−1+52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ4700000000000000000000000000000000
χ734-4000−1−5−1+51+51−52ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ474-40000000−1−51+5−1+51−52ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47-22i3−2i320000000000000000001+521−52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−1−52−1+52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ4700000000000000000000000000000000
χ744-4000−1+5−1−51−51+52ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ594-40000000−1+51−5−1−51+52ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59400-4000000000000000000−1+5−1−500001−51+52ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59000000000000000000000000000000000000
χ754-4000−1+5−1−51−51+52ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ594-40000000−1+51−5−1−51+52ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59-2−2i32i320000000000000000001−521+52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−1+52−1−52−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
χ764-4000−1+5−1−51−51+52ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ594-40000000−1+51−5−1−51+52ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59-22i3−2i320000000000000000001−521+52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−1+52−1−52−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ5900000000000000000000000000000000
χ774-4000−1+5−1−51−51+5−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ594-40000000−1+51−5−1−51+5−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59400-4000000000000000000−1+5−1−500001−51+5−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59000000000000000000000000000000000000
χ784-4000−1+5−1−51−51+5−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ594-40000000−1+51−5−1−51+5−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59-2−2i32i320000000000000000001−521+52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−1+52−1−52ζ7−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
χ794-4000−1+5−1−51−51+5−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ594-40000000−1+51−5−1−51+5−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59-22i3−2i320000000000000000001−521+52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−1+52−1−52ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ5900000000000000000000000000000000
χ8066666−3−352−3+352−3−352−3+352−3−352−3−352−3+352−3+352-2-2−3−352−3+352−3−352−3+352-2-2-21+521+521−521−521+521+521−521−52000000002222-2-2-2-21+521−521+521−52000000000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−520000000000000000
χ8166666−3−352−3+352−3−352−3+352−3−352−3−352−3+352−3+352-2-2−3−352−3+352−3−352−3+352-2-2-21+521+521−521−521+521+521−521−5200000000-2-2-2-222221+521−521+521−520000000000000000001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000
χ8266666−3+352−3−352−3+352−3−352−3+352−3+352−3−352−3−352-2-2−3+352−3−352−3+352−3−352-2-2-21−521−521+521+521−521−521+521+52000000002222-2-2-2-21−521+521−521+52000000000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+520000000000000000
χ8366666−3+352−3−352−3+352−3−352−3+352−3+352−3−352−3−352-2-2−3+352−3−352−3+352−3−352-2-2-21−521−521+521+521−521−521+521+5200000000-2-2-2-222221−521+521−521+520000000000000000001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000
χ84666-6-6−3−352−3+352−3−352−3+3523+3523+3523−3523−352-2-2−3−352−3+3523+3523−352-2221+521+521−521−52−1−52−1−52−1+52−1+52000000002-22-2-2-2221+521−52−1−52−1+52000000000000000000−1−52−1+521+521−52−1−52−1+521+521−521+521−521+521−52−1−52−1+52−1−52−1+520000000000000000
χ85666-6-6−3−352−3+352−3−352−3+3523+3523+3523−3523−352-2-2−3−352−3+3523+3523−352-2221+521+521−521−52−1−52−1−52−1+52−1+5200000000-22-2222-2-21+521−52−1−52−1+520000000000000000001+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−520000000000000000
χ86666-6-6−3+352−3−352−3+352−3−3523−3523−3523+3523+352-2-2−3+352−3−3523−3523+352-2221−521−521+521+52−1+52−1+52−1−52−1−52000000002-22-2-2-2221−521+52−1+52−1−52000000000000000000−1+52−1−521−521+52−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−520000000000000000
χ87666-6-6−3+352−3−352−3+352−3−3523−3523−3523+3523+352-2-2−3+352−3−3523−3523+352-2221−521−521+521+52−1+52−1+52−1−52−1−5200000000-22-2222-2-21−521+52−1+52−1−520000000000000000001−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+520000000000000000
χ8866-66-6−3−352−3+352−3−352−3+352−3−352−3−352−3+352−3+352-2-23+3523−3523+3523−3522-221+521+521−521−521+521+521−521−52000000002-2-22-22-22−1−52−1+52−1−52−1+52000000000000000000−1−52−1+521+521−521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+520000000000000000
χ8966-66-6−3−352−3+352−3−352−3+352−3−352−3−352−3+352−3+352-2-23+3523−3523+3523−3522-221+521+521−521−521+521+521−521−5200000000-222-22-22-2−1−52−1+52−1−52−1+520000000000000000001+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−520000000000000000
χ9066-66-6−3+352−3−352−3+352−3−352−3+352−3+352−3−352−3−352-2-23−3523+3523−3523+3522-221−521−521+521+521−521−521+521+52000000002-2-22-22-22−1+52−1−52−1+52−1−52000000000000000000−1+52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−520000000000000000
χ9166-66-6−3+352−3−352−3+352−3−352−3+352−3+352−3−352−3−352-2-23−3523+3523−3523+3522-221−521−521+521+521−521−521+521+5200000000-222-22-22-2−1+52−1−52−1+52−1−520000000000000000001−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+520000000000000000
χ9266-6-66−3−352−3+352−3−352−3+3523+3523+3523−3523−352-2-23+3523−352−3−352−3+35222-21+521+521−521−52−1−52−1−52−1+52−1+520000000022-2-2-222-2−1−52−1+521+521−52000000000000000000−1−52−1+52−1−52−1+521+521−521+521−521+521−52−1−52−1+52−1−52−1+521+521−520000000000000000
χ9366-6-66−3−352−3+352−3−352−3+3523+3523+3523−3523−352-2-23+3523−352−3−352−3+35222-21+521+521−521−52−1−52−1−52−1+52−1+5200000000-2-2222-2-22−1−52−1+521+521−520000000000000000001+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000000000000000
χ9466-6-66−3+352−3−352−3+352−3−3523−3523−3523+3523+352-2-23−3523+352−3+352−3−35222-21−521−521+521+52−1+52−1+52−1−52−1−520000000022-2-2-222-2−1+52−1−521−521+52000000000000000000−1+52−1−52−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−521−521+520000000000000000
χ9566-6-66−3+352−3−352−3+352−3−3523−3523−3523+3523+352-2-23−3523+352−3+352−3−35222-21−521−521+521+52−1+52−1+52−1−52−1−5200000000-2-2222-2-22−1+52−1−521−521+520000000000000000001−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000000000000000
χ9612-120001212-12-120000-440000000-44-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ9712-12000−3−35−3+353+353−35−6ζ11+6ζ19−6ζ31+6ζ596ζ11−6ζ19+6ζ31−6ζ596ζ7−6ζ23−6ζ43+6ζ47−6ζ7+6ζ23+6ζ43−6ζ47-4400000001+5−1−51−5−1+52ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ470000000000000000000000000000000000000000000000000000000000000000000000
χ9812-12000−3−35−3+353+353−356ζ11−6ζ19+6ζ31−6ζ59−6ζ11+6ζ19−6ζ31+6ζ59−6ζ7+6ζ23+6ζ43−6ζ476ζ7−6ζ23−6ζ43+6ζ47-4400000001+5−1−51−5−1+5−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ470000000000000000000000000000000000000000000000000000000000000000000000
χ9912-12000−3+35−3−353−353+356ζ7−6ζ23−6ζ43+6ζ47−6ζ7+6ζ23+6ζ43−6ζ476ζ11−6ζ19+6ζ31−6ζ59−6ζ11+6ζ19−6ζ31+6ζ59-4400000001−5−1+51+5−1−5−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ590000000000000000000000000000000000000000000000000000000000000000000000
χ10012-12000−3+35−3−353−353+35−6ζ7+6ζ23+6ζ43−6ζ476ζ7−6ζ23−6ζ43+6ζ47−6ζ11+6ζ19−6ζ31+6ζ596ζ11−6ζ19+6ζ31−6ζ59-4400000001−5−1+51+5−1−52ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ590000000000000000000000000000000000000000000000000000000000000000000000

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