Finite Group Databasebeta

← Group #11752274

Character table — Group #11752274

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size112444445588810101010101616202020202020202020112444445588810101010101616202020202020202020112444445588810101010101616202020202020202020
order1244458104420404028888202022448888836121212152430121260120120624242424606066121224242424243612121215243012126012012062424242460606612122424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-11111-1-11-1-1-1-111111111111111-1-1-1-11111-1-11-1-1-1-111111111111111-1-1-1-11111-1-11-1-1-1-1
χ311111111-1-1111-1ii−i−i11-1-1i−i-1ii−i−i11111111-1-1111-1ii−i−i11-1-1i−i-1ii−i−i11111111-1-1111-1ii−i−i11-1-1i−i-1ii−i−i
χ411111111-1-1111-1−i−iii11-1-1−ii-1−i−iii11111111-1-1111-1−i−iii11-1-1−ii-1−i−iii11111111-1-1111-1−i−iii11-1-1−ii-1−i−iii
χ51111-11-11111-1-1111111-11-1-1-1-11-11-11111-11-11111-1-1111111-11-1-1-1-11-11-11111-11-11111-1-1111111-11-1-1-1-11-11-1
χ61111-11-11111-1-11-1-1-1-11-11-111-1-11-111111-11-11111-1-11-1-1-1-11-11-111-1-11-111111-11-11111-1-11-1-1-1-11-11-111-1-11-11
χ71111-11-11-1-11-1-1-1ii−i−i1-1-11−ii1i−i−ii1111-11-11-1-11-1-1-1ii−i−i1-1-11−ii1i−i−ii1111-11-11-1-11-1-1-1ii−i−i1-1-11−ii1i−i−ii
χ81111-11-11-1-11-1-1-1−i−iii1-1-11i−i1−iii−i1111-11-11-1-11-1-1-1−i−iii1-1-11i−i1−iii−i1111-11-11-1-11-1-1-1−i−iii1-1-11i−i1−iii−i
χ9111-111-11111-1-111111-11-11-1-1-1-11-11111-111-11111-1-111111-11-11-1-1-1-11-11111-111-11111-1-111111-11-11-1-1-1-11-11
χ10111-111-11111-1-11-1-1-1-1-11-1111-11-11-1111-111-11111-1-11-1-1-1-1-11-1111-11-11-1111-111-11111-1-11-1-1-1-1-11-1111-11-11-1
χ11111-111-11-1-11-1-1-1ii−i−i-111-1−ii1−iii−i111-111-11-1-11-1-1-1ii−i−i-111-1−ii1−iii−i111-111-11-1-11-1-1-1ii−i−i-111-1−ii1−iii−i
χ12111-111-11-1-11-1-1-1−i−iii-111-1i−i1i−i−ii111-111-11-1-11-1-1-1−i−iii-111-1i−i1i−i−ii111-111-11-1-11-1-1-1−i−iii-111-1i−i1i−i−ii
χ13111-1-11111111111111-1-1-1-1111-1-1-1-1111-1-11111111111111-1-1-1-1111-1-1-1-1111-1-11111111111111-1-1-1-1111-1-1-1-1
χ14111-1-1111111111-1-1-1-1-1-1-1-1-1-111111111-1-1111111111-1-1-1-1-1-1-1-1-1-111111111-1-1111111111-1-1-1-1-1-1-1-1-1-111111
χ15111-1-1111-1-1111-1ii−i−i-1-111i−i-1−i−iii111-1-1111-1-1111-1ii−i−i-1-111i−i-1−i−iii111-1-1111-1-1111-1ii−i−i-1-111i−i-1−i−iii
χ16111-1-1111-1-1111-1−i−iii-1-111−ii-1ii−i−i111-1-1111-1-1111-1−i−iii-1-111−ii-1ii−i−i111-1-1111-1-1111-1−i−iii-1-111−ii-1ii−i−i
χ1722-20020222-200-22-22-20000000000022-20020222-200-22-22-20000000000022-20020222-200-22-22-200000000000
χ1822-20020222-200-2-22-220000000000022-20020222-200-2-22-220000000000022-20020222-200-2-22-2200000000000
χ1922-200202-2-2-20022i−2i−2i2i0000000000022-200202-2-2-20022i−2i−2i2i0000000000022-200202-2-2-20022i−2i−2i2i00000000000
χ2022-200202-2-2-2002−2i2i2i−2i0000000000022-200202-2-2-2002−2i2i2i−2i0000000000022-200202-2-2-2002−2i2i2i−2i00000000000
χ2144444-14-100-1-1-100000-1-100000000044444-14-100-1-1-100000-1-100000000044444-14-100-1-1-100000-1-1000000000
χ224444-4-1-4-100-11100000-110000000004444-4-1-4-100-11100000-110000000004444-4-1-4-100-11100000-11000000000
χ23444-44-1-4-100-111000001-1000000000444-44-1-4-100-111000001-1000000000444-44-1-4-100-111000001-1000000000
χ24444-4-4-14-100-1-1-10000011000000000444-4-4-14-100-1-1-10000011000000000444-4-4-14-100-1-1-10000011000000000
χ254-400040-44i−4i00000000000000000004-400040-44i−4i00000000000000000004-400040-44i−4i0000000000000000000
χ264-400040-4−4i4i00000000000000000004-400040-4−4i4i00000000000000000004-400040-4−4i4i0000000000000000000
χ2788-800-20-200200000000000000000088-800-20-200200000000000000000088-800-20-2002000000000000000000
χ288-8000-20200010−1000000000000000008-8000-20200010−1000000000000000008-8000-20200010−100000000000000000
χ298-8000-202000−101000000000000000008-8000-202000−101000000000000000008-8000-202000−10100000000000000000
χ3011111111111111111111111111111−1+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+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−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−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
χ3111111111111111-1-1-1-11111-1-11-1-1-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32
χ3211111111-1-1111-1ii−i−i11-1-1i−i-1ii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−1+i32−1+i321−i321−i32−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ1181−i32−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−1−i32−1−i321+i321+i32−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ861+i32−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86
χ3311111111-1-1111-1−i−iii11-1-1−ii-1−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118−1+i32−1+i321−i321−i32ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ1181−i32ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86−1−i32−1−i321+i321+i32ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ861+i32ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86
χ341111-11-11111-1-1111111-11-1-1-1-11-11-1−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32
χ351111-11-11111-1-11-1-1-1-11-11-111-1-11-11−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32
χ361111-11-11-1-11-1-1-1ii−i−i1-1-11−ii1i−i−ii−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i321−i32−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−1+i321−i321−i32−1+i32ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−1+i32−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i321+i32−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−1−i321+i321+i32−1−i32ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−1−i32−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86
χ371111-11-11-1-11-1-1-1−i−iii1-1-11i−i1−iii−i−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i321−i32ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118−1+i321−i321−i32−1+i32−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118−1+i32ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i321+i32ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86−1−i321+i321+i32−1−i32−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86−1−i32ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86
χ38111-111-11111-1-111111-11-11-1-1-1-11-11−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32
χ39111-111-11111-1-11-1-1-1-1-11-1111-11-11-1−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32
χ40111-111-11-1-11-1-1-1ii−i−i-111-1−ii1−iii−i−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i321−i32−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ1181−i32−1+i32−1+i321−i32ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−1+i32ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i321+i32−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ861+i32−1−i32−1−i321+i32ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−1−i32ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86
χ41111-111-11-1-11-1-1-1−i−iii-111-1i−i1i−i−ii−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i321−i32ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ1181−i32−1+i32−1+i321−i32−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118−1+i32−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i321+i32ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ861+i32−1−i32−1−i321+i32−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86−1−i32−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86
χ42111-1-11111111111111-1-1-1-1111-1-1-1-1−1+i32−1+i32−1+i321−i321−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ43111-1-1111111111-1-1-1-1-1-1-1-1-1-111111−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ44111-1-1111-1-1111-1ii−i−i-1-111i−i-1−i−iii−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ1181−i321−i32−1+i32−1+i32−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ1181−i32ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ861+i321+i32−1−i32−1−i32−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ861+i32ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86
χ45111-1-1111-1-1111-1−i−iii-1-111−ii-1ii−i−i−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ1181−i321−i32−1+i32−1+i32ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ1181−i32−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ861+i321+i32−1−i32−1−i32ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ861+i32−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86
χ4622-20020222-200-22-22-200000000000−1+i3−1+i31−i300−1+i30−1+i3−1+i3−1+i31−i3001−i3−1+i31−i3−1+i31−i300000000000−1−i3−1−i31+i300−1−i30−1−i3−1−i3−1−i31+i3001+i3−1−i31+i3−1−i31+i300000000000
χ4722-20020222-200-2-22-2200000000000−1+i3−1+i31−i300−1+i30−1+i3−1+i3−1+i31−i3001−i31−i3−1+i31−i3−1+i300000000000−1−i3−1−i31+i300−1−i30−1−i3−1−i3−1−i31+i3001+i31+i3−1−i31+i3−1−i300000000000
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χ5044444-14-100-1-1-100000-1-1000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i32−2+2i31−i32001−i321−i321−i32000001−i321−i32000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i32−2−2i31+i32001+i321+i321+i32000001+i321+i32000000000
χ514444-4-1-4-100-11100000-11000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i31−i322−2i31−i32001−i32−1+i32−1+i32000001−i32−1+i32000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i31+i322+2i31+i32001+i32−1−i32−1−i32000001+i32−1−i32000000000
χ52444-44-1-4-100-111000001-1000000000−2+2i3−2+2i3−2+2i32−2i3−2+2i31−i322−2i31−i32001−i32−1+i32−1+i3200000−1+i321−i32000000000−2−2i3−2−2i3−2−2i32+2i3−2−2i31+i322+2i31+i32001+i32−1−i32−1−i3200000−1−i321+i32000000000
χ53444-4-4-14-100-1-1-10000011000000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i32−2+2i31−i32001−i321−i321−i3200000−1+i32−1+i32000000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i32−2−2i31+i32001+i321+i321+i3200000−1−i32−1−i32000000000
χ544-400040-44i−4i0000000000000000000−2+2i32−2i3000−2+2i302−2i3−4ζ22−4ζ46−4ζ94−4ζ1184ζ22+4ζ46+4ζ94+4ζ1180000000000000000000−2−2i32+2i3000−2−2i302+2i3−4ζ14−4ζ38−4ζ62−4ζ864ζ14+4ζ38+4ζ62+4ζ860000000000000000000
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χ5911111111111111111111111111111−1−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−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+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+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
χ6011111111111111-1-1-1-11111-1-11-1-1-1-1−1−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+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+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32
χ6111111111-1-1111-1ii−i−i11-1-1i−i-1ii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−1−i32−1−i321+i321+i32−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ861+i32−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−1+i32−1+i321−i321−i32−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ1181−i32−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118
χ6211111111-1-1111-1−i−iii11-1-1−ii-1−i−iii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86−1−i32−1−i321+i321+i32ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ861+i32ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118−1+i32−1+i321−i321−i32ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ1181−i32ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118
χ631111-11-11111-1-1111111-11-1-1-1-11-11-1−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32
χ641111-11-11111-1-11-1-1-1-11-11-111-1-11-11−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32
χ651111-11-11-1-11-1-1-1ii−i−i1-1-11−ii1i−i−ii−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i321+i32−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−1−i321+i321+i32−1−i32ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−1−i32−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i321−i32−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−1+i321−i321−i32−1+i32ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−1+i32−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118
χ661111-11-11-1-11-1-1-1−i−iii1-1-11i−i1−iii−i−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i321+i32ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86−1−i321+i321+i32−1−i32−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86−1−i32ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i321−i32ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118−1+i321−i321−i32−1+i32−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118−1+i32ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118
χ67111-111-11111-1-111111-11-11-1-1-1-11-11−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32
χ68111-111-11111-1-11-1-1-1-1-11-1111-11-11-1−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32
χ69111-111-11-1-11-1-1-1ii−i−i-111-1−ii1−iii−i−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i321+i32−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ861+i32−1−i32−1−i321+i32ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−1−i32ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i321−i32−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ1181−i32−1+i32−1+i321−i32ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−1+i32ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118
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χ71111-1-11111111111111-1-1-1-1111-1-1-1-1−1−i32−1−i32−1−i321+i321+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ72111-1-1111111111-1-1-1-1-1-1-1-1-1-111111−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ73111-1-1111-1-1111-1ii−i−i-1-111i−i-1−i−iii−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ861+i321+i32−1−i32−1−i32−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ861+i32ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ1181−i321−i32−1+i32−1+i32−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ1181−i32ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118
χ74111-1-1111-1-1111-1−i−iii-1-111−ii-1ii−i−i−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ861+i321+i32−1−i32−1−i32ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ861+i32−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ1181−i321−i32−1+i32−1+i32ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ1181−i32−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118
χ7522-20020222-200-22-22-200000000000−1−i3−1−i31+i300−1−i30−1−i3−1−i3−1−i31+i3001+i3−1−i31+i3−1−i31+i300000000000−1+i3−1+i31−i300−1+i30−1+i3−1+i3−1+i31−i3001−i3−1+i31−i3−1+i31−i300000000000
χ7622-20020222-200-2-22-2200000000000−1−i3−1−i31+i300−1−i30−1−i3−1−i3−1−i31+i3001+i31+i3−1−i31+i3−1−i300000000000−1+i3−1+i31−i300−1+i30−1+i3−1+i3−1+i31−i3001−i31−i3−1+i31−i3−1+i300000000000
χ7722-200202-2-2-20022i−2i−2i2i00000000000−1−i3−1−i31+i300−1−i30−1−i31+i31+i31+i300−1−i3−2ζ14−2ζ38−2ζ62−2ζ862ζ14+2ζ38+2ζ62+2ζ862ζ14+2ζ38+2ζ62+2ζ86−2ζ14−2ζ38−2ζ62−2ζ8600000000000−1+i3−1+i31−i300−1+i30−1+i31−i31−i31−i300−1+i3−2ζ22−2ζ46−2ζ94−2ζ1182ζ22+2ζ46+2ζ94+2ζ1182ζ22+2ζ46+2ζ94+2ζ118−2ζ22−2ζ46−2ζ94−2ζ11800000000000
χ7822-200202-2-2-2002−2i2i2i−2i00000000000−1−i3−1−i31+i300−1−i30−1−i31+i31+i31+i300−1−i32ζ14+2ζ38+2ζ62+2ζ86−2ζ14−2ζ38−2ζ62−2ζ86−2ζ14−2ζ38−2ζ62−2ζ862ζ14+2ζ38+2ζ62+2ζ8600000000000−1+i3−1+i31−i300−1+i30−1+i31−i31−i31−i300−1+i32ζ22+2ζ46+2ζ94+2ζ118−2ζ22−2ζ46−2ζ94−2ζ118−2ζ22−2ζ46−2ζ94−2ζ1182ζ22+2ζ46+2ζ94+2ζ11800000000000
χ7944444-14-100-1-1-100000-1-1000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i32−2−2i31+i32001+i321+i321+i32000001+i321+i32000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i32−2+2i31−i32001−i321−i321−i32000001−i321−i32000000000
χ804444-4-1-4-100-11100000-11000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i31+i322+2i31+i32001+i32−1−i32−1−i32000001+i32−1−i32000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i31−i322−2i31−i32001−i32−1+i32−1+i32000001−i32−1+i32000000000
χ81444-44-1-4-100-111000001-1000000000−2−2i3−2−2i3−2−2i32+2i3−2−2i31+i322+2i31+i32001+i32−1−i32−1−i3200000−1−i321+i32000000000−2+2i3−2+2i3−2+2i32−2i3−2+2i31−i322−2i31−i32001−i32−1+i32−1+i3200000−1+i321−i32000000000
χ82444-4-4-14-100-1-1-10000011000000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i32−2−2i31+i32001+i321+i321+i3200000−1−i32−1−i32000000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i32−2+2i31−i32001−i321−i321−i3200000−1+i32−1+i32000000000
χ834-400040-44i−4i0000000000000000000−2−2i32+2i3000−2−2i302+2i3−4ζ14−4ζ38−4ζ62−4ζ864ζ14+4ζ38+4ζ62+4ζ860000000000000000000−2+2i32−2i3000−2+2i302−2i3−4ζ22−4ζ46−4ζ94−4ζ1184ζ22+4ζ46+4ζ94+4ζ1180000000000000000000
χ844-400040-4−4i4i0000000000000000000−2−2i32+2i3000−2−2i302+2i34ζ14+4ζ38+4ζ62+4ζ86−4ζ14−4ζ38−4ζ62−4ζ860000000000000000000−2+2i32−2i3000−2+2i302−2i34ζ22+4ζ46+4ζ94+4ζ118−4ζ22−4ζ46−4ζ94−4ζ1180000000000000000000
χ8588-800-20-2002000000000000000000−4−4i3−4−4i34+4i3001+i301+i300−1−i3000000000000000000−4+4i3−4+4i34−4i3001−i301−i300−1+i3000000000000000000
χ868-8000-20200010−100000000000000000−4−4i34+4i30001+i30−1−i3000−ζ23−ζ29−ζ47+ζ53+ζ71+ζ77−ζ101+ζ119ζ23+ζ29+ζ47−ζ53−ζ71−ζ77+ζ101−ζ1190000000000000000−4+4i34−4i30001−i30−1+i3000−ζ7+ζ13+ζ31+ζ37−ζ61+ζ79−ζ103−ζ109ζ7−ζ13−ζ31−ζ37+ζ61−ζ79+ζ103+ζ1090000000000000000
χ878-8000-202000−10100000000000000000−4−4i34+4i30001+i30−1−i3000ζ23+ζ29+ζ47−ζ53−ζ71−ζ77+ζ101−ζ119−ζ23−ζ29−ζ47+ζ53+ζ71+ζ77−ζ101+ζ1190000000000000000−4+4i34−4i30001−i30−1+i3000ζ7−ζ13−ζ31−ζ37+ζ61−ζ79+ζ103+ζ109−ζ7+ζ13+ζ31+ζ37−ζ61+ζ79−ζ103−ζ1090000000000000000

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