Finite Group Databasebeta

← Group #13088731

Character table — Group #13088731

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1224458888910101515151520303030303645122445888891010151515152030303030364512244588889101015151515203030303036451224458888910101515151520303030303645
order133352151515152664444612121212102412121220460606060412124444121212121220426661023030303026644446121212121024121212204606060604121244441212121212204
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111-1-1-1-11-1-1-1-1111111111111111-1-1-1-11-1-1-1-1111111111111111-1-1-1-11-1-1-1-1111111111111111-1-1-1-11-1-1-1-111
χ31111111111-11111-1-1111-1-1-1-11111111111-11111-1-1111-1-1-1-11111111111-11111-1-1111-1-1-1-11111111111-11111-1-1111-1-1-1-1
χ41111111111-111-1-1111-1-111-1-11111111111-111-1-1111-1-111-1-11111111111-111-1-1111-1-111-1-11111111111-111-1-1111-1-111-1-1
χ511111-111111-1-1i−ii−i-1i−ii−i1-111111-111111-1-1i−ii−i-1i−ii−i1-111111-111111-1-1i−ii−i-1i−ii−i1-111111-111111-1-1i−ii−i-1i−ii−i1-1
χ611111-111111-1-1−ii−ii-1−ii−ii1-111111-111111-1-1−ii−ii-1−ii−ii1-111111-111111-1-1−ii−ii-1−ii−ii1-111111-111111-1-1−ii−ii-1−ii−ii1-1
χ711111-11111-1-1-1i−i−ii-1i−i−ii-1111111-11111-1-1-1i−i−ii-1i−i−ii-1111111-11111-1-1-1i−i−ii-1i−i−ii-1111111-11111-1-1-1i−i−ii-1i−i−ii-11
χ811111-11111-1-1-1−iii−i-1−iii−i-1111111-11111-1-1-1−iii−i-1−iii−i-1111111-11111-1-1-1−iii−i-1−iii−i-1111111-11111-1-1-1−iii−i-1−iii−i-11
χ922-1-1222-1-1-102-10022-100-1-10022-1-1222-1-1-102-10022-100-1-10022-1-1222-1-1-102-10022-100-1-10022-1-1222-1-1-102-10022-100-1-100
χ1022-1-1222-1-1-102-100-2-2-100110022-1-1222-1-1-102-100-2-2-100110022-1-1222-1-1-102-100-2-2-100110022-1-1222-1-1-102-100-2-2-1001100
χ1122-1-12-22-1-1-10-21002i−2i100−ii0022-1-12-22-1-1-10-21002i−2i100−ii0022-1-12-22-1-1-10-21002i−2i100−ii0022-1-12-22-1-1-10-21002i−2i100−ii00
χ1222-1-12-22-1-1-10-2100−2i2i100i−i0022-1-12-22-1-1-10-2100−2i2i100i−i0022-1-12-22-1-1-10-2100−2i2i100i−i0022-1-12-22-1-1-10-2100−2i2i100i−i00
χ132-12-122-12-1-10-122200-1-1-100002-12-122-12-1-10-122200-1-1-100002-12-122-12-1-10-122200-1-1-100002-12-122-12-1-10-122200-1-1-10000
χ142-12-122-12-1-10-12-2-200-11100002-12-122-12-1-10-12-2-200-11100002-12-122-12-1-10-12-2-200-11100002-12-122-12-1-10-12-2-200-1110000
χ152-12-12-2-12-1-101-22i−2i001−ii00002-12-12-2-12-1-101-22i−2i001−ii00002-12-12-2-12-1-101-22i−2i001−ii00002-12-12-2-12-1-101-22i−2i001−ii0000
χ162-12-12-2-12-1-101-2−2i2i001i−i00002-12-12-2-12-1-101-2−2i2i001i−i00002-12-12-2-12-1-101-2−2i2i001i−i00002-12-12-2-12-1-101-2−2i2i001i−i0000
χ174444-10-1-1-1-1400000000000-104444-10-1-1-1-1400000000000-104444-10-1-1-1-1400000000000-104444-10-1-1-1-1400000000000-10
χ184444-10-1-1-1-1-400000000000104444-10-1-1-1-1-400000000000104444-10-1-1-1-1-400000000000104444-10-1-1-1-1-40000000000010
χ194-2-2144-2-2110-2-2000010000004-2-2144-2-2110-2-2000010000004-2-2144-2-2110-2-2000010000004-2-2144-2-2110-2-200001000000
χ204-2-214-4-2-2110220000-10000004-2-214-4-2-2110220000-10000004-2-214-4-2-2110220000-10000004-2-214-4-2-2110220000-1000000
χ2188-4-4-20-21110000000000000088-4-4-20-21110000000000000088-4-4-20-21110000000000000088-4-4-20-211100000000000000
χ228-48-4-201-211000000000000008-48-4-201-211000000000000008-48-4-201-211000000000000008-48-4-201-21100000000000000
χ238-4-42-2011−1+352−1−352000000000000008-4-42-2011−1+352−1−352000000000000008-4-42-2011−1+352−1−352000000000000008-4-42-2011−1+352−1−35200000000000000
χ248-4-42-2011−1−352−1+352000000000000008-4-42-2011−1−352−1+352000000000000008-4-42-2011−1−352−1+352000000000000008-4-42-2011−1−352−1+35200000000000000
χ25111111111111111111111111iiiiiiiiiiiiiiiiiiiiiiii-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−i−i−i−i−i−i−i−i−i−i−i−i
χ261111111111111-1-1-1-11-1-1-1-111iiiiiiiiiiiii−i−i−i−ii−i−i−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−iiiii−i−i
χ271111111111-11111-1-1111-1-1-1-1iiiiiiiiii−iiiii−i−iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-11111−i−i−i−i−i−i−i−i−i−ii−i−i−i−iii−i−i−iiiii
χ281111111111-111-1-1111-1-111-1-1iiiiiiiiii−iii−i−iiii−i−iii−i−i-1-1-1-1-1-1-1-1-1-11-1-111-1-1-111-1-111−i−i−i−i−i−i−i−i−i−ii−i−iii−i−i−iii−i−iii
χ2911111-111111-1-1i−ii−i-1i−ii−i1-1iiiii−iiiiii−i−i-11-11−i-11-11i−i-1-1-1-1-11-1-1-1-1-111−ii−ii1−ii−ii-11−i−i−i−i−ii−i−i−i−i−iii1-11-1i1-11-1−ii
χ3011111-111111-1-1−ii−ii-1−ii−ii1-1iiiii−iiiiii−i−i1-11-1−i1-11-1i−i-1-1-1-1-11-1-1-1-1-111i−ii−i1i−ii−i-11−i−i−i−i−ii−i−i−i−i−iii-11-11i-11-11−ii
χ3111111-11111-1-1-1i−i−ii-1i−i−ii-11iiiii−iiiii−i−i−i-111-1−i-111-1−ii-1-1-1-1-11-1-1-1-1111−iii−i1−iii−i1-1−i−i−i−i−ii−i−i−i−iiii1-1-11i1-1-11i−i
χ3211111-11111-1-1-1−iii−i-1−iii−i-11iiiii−iiiii−i−i−i1-1-11−i1-1-11−ii-1-1-1-1-11-1-1-1-1111i−i−ii1i−i−ii1-1−i−i−i−i−ii−i−i−i−iiii-111-1i-111-1i−i
χ3322-1-1222-1-1-102-10022-100-1-1002i2i−i−i2i2i2i−i−i−i02i−i002i2i−i00−i−i00-2-211-2-2-21110-2100-2-21001100−2i−2iii−2i−2i−2iiii0−2ii00−2i−2ii00ii00
χ3422-1-1222-1-1-102-100-2-2-10011002i2i−i−i2i2i2i−i−i−i02i−i00−2i−2i−i00ii00-2-211-2-2-21110-210022100-1-100−2i−2iii−2i−2i−2iiii0−2ii002i2ii00−i−i00
χ3522-1-12-22-1-1-10-21002i−2i100−ii002i2i−i−i2i−2i2i−i−i−i0−2ii00-22i001-100-2-211-22-211102-100−2i2i-100i−i00−2i−2iii−2i2i−2iiii02i−i002-2−i00-1100
χ3622-1-12-22-1-1-10-2100−2i2i100i−i002i2i−i−i2i−2i2i−i−i−i0−2ii002-2i00-1100-2-211-22-211102-1002i−2i-100−ii00−2i−2iii−2i2i−2iiii02i−i00-22−i001-100
χ372-12-122-12-1-10-122200-1-1-100002i−i2i−i2i2i−i2i−i−i0−i2i2i2i00−i−i−i0000-21-21-2-21-21101-2-2-2001110000−2ii−2ii−2i−2ii−2iii0i−2i−2i−2i00iii0000
χ382-12-122-12-1-10-12-2-200-11100002i−i2i−i2i2i−i2i−i−i0−i2i−2i−2i00−iii0000-21-21-2-21-21101-222001-1-10000−2ii−2ii−2i−2ii−2iii0i−2i2i2i00i−i−i0000
χ392-12-12-2-12-1-101-22i−2i001−ii00002i−i2i−i2i−2i−i2i−i−i0i−2i-2200i1-10000-21-21-221-2110-12−2i2i00-1i−i0000−2ii−2ii−2i2ii−2iii0−i2i2-200−i-110000
χ402-12-12-2-12-1-101-2−2i2i001i−i00002i−i2i−i2i−2i−i2i−i−i0i−2i2-200i-110000-21-21-221-2110-122i−2i00-1−ii0000−2ii−2ii−2i2ii−2iii0−i2i-2200−i1-10000
χ414444-10-1-1-1-1400000000000-104i4i4i4i−i0−i−i−i−i4i00000000000−i0-4-4-4-4101111-40000000000010−4i−4i−4i−4ii0iiii−4i00000000000i0
χ424444-10-1-1-1-1-400000000000104i4i4i4i−i0−i−i−i−i−4i00000000000i0-4-4-4-4101111400000000000-10−4i−4i−4i−4ii0iiii4i00000000000−i0
χ434-2-2144-2-2110-2-2000010000004i−2i−2ii4i4i−2i−2iii0−2i−2i0000i000000-422-1-4-422-1-10220000-1000000−4i2i2i−i−4i−4i2i2i−i−i02i2i0000−i000000
χ444-2-214-4-2-2110220000-10000004i−2i−2ii4i−4i−2i−2iii02i2i0000−i000000-422-1-4422-1-10-2-200001000000−4i2i2i−i−4i4i2i2i−i−i0−2i−2i0000i000000
χ4588-4-4-20-2111000000000000008i8i−4i−4i−2i0−2iiii00000000000000-8-844202-1-1-100000000000000−8i−8i4i4i2i02i−i−i−i00000000000000
χ468-48-4-201-211000000000000008i−4i8i−4i−2i0i−2iii00000000000000-84-8420-12-1-100000000000000−8i4i−8i4i2i0−i2i−i−i00000000000000
χ478-4-42-2011−1+352−1−352000000000000008i−4i−4i2i−2i0iiζ3+ζ7−2ζ11−2ζ19−2ζ3−2ζ7+ζ11+ζ1900000000000000-844-220-1-11−3521+35200000000000000−8i4i4i−2i2i0−i−i−ζ3−ζ7+2ζ11+2ζ192ζ3+2ζ7−ζ11−ζ1900000000000000
χ488-4-42-2011−1−352−1+352000000000000008i−4i−4i2i−2i0ii−2ζ3−2ζ7+ζ11+ζ19ζ3+ζ7−2ζ11−2ζ1900000000000000-844-220-1-11+3521−35200000000000000−8i4i4i−2i2i0−i−i2ζ3+2ζ7−ζ11−ζ19−ζ3−ζ7+2ζ11+2ζ1900000000000000
χ49111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ501111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-11111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1
χ511111111111-11111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-111111111111111-11111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-11111
χ521111111111-111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-111-1-1111111111111-111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-111-1-111
χ5311111-111111-1-1i−ii−i-1i−ii−i1-1-1-1-1-1-11-1-1-1-1-111−ii−ii1−ii−ii-1111111-111111-1-1i−ii−i-1i−ii−i1-1-1-1-1-1-11-1-1-1-1-111−ii−ii1−ii−ii-11
χ5411111-111111-1-1−ii−ii-1−ii−ii1-1-1-1-1-1-11-1-1-1-1-111i−ii−i1i−ii−i-1111111-111111-1-1−ii−ii-1−ii−ii1-1-1-1-1-1-11-1-1-1-1-111i−ii−i1i−ii−i-11
χ5511111-11111-1-1-1i−i−ii-1i−i−ii-11-1-1-1-1-11-1-1-1-1111−iii−i1−iii−i1-111111-11111-1-1-1i−i−ii-1i−i−ii-11-1-1-1-1-11-1-1-1-1111−iii−i1−iii−i1-1
χ5611111-11111-1-1-1−iii−i-1−iii−i-11-1-1-1-1-11-1-1-1-1111i−i−ii1i−i−ii1-111111-11111-1-1-1−iii−i-1−iii−i-11-1-1-1-1-11-1-1-1-1111i−i−ii1i−i−ii1-1
χ5722-1-1222-1-1-102-10022-100-1-100-2-211-2-2-21110-2100-2-2100110022-1-1222-1-1-102-10022-100-1-100-2-211-2-2-21110-2100-2-21001100
χ5822-1-1222-1-1-102-100-2-2-1001100-2-211-2-2-21110-210022100-1-10022-1-1222-1-1-102-100-2-2-1001100-2-211-2-2-21110-210022100-1-100
χ5922-1-12-22-1-1-10-21002i−2i100−ii00-2-211-22-211102-100−2i2i-100i−i0022-1-12-22-1-1-10-21002i−2i100−ii00-2-211-22-211102-100−2i2i-100i−i00
χ6022-1-12-22-1-1-10-2100−2i2i100i−i00-2-211-22-211102-1002i−2i-100−ii0022-1-12-22-1-1-10-2100−2i2i100i−i00-2-211-22-211102-1002i−2i-100−ii00
χ612-12-122-12-1-10-122200-1-1-10000-21-21-2-21-21101-2-2-20011100002-12-122-12-1-10-122200-1-1-10000-21-21-2-21-21101-2-2-2001110000
χ622-12-122-12-1-10-12-2-200-1110000-21-21-2-21-21101-222001-1-100002-12-122-12-1-10-12-2-200-1110000-21-21-2-21-21101-222001-1-10000
χ632-12-12-2-12-1-101-22i−2i001−ii0000-21-21-221-2110-12−2i2i00-1i−i00002-12-12-2-12-1-101-22i−2i001−ii0000-21-21-221-2110-12−2i2i00-1i−i0000
χ642-12-12-2-12-1-101-2−2i2i001i−i0000-21-21-221-2110-122i−2i00-1−ii00002-12-12-2-12-1-101-2−2i2i001i−i0000-21-21-221-2110-122i−2i00-1−ii0000
χ654444-10-1-1-1-1400000000000-10-4-4-4-4101111-400000000000104444-10-1-1-1-1400000000000-10-4-4-4-4101111-40000000000010
χ664444-10-1-1-1-1-40000000000010-4-4-4-4101111400000000000-104444-10-1-1-1-1-40000000000010-4-4-4-4101111400000000000-10
χ674-2-2144-2-2110-2-200001000000-422-1-4-422-1-10220000-10000004-2-2144-2-2110-2-200001000000-422-1-4-422-1-10220000-1000000
χ684-2-214-4-2-2110220000-1000000-422-1-4422-1-10-2-2000010000004-2-214-4-2-2110220000-1000000-422-1-4422-1-10-2-200001000000
χ6988-4-4-20-211100000000000000-8-844202-1-1-10000000000000088-4-4-20-211100000000000000-8-844202-1-1-100000000000000
χ708-48-4-201-21100000000000000-84-8420-12-1-1000000000000008-48-4-201-21100000000000000-84-8420-12-1-100000000000000
χ718-4-42-2011−1+352−1−35200000000000000-844-220-1-11−3521+352000000000000008-4-42-2011−1+352−1−35200000000000000-844-220-1-11−3521+35200000000000000
χ728-4-42-2011−1−352−1+35200000000000000-844-220-1-11+3521−352000000000000008-4-42-2011−1−352−1+35200000000000000-844-220-1-11+3521−35200000000000000
χ73111111111111111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiii
χ741111111111111-1-1-1-11-1-1-1-111−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−iiiii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1iiiiiiiiiiiii−i−i−i−ii−i−i−i−iii
χ751111111111-11111-1-1111-1-1-1-1−i−i−i−i−i−i−i−i−i−ii−i−i−i−iii−i−i−iiiii-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-11111iiiiiiiiii−iiiii−i−iiii−i−i−i−i
χ761111111111-111-1-1111-1-111-1-1−i−i−i−i−i−i−i−i−i−ii−i−iii−i−i−iii−i−iii-1-1-1-1-1-1-1-1-1-11-1-111-1-1-111-1-111iiiiiiiiii−iii−i−iiii−i−iii−i−i
χ7711111-111111-1-1i−ii−i-1i−ii−i1-1−i−i−i−i−ii−i−i−i−i−iii1-11-1i1-11-1−ii-1-1-1-1-11-1-1-1-1-111−ii−ii1−ii−ii-11iiiii−iiiiii−i−i-11-11−i-11-11i−i
χ7811111-111111-1-1−ii−ii-1−ii−ii1-1−i−i−i−i−ii−i−i−i−i−iii-11-11i-11-11−ii-1-1-1-1-11-1-1-1-1-111i−ii−i1i−ii−i-11iiiii−iiiiii−i−i1-11-1−i1-11-1i−i
χ7911111-11111-1-1-1i−i−ii-1i−i−ii-11−i−i−i−i−ii−i−i−i−iiii1-1-11i1-1-11i−i-1-1-1-1-11-1-1-1-1111−iii−i1−iii−i1-1iiiii−iiiii−i−i−i-111-1−i-111-1−ii
χ8011111-11111-1-1-1−iii−i-1−iii−i-11−i−i−i−i−ii−i−i−i−iiii-111-1i-111-1i−i-1-1-1-1-11-1-1-1-1111i−i−ii1i−i−ii1-1iiiii−iiiii−i−i−i1-1-11−i1-1-11−ii
χ8122-1-1222-1-1-102-10022-100-1-100−2i−2iii−2i−2i−2iiii0−2ii00−2i−2ii00ii00-2-211-2-2-21110-2100-2-210011002i2i−i−i2i2i2i−i−i−i02i−i002i2i−i00−i−i00
χ8222-1-1222-1-1-102-100-2-2-1001100−2i−2iii−2i−2i−2iiii0−2ii002i2ii00−i−i00-2-211-2-2-21110-210022100-1-1002i2i−i−i2i2i2i−i−i−i02i−i00−2i−2i−i00ii00
χ8322-1-12-22-1-1-10-21002i−2i100−ii00−2i−2iii−2i2i−2iiii02i−i002-2−i00-1100-2-211-22-211102-100−2i2i-100i−i002i2i−i−i2i−2i2i−i−i−i0−2ii00-22i001-100
χ8422-1-12-22-1-1-10-2100−2i2i100i−i00−2i−2iii−2i2i−2iiii02i−i00-22−i001-100-2-211-22-211102-1002i−2i-100−ii002i2i−i−i2i−2i2i−i−i−i0−2ii002-2i00-1100
χ852-12-122-12-1-10-122200-1-1-10000−2ii−2ii−2i−2ii−2iii0i−2i−2i−2i00iii0000-21-21-2-21-21101-2-2-20011100002i−i2i−i2i2i−i2i−i−i0−i2i2i2i00−i−i−i0000
χ862-12-122-12-1-10-12-2-200-1110000−2ii−2ii−2i−2ii−2iii0i−2i2i2i00i−i−i0000-21-21-2-21-21101-222001-1-100002i−i2i−i2i2i−i2i−i−i0−i2i−2i−2i00−iii0000
χ872-12-12-2-12-1-101-22i−2i001−ii0000−2ii−2ii−2i2ii−2iii0−i2i2-200−i-110000-21-21-221-2110-12−2i2i00-1i−i00002i−i2i−i2i−2i−i2i−i−i0i−2i-2200i1-10000
χ882-12-12-2-12-1-101-2−2i2i001i−i0000−2ii−2ii−2i2ii−2iii0−i2i-2200−i1-10000-21-21-221-2110-122i−2i00-1−ii00002i−i2i−i2i−2i−i2i−i−i0i−2i2-200i-110000
χ894444-10-1-1-1-1400000000000-10−4i−4i−4i−4ii0iiii−4i00000000000i0-4-4-4-4101111-400000000000104i4i4i4i−i0−i−i−i−i4i00000000000−i0
χ904444-10-1-1-1-1-40000000000010−4i−4i−4i−4ii0iiii4i00000000000−i0-4-4-4-4101111400000000000-104i4i4i4i−i0−i−i−i−i−4i00000000000i0
χ914-2-2144-2-2110-2-200001000000−4i2i2i−i−4i−4i2i2i−i−i02i2i0000−i000000-422-1-4-422-1-10220000-10000004i−2i−2ii4i4i−2i−2iii0−2i−2i0000i000000
χ924-2-214-4-2-2110220000-1000000−4i2i2i−i−4i4i2i2i−i−i0−2i−2i0000i000000-422-1-4422-1-10-2-2000010000004i−2i−2ii4i−4i−2i−2iii02i2i0000−i000000
χ9388-4-4-20-211100000000000000−8i−8i4i4i2i02i−i−i−i00000000000000-8-844202-1-1-1000000000000008i8i−4i−4i−2i0−2iiii00000000000000
χ948-48-4-201-21100000000000000−8i4i−8i4i2i0−i2i−i−i00000000000000-84-8420-12-1-1000000000000008i−4i8i−4i−2i0i−2iii00000000000000
χ958-4-42-2011−1+352−1−35200000000000000−8i4i4i−2i2i0−i−i−ζ3−ζ7+2ζ11+2ζ192ζ3+2ζ7−ζ11−ζ1900000000000000-844-220-1-11−3521+352000000000000008i−4i−4i2i−2i0iiζ3+ζ7−2ζ11−2ζ19−2ζ3−2ζ7+ζ11+ζ1900000000000000
χ968-4-42-2011−1−352−1+35200000000000000−8i4i4i−2i2i0−i−i2ζ3+2ζ7−ζ11−ζ19−ζ3−ζ7+2ζ11+2ζ1900000000000000-844-220-1-11+3521−352000000000000008i−4i−4i2i−2i0ii−2ζ3−2ζ7+ζ11+ζ19ζ3+ζ7−2ζ11−2ζ1900000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.