Finite Group Databasebeta

← Group #72230059

Character table — Group #72230059

Order 2880.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1122222222222444444444444444444444444558888888888888888888888888888881010101010101010101010121212121212202020202020202020202020242424242424242424242424606060606060606060606060606060606060180180180180
order12222336666663566666666666101010151530303030303022101015151530303030303030303030303030303030303030303030303030222666666662466121266666666666610102020303030306060606024444466121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1ii−i−i-1-1-1-1iiii−i−i−i−iii−i−i
χ61111111111111111111111111111111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1−i−iii-1-1-1-1−i−i−i−iiiii−i−iii
χ71111111111111111111111111111111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i1111iiii−i−i−i−i−i−iii
χ81111111111111111111111111111111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iii1111−i−i−i−iiiiiii−i−i
χ9111-1-1111-1-1111111-1-1-1111-1-1-1-11111111111111-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-11-111-1-11-1-1-11111-1-1-1-111-1-11111-1-1-1-11-1i−ii−i11-1-1ii−i−iii−i−ii−ii−i
χ10111-1-1111-1-1111111-1-1-1111-1-1-1-11111111111111-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-11-111-1-11-1-1-11111-1-1-1-111-1-11111-1-1-1-11-1−ii−ii11-1-1−i−iii−i−iii−ii−ii
χ11111-1-1111-1-1111111-1-1-1111-1-1-1-11111111111111-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-11-1-1111-1-1-11111-1-1-1-1-1-111-1-1-1-11111-11i−ii−i-1-111ii−i−iii−i−i−ii−ii
χ12111-1-1111-1-1111111-1-1-1111-1-1-1-11111111111111-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-11-1-1111-1-1-11111-1-1-1-1-1-111-1-1-1-11111-11−ii−ii-1-111−i−iii−i−iiii−ii−i
χ13111-1-1111-1-1111111-1-1-1111-1-1-1-111111111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-111-1-1-1111-1-1-1-1111111-1-11111-1-1-1-1-111-1-11-1-11111-1-1-1-1111-1-11
χ14111-1-1111-1-1111111-1-1-1111-1-1-1-111111111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-111-1-1-1111-1-1-1-1111111-1-11111-1-1-1-1-11-111-1-1-111-1-11111-1-1-111-1
χ15111-1-1111-1-1111111-1-1-1111-1-1-1-111111111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-11-1-111-1111-1-1-1-11111-1-111-1-1-1-111111-11-1-1111-1-111-1-1-1-111-111-1
χ16111-1-1111-1-1111111-1-1-1111-1-1-1-111111111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-11-1-111-1111-1-1-1-11111-1-111-1-1-1-111111-1-111-111-1-1-1-11111-1-11-1-11
χ17222222-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-122222-1-1-1-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1220000-1-1-1-1000000000000
χ18222222-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-122222-1-1-1-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222-1-1-1-122-2-2111122-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-200001111000000000000
χ19222222-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2222-1-1-1-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-21111-2-222-1-1-1-1-2-211111111112222-1-1-1-1-1-1-1-1-2-200001111000000000000
χ20222222-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2222-1-1-1-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-21111-2-2-2-21111-2-21111111111-2-2-2-211111111220000-1-1-1-1000000000000
χ2122222-12-1-1-1222-12-1-122-1-1-1-1-1-1-1222222222222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-12222-1-1000000-1-122-1-1-1-1-1-1-1-10000000000000022220000-1-1-1-1-1-1-1-10000
χ2222222-12-1-1-1222-12-1-122-1-1-1-1-1-1-1222222222222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-12222-1-1000000-1-122-1-1-1-1-1-1-1-100000000000000-2-2-2-20000111111110000
χ2322222-12-1-1-1222-12-1-122-1-1-1-1-1-1-122222222222-2-222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211-2-2-2-21100000011-2-211111111000000000000002i2i−2i−2i0000−i−i−i−iiiii0000
χ2422222-12-1-1-1222-12-1-122-1-1-1-1-1-1-122222222222-2-222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211-2-2-2-21100000011-2-21111111100000000000000−2i−2i2i2i0000iiii−i−i−i−i0000
χ25222-2-22-12-2-2-1-1-1-122-211-1-1-11111222-1-1-1-1-1-1-1-122-2-22-1-11111222-1-1-1-1-1-1-2-2-2-2111111112-2-222-1-1-1-1-2-22-2-1-1112-211-1-1-1-1111122-2-2-1-1-1-111112-20000-1-111000000000000
χ26222-2-22-12-2-2-1-1-1-122-211-1-1-11111222-1-1-1-1-1-1-1-122-2-22-1-11111222-1-1-1-1-1-1-2-2-2-2111111112-2-222-1-1-1-1-2-2-2211-1-12-211-1-1-1-11111-2-2221111-1-1-1-1-22000011-1-1000000000000
χ27222-2-22-12-2-2-1-1-1-122-211-1-1-11111222-1-1-1-1-1-1-1-1-2-2-2-22-1-11111222-1-1-1-1-1-1-2-2-2-211111111-222-2-21111222-2-1-111-22-1-11111-1-1-1-122-2-2-1-1-1-11111-22000011-1-1000000000000
χ28222-2-22-12-2-2-1-1-1-122-211-1-1-11111222-1-1-1-1-1-1-1-1-2-2-2-22-1-11111222-1-1-1-1-1-1-2-2-2-211111111-222-2-2111122-2211-1-1-22-1-11111-1-1-1-1-2-2221111-1-1-1-12-20000-1-111000000000000
χ29222-2-2-12-111222-12-11-2-2-1-1-111112222222222222-2-2-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-11111111111112-2-2-1-1222211000000-11-2-2-1-1-1-11111000000000000002i−2i2i−2i0000−i−iii−i−iii0000
χ30222-2-2-12-111222-12-11-2-2-1-1-111112222222222222-2-2-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-11111111111112-2-2-1-1222211000000-11-2-2-1-1-1-1111100000000000000−2i2i−2i2i0000ii−i−iii−i−i0000
χ31222-2-2-12-111222-12-11-2-2-1-1-1111122222222222-2-2-2-2-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1111111111111-22211-2-2-2-2-1-10000001-1221111-1-1-1-1000000000000002-2-220000-1-11111-1-10000
χ32222-2-2-12-111222-12-11-2-2-1-1-1111122222222222-2-2-2-2-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1111111111111-22211-2-2-2-2-1-10000001-1221111-1-1-1-100000000000000-222-2000011-1-1-1-1110000
χ3322-22-222222-2-2222-2-22-22-2-222-2-2-2-2222-2-2-2-222222-222222-2-22-2-222-2-2-2-222-2-22222-2-2-2-2-22-22222-2-222000000-2-22-222-2-222-2-20000000000000000000000000000000000
χ3422-22-222222-2-2222-2-22-22-2-222-2-2-2-2222-2-2-2-222-2-22-222222-2-22-2-222-2-2-2-222-2-22222-2-2-2-22-22-2-2-2-222-2-200000022-22-2-222-2-2220000000000000000000000000000000000
χ3522-22-22-122211-1-12-2-2-11-111-1-111-2-22-1-11111-1-1222-22-1-1-1-1112-2-2-1-1111122-2-2-1-1-1-11111-22-222-1-1112200−i3i3−i3i3-2-2-11-1-111-1-1110000−i3−i3i3i3−i3−i3i3i3000000−i3i3−i3i3000000000000
χ3622-22-22-122211-1-12-2-2-11-111-1-111-2-22-1-11111-1-1222-22-1-1-1-1112-2-2-1-1111122-2-2-1-1-1-11111-22-222-1-1112200i3−i3i3−i3-2-2-11-1-111-1-1110000i3i3−i3−i3i3i3−i3−i3000000i3−i3i3−i3000000000000
χ3722-22-22-122211-1-12-2-2-11-111-1-111-2-22-1-11111-1-1-2-22-22-1-1-1-1112-2-2-1-1111122-2-2-1-1-1-111112-22-2-211-1-1-2-200−i3i3−i3i3221-111-1-111-1-10000−i3−i3i3i3−i3−i3i3i3000000i3−i3i3−i3000000000000
χ3822-22-22-122211-1-12-2-2-11-111-1-111-2-22-1-11111-1-1-2-22-22-1-1-1-1112-2-2-1-1111122-2-2-1-1-1-111112-22-2-211-1-1-2-200i3−i3i3−i3221-111-1-111-1-10000i3i3−i3−i3i3i3−i3−i3000000−i3i3−i3i3000000000000
χ3922-22-2-12-1-1-1-2-22-12112-2-111-1-111-2-2222-2-2-2-222222-2-1-1-122-2-2-111-1-11111-1-111-1-1-1-11111-22-2-1-122-2-2-1-1000000112-2-1-111-1-1110000000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ4022-22-2-12-1-1-1-2-22-12112-2-111-1-111-2-2222-2-2-2-222222-2-1-1-122-2-2-111-1-11111-1-111-1-1-1-11111-22-2-1-122-2-2-1-1000000112-2-1-111-1-1110000000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ4122-22-2-12-1-1-1-2-22-12112-2-111-1-111-2-2222-2-2-2-222-2-22-2-1-1-122-2-2-111-1-11111-1-111-1-1-1-111112-2211-2-22211000000-1-1-2211-1-111-1-100000000000000000000003−33−3−33−330000
χ4222-22-2-12-1-1-1-2-22-12112-2-111-1-111-2-2222-2-2-2-222-2-22-2-1-1-122-2-2-111-1-11111-1-111-1-1-1-111112-2211-2-22211000000-1-1-2211-1-111-1-10000000000000000000000−33−333−33−30000
χ4322-2-22222-2-2-2-2222-22-222-2-2-2-222-2-2222-2-2-2-22222-22222-2-2222-2-222-2-2-2-2-2-222-2-2-2-22222-2-222222-2-2-2-2000000-22-2222-2-2-2-2220000000000000000000000000000000000
χ4422-2-22222-2-2-2-2222-22-222-2-2-2-222-2-2222-2-2-2-222-2-2-22222-2-2222-2-222-2-2-2-2-2-222-2-2-2-2222222-2-2-2-2-222220000002-22-2-2-22222-2-20000000000000000000000000000000000
χ4522-2-222-12-2-211-1-12-221-1-11111-1-1-2-22-1-11111-1-122-222-1-111-1-12-2-2-1-11111-2-2221111-1-1-1-1-2-2222-1-111-2-200−i3i3i3−i3-221-1-1-11111-1-10000−i3−i3i3i3i3i3−i3−i3000000−i3i3i3−i3000000000000
χ4622-2-222-12-2-211-1-12-221-1-11111-1-1-2-22-1-11111-1-122-222-1-111-1-12-2-2-1-11111-2-2221111-1-1-1-1-2-2222-1-111-2-200i3−i3−i3i3-221-1-1-11111-1-10000i3i3−i3−i3−i3−i3i3i3000000i3−i3−i3i3000000000000
χ4722-2-222-12-2-211-1-12-221-1-11111-1-1-2-22-1-11111-1-1-2-2-222-1-111-1-12-2-2-1-11111-2-2221111-1-1-1-122-2-2-211-1-12200−i3i3i3−i32-2-1111-1-1-1-1110000−i3−i3i3i3i3i3−i3−i3000000i3−i3−i3i3000000000000
χ4822-2-222-12-2-211-1-12-221-1-11111-1-1-2-22-1-11111-1-1-2-2-222-1-111-1-12-2-2-1-11111-2-2221111-1-1-1-122-2-2-211-1-12200i3−i3−i3i32-2-1111-1-1-1-1110000i3i3−i3−i3−i3−i3i3i3000000−i3i3i3−i3000000000000
χ4922-2-22-12-111-2-22-121-1-22-11111-1-1-2-2222-2-2-2-22222-22-1-1-1-2-222-111-1-1111111-1-11111-1-1-1-1-2-22-1-122-2-2110000001-1-22-1-11111-1-100000000000000000000003−3−333−3−330000
χ5022-2-22-12-111-2-22-121-1-22-11111-1-1-2-2222-2-2-2-22222-22-1-1-1-2-222-111-1-1111111-1-11111-1-1-1-1-2-22-1-122-2-2110000001-1-22-1-11111-1-10000000000000000000000−333−3−333−30000
χ5122-2-22-12-111-2-22-121-1-22-11111-1-1-2-2222-2-2-2-222-2-2-22-1-1-1-2-222-111-1-1111111-1-11111-1-1-1-122-211-2-222-1-1000000-112-211-1-1-1-1110000000000000000000000−i3i3i3−i3i3−i3−i3i30000
χ5222-2-22-12-111-2-22-121-1-22-11111-1-1-2-2222-2-2-2-222-2-2-22-1-1-1-2-222-111-1-1111111-1-11111-1-1-1-122-211-2-222-1-1000000-112-211-1-1-1-1110000000000000000000000i3−i3−i3i3−i3i3i3−i30000
χ5344444444444444-144444444444-1-1-1-1-1-1-1-1-1-1-100-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000444444000000000000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000
χ5444444444444444-144444444444-1-1-1-1-1-1-1-1-1-1-100-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000-4-4-4-4-4-40000000000001111111111110000000000000000000000
χ55444444-2444-2-2-2-2-144-2-2-2-2-2-2-2-2-2-1-1-11−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i15200-1-1-11−i1521+i1521−i1521+i1521−i1521+i152-1-1-11−i1521+i1521−i1521−i1521+i1521+i152-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1520000000000044-2-2-2-2000000000000-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1520000000000000000000000
χ56444444-2444-2-2-2-2-144-2-2-2-2-2-2-2-2-2-1-1-11−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i15200-1-1-11−i1521+i1521−i1521+i1521−i1521+i152-1-1-11−i1521+i1521−i1521−i1521+i1521+i152-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i15200000000000-4-422220000000000001111−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i1520000000000000000000000
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χ11188-88-8-4-4-4-4-444-42-244-442-2-222-2-222-21+i151−i15−1−i15−1−i15−1+i15−1+i151+i151−i1500-221−1−i152−1+i1521+i151−i15−1−i15−1+i151-1-1−1−i152−1+i1521+i1521+i1521−i1521−i15211-1-1−1−i152−1−i152−1+i152−1+i1521+i1521+i1521−i1521−i152000000000000000000000000000000000000000000000000000000000000000
χ11288-8-88-48-444-8-88-4-24-4-88-44444-4-422-2-2-22222-2-2002-211122-2-21-1-111-1-1-1-1-1-111-1-1-1-11111000000000000000000000000000000000000000000000000000000000000000
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χ11488-8-88-4-4-44444-42-24-44-42-2-2-2-22222-21+i151−i15−1−i15−1−i15−1+i15−1+i151+i151−i15002-21−1−i152−1+i152−1−i15−1+i151+i151−i151-1-1−1−i152−1+i1521+i1521+i1521−i1521−i152-1-1111+i1521+i1521−i1521−i152−1−i152−1−i152−1+i152−1+i152000000000000000000000000000000000000000000000000000000000000000
χ1158-800088-80000-88-20000-8000000−25252-2-2−252525−25220000-2-2-200002−252522−252525−25000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1188-80008-4-800−4i34i34-4-200004−4i34i3000025−2521−i151+i152ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ582ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ46−1+i15−1−i150000-21−i151+i150000225−25−1+i15−1−i152ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ582ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ46000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-80008-4-8004i3−4i34-4-2000044i3−4i30000−252521−i151+i15−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−1+i15−1−i150000-21−i151+i1500002−2525−1+i15−1−i15−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-80008-4-8004i3−4i34-4-2000044i3−4i3000025−2521+i151−i15−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−1−i15−1+i150000-21+i151−i150000225−25−1−i15−1+i15−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-8000-484−4i34i300-8-4-20000400−4i34i300−25252-2-2−252525−252200001110000-15−5-1-15−5−55i3−i3−i15i15i3−i3i3−i3−i15i15i15−i15000000000000000000000000000000000000000000000000000000000000000
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χ1248-8000-4844i3−4i300-8-4-200004004i3−4i30025−252-2-225−25−25252200001110000-1−55-1-1−555−5−i3i3−i15i15−i3i3−i3i3−i15i15i15−i15000000000000000000000000000000000000000000000000000000000000000
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χ1268-8000-4-44−4i34i3−4i34i342-20000-22i3−2i32i3−2i36-625−2521−i151+i152ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ582ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ46−1+i15−1−i1500001−1+i152−1−i1520000-1−551−i1521+i152−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ46i3−i3i15−i15−2ζ2+ζ14−ζ22+ζ26+2ζ34−2ζ38+2ζ46−ζ582ζ2−ζ14+ζ22−ζ26−2ζ34+2ζ38−2ζ46+ζ58ζ2−2ζ14+2ζ22−2ζ26−ζ34+ζ38−ζ46+2ζ58−ζ2+2ζ14−2ζ22+2ζ26+ζ34−ζ38+ζ46−2ζ58−3−i1523+i152−3+i1523−i152000000000000000000000000000000000000000000000000000000000000000
χ1278-8000-4-44−4i34i34i3−4i342-20000-2−2i32i32i3−2i3-66−252521−i151+i15−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−1+i15−1−i1500001−1+i152−1−i1520000-15−51−i1521+i152ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46i3−i3−i15i15−2ζ2+ζ14−ζ22+ζ26+2ζ34−2ζ38+2ζ46−ζ582ζ2−ζ14+ζ22−ζ26−2ζ34+2ζ38−2ζ46+ζ58ζ2−2ζ14+2ζ22−2ζ26−ζ34+ζ38−ζ46+2ζ58−ζ2+2ζ14−2ζ22+2ζ26+ζ34−ζ38+ζ46−2ζ583+i152−3−i1523−i152−3+i152000000000000000000000000000000000000000000000000000000000000000
χ1288-8000-4-44−4i34i34i3−4i342-20000-2−2i32i32i3−2i3-6625−2521+i151−i15−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−1−i15−1+i1500001−1−i152−1+i1520000-1−551+i1521−i152ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58i3−i3i15−i15ζ2−2ζ14+2ζ22−2ζ26−ζ34+ζ38−ζ46+2ζ58−ζ2+2ζ14−2ζ22+2ζ26+ζ34−ζ38+ζ46−2ζ58−2ζ2+ζ14−ζ22+ζ26+2ζ34−2ζ38+2ζ46−ζ582ζ2−ζ14+ζ22−ζ26−2ζ34+2ζ38−2ζ46+ζ583−i152−3+i1523+i152−3−i152000000000000000000000000000000000000000000000000000000000000000
χ1298-8000-4-444i3−4i3−4i34i342-20000-22i3−2i3−2i32i3-66−252521+i151−i152ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ462ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ58−1−i15−1+i1500001−1−i152−1+i1520000-15−51+i1521−i152−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ58−i3i3i15−i15−ζ2+2ζ14−2ζ22+2ζ26+ζ34−ζ38+ζ46−2ζ58ζ2−2ζ14+2ζ22−2ζ26−ζ34+ζ38−ζ46+2ζ582ζ2−ζ14+ζ22−ζ26−2ζ34+2ζ38−2ζ46+ζ58−2ζ2+ζ14−ζ22+ζ26+2ζ34−2ζ38+2ζ46−ζ583−i152−3+i1523+i152−3−i152000000000000000000000000000000000000000000000000000000000000000
χ1308-8000-4-444i3−4i3−4i34i342-20000-22i3−2i3−2i32i3-6625−2521−i151+i152ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ582ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ46−1+i15−1−i1500001−1+i152−1−i1520000-1−551−i1521+i152−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ46−i3i3−i15i152ζ2−ζ14+ζ22−ζ26−2ζ34+2ζ38−2ζ46+ζ58−2ζ2+ζ14−ζ22+ζ26+2ζ34−2ζ38+2ζ46−ζ58−ζ2+2ζ14−2ζ22+2ζ26+ζ34−ζ38+ζ46−2ζ58ζ2−2ζ14+2ζ22−2ζ26−ζ34+ζ38−ζ46+2ζ583+i152−3−i1523−i152−3+i152000000000000000000000000000000000000000000000000000000000000000
χ1318-8000-4-444i3−4i34i3−4i342-20000-2−2i32i3−2i32i36-6−252521−i151+i15−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−1+i15−1−i1500001−1+i152−1−i1520000-15−51−i1521+i152ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46−i3i3i15−i152ζ2−ζ14+ζ22−ζ26−2ζ34+2ζ38−2ζ46+ζ58−2ζ2+ζ14−ζ22+ζ26+2ζ34−2ζ38+2ζ46−ζ58−ζ2+2ζ14−2ζ22+2ζ26+ζ34−ζ38+ζ46−2ζ58ζ2−2ζ14+2ζ22−2ζ26−ζ34+ζ38−ζ46+2ζ58−3−i1523+i152−3+i1523−i152000000000000000000000000000000000000000000000000000000000000000
χ1328-8000-4-444i3−4i34i3−4i342-20000-2−2i32i3−2i32i36-625−2521+i151−i15−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−1−i15−1+i1500001−1−i152−1+i1520000-1−551+i1521−i152ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58−i3i3−i15i15−ζ2+2ζ14−2ζ22+2ζ26+ζ34−ζ38+ζ46−2ζ58ζ2−2ζ14+2ζ22−2ζ26−ζ34+ζ38−ζ46+2ζ582ζ2−ζ14+ζ22−ζ26−2ζ34+2ζ38−2ζ46+ζ58−2ζ2+ζ14−ζ22+ζ26+2ζ34−2ζ38+2ζ46−ζ58−3+i1523−i152−3−i1523+i152000000000000000000000000000000000000000000000000000000000000000

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