Finite Group Databasebeta

← Group #13145723

Character table — Group #13145723

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size112222222222222222222224444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444363636363636363636363636727272727272727272727272
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511-11111-1111-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1i−ii−iii−i−iii−i−i
χ611-11111-1111-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii
χ711-11111-1111-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111i−i−iiii−i−i−i−iii
χ811-11111-1111-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111−iii−i−i−iiiii−i−i
χ92222222222222-2-22222-2-2-2-22222222222222222222222-2222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000
χ10222222-2-22222200-2-2-2-2000022222222222222222222220-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2000000000000
χ11222222-2-22222200-2-2-2-2000022222222222222222222220-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2000000000000
χ1222222-12222-1222222-1-122222-1-1-1-12-122-1-1-1-1-1-1-1-12-1-1-1-122222-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000220000-1-1-1-1
χ1322222-12222-1222222-1-122222-1-1-1-12-122-1-1-1-1-1-1-1-12-1-1-1-122222-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-200001111
χ1422222-12222-122-2-222-1-1-2-2-2-22-1-1-1-12-122-1-1-1-1-1-1-1-12-1-1-1-1-22222-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111-2-2-2-2-2-211111111111111111100000000000000000000−i3i3−i3i3
χ1522222-12222-122-2-222-1-1-2-2-2-22-1-1-1-12-122-1-1-1-1-1-1-1-12-1-1-1-1-22222-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111-2-2-2-2-2-211111111111111111100000000000000000000i3−i3i3−i3
χ162222-12222-122222-1-122-1-1-1-1-12-1-1-1-12-1-122-1-1-1-1-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ172222-12222-122222-1-122-1-1-1-1-12-1-1-1-12-1-122-1-1-1-1-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ182222-12222-1222-2-2-1-1221111-12-1-1-1-12-1-122-1-1-1-1-1-1-12-1-1-1-22-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-111-2-21111-2-2-2-2-2-2111111111111-2-21111-2-2-2-2-2-211111111111100003−33−33−33−3000000000000
χ192222-12222-1222-2-2-1-1221111-12-1-1-1-12-1-122-1-1-1-1-1-1-12-1-1-1-22-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-111-2-21111-2-2-2-2-2-2111111111111-2-21111-2-2-2-2-2-21111111111110000−33−33−33−33000000000000
χ202222-12-2-22-12220011-2-233−3−3-12-1-1-1-12-1-122-1-1-1-1-1-1-12-1-1-10-2111-2-2111111-2-211-2-21111113−30033−3−3000000333333−3−3−3−3−3−30033−3−3000000333333−3−3−3−3−3−3−i2i2−i2i2ζ5+ζ7ζ13+ζ23−ζ5−ζ7−ζ13−ζ23ζ5+ζ7ζ13+ζ23−ζ5−ζ7−ζ13−ζ23000000000000
χ212222-12-2-22-12220011-2-233−3−3-12-1-1-1-12-1-122-1-1-1-1-1-1-12-1-1-10-2111-2-2111111-2-211-2-21111113−30033−3−3000000333333−3−3−3−3−3−30033−3−3000000333333−3−3−3−3−3−3i2−i2i2−i2−ζ5−ζ7−ζ13−ζ23ζ5+ζ7ζ13+ζ23−ζ5−ζ7−ζ13−ζ23ζ5+ζ7ζ13+ζ23000000000000
χ222222-12-2-22-12220011-2-2−3−333-12-1-1-1-12-1-122-1-1-1-1-1-1-12-1-1-10-2111-2-2111111-2-211-2-2111111−3300−3−333000000−3−3−3−3−3−333333300−3−333000000−3−3−3−3−3−3333333−i2i2−i2i2ζ13+ζ23ζ5+ζ7−ζ13−ζ23−ζ5−ζ7ζ13+ζ23ζ5+ζ7−ζ13−ζ23−ζ5−ζ7000000000000
χ232222-12-2-22-12220011-2-2−3−333-12-1-1-1-12-1-122-1-1-1-1-1-1-12-1-1-10-2111-2-2111111-2-211-2-2111111−3300−3−333000000−3−3−3−3−3−333333300−3−333000000−3−3−3−3−3−3333333i2−i2i2−i2−ζ13−ζ23−ζ5−ζ7ζ13+ζ23ζ5+ζ7−ζ13−ζ23−ζ5−ζ7ζ13+ζ23ζ5+ζ7000000000000
χ24222-12222-122-1-12222222222-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-12-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-10000000000002200-1-1-1-10000
χ25222-12222-122-1-12222222222-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-12-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1000000000000-2-20011110000
χ26222-12222-122-1-1-2-22222-2-2-2-2-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-1-2-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-2-2111111-2-21111-2-21111-2-21111111111-2-21111-2-21111-2-211110000000000000000−i3i3−i3i30000
χ27222-12222-122-1-1-2-22222-2-2-2-2-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-1-2-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-2-2111111-2-21111-2-21111-2-21111111111-2-21111-2-21111-2-211110000000000000000i3−i3i3−i30000
χ2822-22222-2222-2-2-2-222-2-2-2-2-2-222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222222222222000000000000000000000000
χ2922-2222-22222-2-200-2-222000022222-2-2-2-2-2-2-2-2-2-2-2-2222220222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000−i2i2i2−i2−i2−i2i2i2i2i2−i2−i2000000000000
χ3022-2222-22222-2-200-2-222000022222-2-2-2-2-2-2-2-2-2-2-2-2222220222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000i2−i2−i2i2i2i2−i2−i2−i2−i2i2i2000000000000
χ3122-222-12-222-1-2-222221122222-1-1-1-1-21-2-2111111112-1-1-1-1-2-2-2-2-2111111112-122-1-1-1-1-1-1-1-1-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111111111000000000000002i−2i0000−i−iii
χ3222-222-12-222-1-2-222221122222-1-1-1-1-21-2-2111111112-1-1-1-1-2-2-2-2-2111111112-122-1-1-1-1-1-1-1-1-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111111111111100000000000000−2i2i0000ii−i−i
χ3322-222-12-222-1-2-2-2-22211-2-2-2-22-1-1-1-1-21-2-2111111112-1-1-1-12-2-2-2-2111111112-122-1-1-1-1-1-1-1-122-2-2-2-2-2-2111111111111111111222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000003−3−33
χ3422-222-12-222-1-2-2-2-22211-2-2-2-22-1-1-1-1-21-2-2111111112-1-1-1-12-2-2-2-2111111112-122-1-1-1-1-1-1-1-122-2-2-2-2-2-2111111111111111111222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000−333−3
χ3522-22-122-22-12-2-222-1-1-2-2-1-1-1-1-12-1-1-11-211-2-2111111-12-1-1-1-2-2111-2-211111122-1-122-1-1-1-1-1-11122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-2-2-211111111111122-2-2-1-1-1-11111000000000000
χ3622-22-122-22-12-2-222-1-1-2-2-1-1-1-1-12-1-1-11-211-2-2111111-12-1-1-1-2-2111-2-211111122-1-122-1-1-1-1-1-11122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-2-2-2111111111111-2-2221111-1-1-1-1000000000000
χ3722-22-122-22-12-2-2-2-2-1-1-2-21111-12-1-1-11-211-2-2111111-12-1-1-12-2111-2-211111122-1-122-1-1-1-1-1-1-1-1-2-21111-2-2-2-2-2-211111111111122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100003−33−3−33−33000000000000
χ3822-22-122-22-12-2-2-2-2-1-1-2-21111-12-1-1-11-211-2-2111111-12-1-1-12-2111-2-211111122-1-122-1-1-1-1-1-1-1-1-2-21111-2-2-2-2-2-211111111111122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000−33−333−33−3000000000000
χ3922-22-12-222-12-2-200112233−3−3-12-1-1-11-211-2-2111111-12-1-1-102-1-1-122-1-1-1-1-1-1-2-211-2-2111111−330033−3−3000000333333−3−3−3−3−3−300−3−333000000−3−3−3−3−3−3333333−i2i2i2−i2ζ5+ζ7ζ13+ζ23−ζ5−ζ7−ζ13−ζ23−ζ5−ζ7−ζ13−ζ23ζ5+ζ7ζ13+ζ23000000000000
χ4022-22-12-222-12-2-200112233−3−3-12-1-1-11-211-2-2111111-12-1-1-102-1-1-122-1-1-1-1-1-1-2-211-2-2111111−330033−3−3000000333333−3−3−3−3−3−300−3−333000000−3−3−3−3−3−3333333i2−i2−i2i2−ζ5−ζ7−ζ13−ζ23ζ5+ζ7ζ13+ζ23ζ5+ζ7ζ13+ζ23−ζ5−ζ7−ζ13−ζ23000000000000
χ4122-22-12-222-12-2-2001122−3−333-12-1-1-11-211-2-2111111-12-1-1-102-1-1-122-1-1-1-1-1-1-2-211-2-21111113−300−3−333000000−3−3−3−3−3−33333330033−3−3000000333333−3−3−3−3−3−3−i2i2i2−i2ζ13+ζ23ζ5+ζ7−ζ13−ζ23−ζ5−ζ7−ζ13−ζ23−ζ5−ζ7ζ13+ζ23ζ5+ζ7000000000000
χ4222-22-12-222-12-2-2001122−3−333-12-1-1-11-211-2-2111111-12-1-1-102-1-1-122-1-1-1-1-1-1-2-211-2-21111113−300−3−333000000−3−3−3−3−3−33333330033−3−3000000333333−3−3−3−3−3−3i2−i2−i2i2−ζ13−ζ23−ζ5−ζ7ζ13+ζ23ζ5+ζ7ζ13+ζ23ζ5+ζ7−ζ13−ζ23−ζ5−ζ7000000000000
χ4322-2-1222-2-122112222-2-22222-1-12-1-1-2-21111-2-21111-1-12-1-1-21-21111-2-21111-12-1-1-1-122-1-1-1-1-2-2-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1111111-2-21111-2-21111-2-211110000000000002i−2i00−i−iii0000
χ4422-2-1222-2-122112222-2-22222-1-12-1-1-2-21111-2-21111-1-12-1-1-21-21111-2-21111-12-1-1-1-122-1-1-1-1-2-2-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1111111-2-21111-2-21111-2-21111000000000000−2i2i00ii−i−i0000
χ4522-2-1222-2-12211-2-222-2-2-2-2-2-2-1-12-1-1-2-21111-2-21111-1-12-1-121-21111-2-21111-12-1-1-1-122-1-1-1-122111111-2-21111-2-21111-2-21111-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-100000000000000003−3−330000
χ4622-2-1222-2-12211-2-222-2-2-2-2-2-2-1-12-1-1-2-21111-2-21111-1-12-1-121-21111-2-21111-12-1-1-1-122-1-1-1-122111111-2-21111-2-21111-2-21111-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-10000000000000000−333−30000
χ4744444-2-4-444-24400-4-42200004-2-2-2-24-244-2-2-2-2-2-2-2-24-2-2-2-20-4-4-4-422222222-42-4-42222222200000000000000000000000000000000000000000000000000000000000000000000000000
χ484444-2-2444-2-24444-2-2-2-2-2-2-2-2-2-2111-2-2-2-2-2-2111111-2-211144-2-2-2-2-21111114-2-2-2-2-2111111-2-244-2-2-2-2-2-2-2-2-2-211111111111144-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000
χ494444-2-2444-2-244-4-4-2-2-2-22222-2-2111-2-2-2-2-2-2111111-2-2111-44-2-2-2-2-21111114-2-2-2-2-211111122-4-42222222222-1-1-1-1-1-1-1-1-1-1-1-1-4-42222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
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χ514444-2-2-4-44-2-244002222−23−232323-2-2111-2-2-2-2-2-2111111-2-21110-422222-1-1-1-1-1-1-422222-1-1-1-1-1-1−232300−23−232323000000333333−3−3−3−3−3−300−23−232323000000333333−3−3−3−3−3−3000000000000000000000000
χ52444-244-4-4-244-2-200-4-4-4-40000-2-24-2-244-2-2-2-244-2-2-2-2-2-24-2-202-42222-4-422222-42222-4-4222200000000000000000000000000000000000000000000000000000000000000000000000000
χ53444-24-244-24-2-2-24444-2-24444-21-2114-2-2-211-2-21111-21-2114-24-2-211-2-21111-2-2-2-211-2-2111144-2-2-2-2-2-2-2-21111-2-21111-2-21111-2-2-2-2-2-2-2-21111-2-21111-2-21111000000000000000000000000
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χ1364-40-2-2-200222−2i32i32i2−2i2−2323−2323−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7111−1−3i32−1+3i3200i3−i3i3−i33-3−3−i323+i32−3+i323−i32-1-1-11+3i321−3i32000−3i3i3−33−3−ζ14−2ζ22ζ14+2ζ222ζ14+ζ22−2ζ14−ζ22003−3−3i3i3−3−ζ14−2ζ22ζ14+2ζ222ζ14+ζ22−2ζ14−ζ2200−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23ζ13+ζ23−ζ13−ζ23−2ζ13+ζ232ζ13−ζ23ζ13−2ζ23−ζ13+2ζ23ζ5+ζ7−ζ5−ζ7−2ζ5+ζ72ζ5−ζ7ζ5−2ζ7−ζ5+2ζ7−662ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ232ζ7+ζ23−2ζ7−ζ232ζ5+ζ13−2ζ5−ζ13ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−ζ7−2ζ23ζ7+2ζ23−ζ5−2ζ13ζ5+2ζ13000000000000000000000000
χ1374-40-2-2-2002222i3−2i3−2i22i223−2323−232ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23111−1+3i32−1−3i3200−i3i3−i3i33-3−3+i323−i32−3−i323+i32-1-1-11−3i321+3i32000−3i3i−33−33−2ζ14−ζ222ζ14+ζ22ζ14+2ζ22−ζ14−2ζ2200−33−3i3i−33−2ζ14−ζ222ζ14+ζ22ζ14+2ζ22−ζ14−2ζ2200i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−ζ5−ζ7ζ5+ζ72ζ5−ζ7−2ζ5+ζ7−ζ5+2ζ7ζ5−2ζ7−ζ13−ζ23ζ13+ζ232ζ13−ζ23−2ζ13+ζ23−ζ13+2ζ23ζ13−2ζ23−66−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−ζ7−2ζ23ζ7+2ζ23−ζ5−2ζ13ζ5+2ζ13−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ232ζ7+ζ23−2ζ7−ζ232ζ5+ζ13−2ζ5−ζ13000000000000000000000000
χ1384-40-2-2-2002222i3−2i3−2i22i223−23−23232ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23111−1−3i32−1+3i3200−i3i3−i3i3-333+i32−3−i323−i32−3+i32-1-1-11+3i321−3i32000−3i3i3−33−3−ζ14−2ζ22ζ14+2ζ222ζ14+ζ22−2ζ14−ζ2200−333i−3i−33ζ14+2ζ22−ζ14−2ζ22−2ζ14−ζ222ζ14+ζ2200i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ5+2ζ7ζ5−2ζ72ζ5−ζ7−2ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13+2ζ23ζ13−2ζ232ζ13−ζ23−2ζ13+ζ23−66−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23ζ5+2ζ13−ζ5−2ζ13ζ7+2ζ23−ζ7−2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−2ζ5−ζ132ζ5+ζ13−2ζ7−ζ232ζ7+ζ23000000000000000000000000
χ1394-40-2-2-2002222i3−2i3−2i22i2−232323−232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7111−1−3i32−1+3i3200−i3i3−i3i3-333+i32−3−i323−i32−3+i32-1-1-11+3i321−3i320003i−3i−33−33ζ14+2ζ22−ζ14−2ζ22−2ζ14−ζ222ζ14+ζ22003−3−3i3i3−3−ζ14−2ζ22ζ14+2ζ222ζ14+ζ22−2ζ14−ζ2200i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−ζ13−ζ23ζ13+ζ232ζ13−ζ23−2ζ13+ζ23−ζ13+2ζ23ζ13−2ζ23−ζ5−ζ7ζ5+ζ72ζ5−ζ7−2ζ5+ζ7−ζ5+2ζ7ζ5−2ζ7−662ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ232ζ7+ζ23−2ζ7−ζ232ζ5+ζ13−2ζ5−ζ13ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−ζ7−2ζ23ζ7+2ζ23−ζ5−2ζ13ζ5+2ζ13000000000000000000000000
χ1404-40-2-2-2002222i3−2i3−2i22i2−2323−23232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7111−1+3i32−1−3i3200−i3i3−i3i33-3−3+i323−i32−3−i323+i32-1-1-11−3i321+3i320003i−3i3−33−32ζ14+ζ22−2ζ14−ζ22−ζ14−2ζ22ζ14+2ζ22003−33i−3i3−32ζ14+ζ22−2ζ14−ζ22−ζ14−2ζ22ζ14+2ζ2200i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ13+2ζ23ζ13−2ζ232ζ13−ζ23−2ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5+2ζ7ζ5−2ζ72ζ5−ζ7−2ζ5+ζ7−662ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−2ζ5−ζ132ζ5+ζ13−2ζ7−ζ232ζ7+ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23ζ5+2ζ13−ζ5−2ζ13ζ7+2ζ23−ζ7−2ζ23000000000000000000000000
χ1414-40-2-2-2002222i3−2i32i2−2i223−2323−23−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23111−1+3i32−1−3i3200−i3i3−i3i33-3−3+i323−i32−3−i323+i32-1-1-11−3i321+3i32000−3i3i−33−33−2ζ14−ζ222ζ14+ζ22ζ14+2ζ22−ζ14−2ζ2200−33−3i3i−33−2ζ14−ζ222ζ14+ζ22ζ14+2ζ22−ζ14−2ζ2200−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23ζ5+ζ7−ζ5−ζ7−2ζ5+ζ72ζ5−ζ7ζ5−2ζ7−ζ5+2ζ7ζ13+ζ23−ζ13−ζ23−2ζ13+ζ232ζ13−ζ23ζ13−2ζ23−ζ13+2ζ236−6ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23ζ7+2ζ23−ζ7−2ζ23ζ5+2ζ13−ζ5−2ζ132ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−2ζ7−ζ232ζ7+ζ23−2ζ5−ζ132ζ5+ζ13000000000000000000000000
χ1424-40-2-2-2002222i3−2i32i2−2i223−23−2323−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23111−1−3i32−1+3i3200−i3i3−i3i3-333+i32−3−i323−i32−3+i32-1-1-11+3i321−3i32000−3i3i3−33−3−ζ14−2ζ22ζ14+2ζ222ζ14+ζ22−2ζ14−ζ2200−333i−3i−33ζ14+2ζ22−ζ14−2ζ22−2ζ14−ζ222ζ14+ζ2200−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ5−2ζ7−ζ5+2ζ7−2ζ5+ζ72ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13−2ζ23−ζ13+2ζ23−2ζ13+ζ232ζ13−ζ236−6ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−ζ5−2ζ13ζ5+2ζ13−ζ7−2ζ23ζ7+2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ232ζ5+ζ13−2ζ5−ζ132ζ7+ζ23−2ζ7−ζ23000000000000000000000000
χ1434-40-2-2-2002222i3−2i32i2−2i2−232323−23−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7111−1−3i32−1+3i3200−i3i3−i3i3-333+i32−3−i323−i32−3+i32-1-1-11+3i321−3i320003i−3i−33−33ζ14+2ζ22−ζ14−2ζ22−2ζ14−ζ222ζ14+ζ22003−3−3i3i3−3−ζ14−2ζ22ζ14+2ζ222ζ14+ζ22−2ζ14−ζ2200−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23ζ13+ζ23−ζ13−ζ23−2ζ13+ζ232ζ13−ζ23ζ13−2ζ23−ζ13+2ζ23ζ5+ζ7−ζ5−ζ7−2ζ5+ζ72ζ5−ζ7ζ5−2ζ7−ζ5+2ζ76−6−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ132ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−2ζ7−ζ232ζ7+ζ23−2ζ5−ζ132ζ5+ζ13−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23ζ7+2ζ23−ζ7−2ζ23ζ5+2ζ13−ζ5−2ζ13000000000000000000000000
χ1444-40-2-2-2002222i3−2i32i2−2i2−2323−2323−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7111−1+3i32−1−3i3200−i3i3−i3i33-3−3+i323−i32−3−i323+i32-1-1-11−3i321+3i320003i−3i3−33−32ζ14+ζ22−2ζ14−ζ22−ζ14−2ζ22ζ14+2ζ22003−33i−3i3−32ζ14+ζ22−2ζ14−ζ22−ζ14−2ζ22ζ14+2ζ2200−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ13−2ζ23−ζ13+2ζ23−2ζ13+ζ232ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5−2ζ7−ζ5+2ζ7−2ζ5+ζ72ζ5−ζ76−6−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ232ζ5+ζ13−2ζ5−ζ132ζ7+ζ23−2ζ7−ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−ζ5−2ζ13ζ5+2ζ13−ζ7−2ζ23ζ7+2ζ23000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.