Finite Group Databasebeta

← Group #72228525

Character table — Group #72228525

Order 2916.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1122333333333333333318181818181818181818181818181818181818181818181818181818181854545454545454545454545454545454818181818181818181818181818181818181
order12363333333366666666333333666666999999999181818181818181818333366669999181818184412121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31-11-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1i−iiiiiiiii−i−i−i−i−i−i−i−i
χ41-11-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−ii−i−i−i−i−i−i−i−iiiiiiiii
χ522222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1000000000000000000
χ622222222222222222222222-1-1-1222-1-1-1222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ722222222222222222222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12-122-1-122-1-1000000000000000000
χ822222222222222222222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-122-1-122000000000000000000
χ922222222222222222222-1-1-1222-1-1-1222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1000000000000000000
χ1022222222222222222222-1-1-1222-1-1-1222-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-122-1-1-12-1-1-1000000000000000000
χ1122222222222222222222-1-1-1222-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12-12-12-12000000000000000000
χ1222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-12-1-122-1-12-12-1-1-12-1-1000000000000000000
χ1322222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1-12-1-1-12-1-12-1-122-1-12000000000000000000
χ1422222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-12-12-12-12-1-1-1-12-1-1-12000000000000000000
χ1522222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-12-1-1-12-1-1-122-1-122-1000000000000000000
χ1622222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-12222-1-1-12-1-1-12-12-12-12-1000000000000000000
χ1722222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1222-1222-1-1-1-1-1-1-1-1000000000000000000
χ182-22-222222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-111111111122-1-1-2-211-1-1-1-11111000000000000000000
χ192-22-222222222-2-2-2-2-2-2-2-2222-1-1-1-2-2-2111222222222-2-2-2-2-2-2-2-2-2-1-1-1-11111-1-1-1-11111000000000000000000
χ202-22-222222222-2-2-2-2-2-2-2-2222-1-1-1-2-2-2111-1-1-1-1-1-1-1-1-1111111111-1-12-111-2122-1-1-2-211000000000000000000
χ212-22-222222222-2-2-2-2-2-2-2-2222-1-1-1-2-2-2111-1-1-1-1-1-1-1-1-1111111111-1-1-12111-2-1-12211-2-2000000000000000000
χ222-22-222222222-2-2-2-2-2-2-2-2-1-1-1222111-2-2-2222-1-1-1-1-1-1-2-2-2111111-1-12-111-21-1-12-111-21000000000000000000
χ232-22-222222222-2-2-2-2-2-2-2-2-1-1-1222111-2-2-2-1-1-1222-1-1-1111-2-2-2111-1-1-12111-22-1-1-1-2111000000000000000000
χ242-22-222222222-2-2-2-2-2-2-2-2-1-1-1222111-2-2-2-1-1-1-1-1-1222111111-2-2-2-1-1-1-11111-12-121-21-2000000000000000000
χ252-22-222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1111111222-1-1-1-1-1-1-2-2-21111112-1-12-211-2-12-1-11-211000000000000000000
χ262-22-222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1111111222-1-1-1-1-1-1-2-2-2111111-12-1-11-2112-1-12-211-2000000000000000000
χ272-22-222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1111111-1-1-1222-1-1-1111-2-2-21112-12-1-21-21-1-1-12111-2000000000000000000
χ282-22-222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1111111-1-1-1222-1-1-1111-2-2-2111-12-1-11-211-122-11-2-21000000000000000000
χ292-22-222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1111111-1-1-1-1-1-1222111111-2-2-22-1-1-1-21112-12-1-21-21000000000000000000
χ302-22-222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1111111-1-1-1-1-1-1222111111-2-2-2-12221-2-2-2-1-1-1-11111000000000000000000
χ31333333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i3233−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i320000000000000000003−3−3i32−3+3i320000003−3−3i32−3+3i3200000000000000001111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ32333333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i3233−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i320000000000000000003−3−3i32−3+3i320000003−3−3i32−3+3i320000000000000000-1-1-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321+i321−i321−i321−i32
χ33333333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i3233−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i320000000000000000003−3+3i32−3−3i320000003−3+3i32−3−3i3200000000000000001111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ34333333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i3233−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i320000000000000000003−3+3i32−3−3i320000003−3+3i32−3−3i320000000000000000-1-1-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321−i321+i321+i321+i32
χ353333−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000000000000003−3−3i32−3+3i320000003−3−3i32−3+3i32000000000000000000011−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ363333−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000000000000003−3−3i32−3+3i320000003−3−3i32−3+3i320000000000000000000-1-11+i321−i32-11+i321−i32-11+i321−i321+i321−i32-11+i321−i32-11+i321−i32
χ373333−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i32−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i320000000000003−3−3i32−3+3i320000003−3−3i32−3+3i32000000000000000000000011−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ383333−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i32−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i320000000000003−3−3i32−3+3i320000003−3−3i32−3+3i320000000000000000000000-1-11+i321−i321+i321−i32-11−i32-11+i321+i321−i321+i321−i32-11−i32-11+i32
χ393333−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3233−3−3i32−3+3i320003−3−3i32−3+3i32000000000000000000000000000000000000011−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ403333−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3233−3−3i32−3+3i320003−3−3i32−3+3i320000000000000000000000000000000000000-1-11+i321−i321−i32-11+i321+i321−i32-11+i321−i321−i32-11+i321+i321−i32-1
χ413333−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000000000000003−3+3i32−3−3i320000003−3+3i32−3−3i32000000000000000000011−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ423333−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000000000000003−3+3i32−3−3i320000003−3+3i32−3−3i320000000000000000000-1-11−i321+i32-11−i321+i32-11−i321+i321−i321+i32-11−i321+i32-11−i321+i32
χ433333−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3233−3+3i32−3−3i320003−3+3i32−3−3i32000000000000000000000000000000000000011−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ443333−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3233−3+3i32−3−3i320003−3+3i32−3−3i320000000000000000000000000000000000000-1-11−i321+i321+i32-11−i321−i321+i32-11−i321+i321+i32-11−i321−i321+i32-1
χ453333−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i320000000000003−3+3i32−3−3i320000003−3+3i32−3−3i32000000000000000000000011−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ463333−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i320000000000003−3+3i32−3−3i320000003−3+3i32−3−3i320000000000000000000000-1-11−i321+i321−i321+i32-11+i32-11−i321−i321+i321−i321+i32-11+i32-11−i32
χ473-33-333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-3-33+3i323+3i323+3i323−3i323−3i323−3i320000000000000000003−3−3i32−3+3i32000000-33+3i323−3i320000000000000000i−iiiζ11ζ11ζ11ζ7ζ7ζ7−i−i−ζ11−ζ11−ζ11−ζ7−ζ7−ζ7
χ483-33-333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-3-33+3i323+3i323+3i323−3i323−3i323−3i320000000000000000003−3−3i32−3+3i32000000-33+3i323−3i320000000000000000−ii−i−i−ζ11−ζ11−ζ11−ζ7−ζ7−ζ7iiζ11ζ11ζ11ζ7ζ7ζ7
χ493-33-333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-3-33−3i323−3i323−3i323+3i323+3i323+3i320000000000000000003−3+3i32−3−3i32000000-33−3i323+3i320000000000000000i−iiiζ7ζ7ζ7ζ11ζ11ζ11−i−i−ζ7−ζ7−ζ7−ζ11−ζ11−ζ11
χ503-33-333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-3-33−3i323−3i323−3i323+3i323+3i323+3i320000000000000000003−3+3i32−3−3i32000000-33−3i323+3i320000000000000000−ii−i−i−ζ7−ζ7−ζ7−ζ11−ζ11−ζ11iiζ7ζ7ζ7ζ11ζ11ζ11
χ513-33-3−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323+3i323−3i32-33+3i323−3i32-33+3i323−3i320000000000000003−3−3i32−3+3i32000000-33+3i323−3i320000000000000000000i−iζ11ζ7iζ11ζ7iζ11ζ7−ζ11−ζ7−i−ζ11−ζ7−i−ζ11−ζ7
χ523-33-3−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323+3i323−3i32-33+3i323−3i32-33+3i323−3i320000000000000003−3−3i32−3+3i32000000-33+3i323−3i320000000000000000000−ii−ζ11−ζ7−i−ζ11−ζ7−i−ζ11−ζ7ζ11ζ7iζ11ζ7iζ11ζ7
χ533-33-3−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i323+3i323−3i323+3i323−3i32-33−3i32-33+3i320000000000003−3−3i32−3+3i32000000-33+3i323−3i320000000000000000000000i−iζ11ζ7ζ11ζ7iζ7iζ11−ζ11−ζ7−ζ11−ζ7−i−ζ7−i−ζ11
χ543-33-3−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i323+3i323−3i323+3i323−3i32-33−3i32-33+3i320000000000003−3−3i32−3+3i32000000-33+3i323−3i320000000000000000000000−ii−ζ11−ζ7−ζ11−ζ7−i−ζ7−i−ζ11ζ11ζ7ζ11ζ7iζ7iζ11
χ553-33-3−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3233+3i323−3i323−3i32-33+3i323+3i323−3i32-33−3−3i32−3+3i32000-33+3i323−3i320000000000000000000000000000000000000i−iζ11ζ7ζ7iζ11ζ11ζ7i−ζ11−ζ7−ζ7−i−ζ11−ζ11−ζ7−i
χ563-33-3−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3233+3i323−3i323−3i32-33+3i323+3i323−3i32-33−3−3i32−3+3i32000-33+3i323−3i320000000000000000000000000000000000000−ii−ζ11−ζ7−ζ7−i−ζ11−ζ11−ζ7−iζ11ζ7ζ7iζ11ζ11ζ7i
χ573-33-3−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3i323+3i32-33−3i323+3i32-33−3i323+3i320000000000000003−3+3i32−3−3i32000000-33−3i323+3i320000000000000000000i−iζ7ζ11iζ7ζ11iζ7ζ11−ζ7−ζ11−i−ζ7−ζ11−i−ζ7−ζ11
χ583-33-3−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3i323+3i32-33−3i323+3i32-33−3i323+3i320000000000000003−3+3i32−3−3i32000000-33−3i323+3i320000000000000000000−ii−ζ7−ζ11−i−ζ7−ζ11−i−ζ7−ζ11ζ7ζ11iζ7ζ11iζ7ζ11
χ593-33-3−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3233−3i323+3i323+3i32-33−3i323−3i323+3i32-33−3+3i32−3−3i32000-33−3i323+3i320000000000000000000000000000000000000i−iζ7ζ11ζ11iζ7ζ7ζ11i−ζ7−ζ11−ζ11−i−ζ7−ζ7−ζ11−i
χ603-33-3−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3233−3i323+3i323+3i32-33−3i323−3i323+3i32-33−3+3i32−3−3i32000-33−3i323+3i320000000000000000000000000000000000000−ii−ζ7−ζ11−ζ11−i−ζ7−ζ7−ζ11−iζ7ζ11ζ11iζ7ζ7ζ11i
χ613-33-3−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i323−3i323+3i323−3i323+3i32-33+3i32-33−3i320000000000003−3+3i32−3−3i32000000-33−3i323+3i320000000000000000000000i−iζ7ζ11ζ7ζ11iζ11iζ7−ζ7−ζ11−ζ7−ζ11−i−ζ11−i−ζ7
χ623-33-3−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i323−3i323+3i323−3i323+3i32-33+3i32-33−3i320000000000003−3+3i32−3−3i32000000-33−3i323+3i320000000000000000000000−ii−ζ7−ζ11−ζ7−ζ11−i−ζ11−i−ζ7ζ7ζ11ζ7ζ11iζ11iζ7
χ63666666−3−3i3−3−3i3−3−3i3−3+3i3−3+3i3−3+3i366−3−3i3−3−3i3−3−3i3−3+3i3−3+3i3−3+3i3000000000000000000-33+3i323−3i32000000-33+3i323−3i320000000000000000000000000000000000
χ64666666−3+3i3−3+3i3−3+3i3−3−3i3−3−3i3−3−3i366−3+3i3−3+3i3−3+3i3−3−3i3−3−3i3−3−3i3000000000000000000-33−3i323+3i32000000-33−3i323+3i320000000000000000000000000000000000
χ656666−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i3−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i3000000000000000-33+3i323−3i32000000-33+3i323−3i320000000000000000000000000000000000000
χ666666−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i3−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i3000000000000-33+3i323−3i32000000-33+3i323−3i320000000000000000000000000000000000000000
χ676666−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i36−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i36-33+3i323−3i32000-33+3i323−3i320000000000000000000000000000000000000000000000000000000
χ686666−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i3−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i3000000000000000-33−3i323+3i32000000-33−3i323+3i320000000000000000000000000000000000000
χ696666−3+3i3−3−3i3−3−3i36−3+3i3−3+3i3−3−3i36−3+3i3−3−3i3−3−3i36−3+3i3−3+3i3−3−3i36-33−3i323+3i32000-33−3i323+3i320000000000000000000000000000000000000000000000000000000
χ706666−3+3i3−3−3i3−3+3i3−3−3i36−3−3i36−3+3i3−3+3i3−3−3i3−3+3i3−3−3i36−3−3i36−3+3i3000000000000-33−3i323+3i32000000-33−3i323+3i320000000000000000000000000000000000000000
χ716-66-666−3−3i3−3−3i3−3−3i3−3+3i3−3+3i3−3+3i3-6-63+3i33+3i33+3i33−3i33−3i33−3i3000000000000000000-33+3i323−3i320000003−3−3i32−3+3i320000000000000000000000000000000000
χ726-66-666−3+3i3−3+3i3−3+3i3−3−3i3−3−3i3−3−3i3-6-63−3i33−3i33−3i33+3i33+3i33+3i3000000000000000000-33−3i323+3i320000003−3+3i32−3−3i320000000000000000000000000000000000
χ736-66-6−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i33+3i33−3i3-63+3i33−3i3-63+3i33−3i3000000000000000-33+3i323−3i320000003−3−3i32−3+3i320000000000000000000000000000000000000
χ746-66-6−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i33+3i33−3i33+3i33−3i3-63−3i3-63+3i3000000000000-33+3i323−3i320000003−3−3i32−3+3i320000000000000000000000000000000000000000
χ756-66-6−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i363+3i33−3i33−3i3-63+3i33+3i33−3i3-6-33+3i323−3i320003−3−3i32−3+3i320000000000000000000000000000000000000000000000000000000
χ766-66-6−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i33−3i33+3i3-63−3i33+3i3-63−3i33+3i3000000000000000-33−3i323+3i320000003−3+3i32−3−3i320000000000000000000000000000000000000
χ776-66-6−3+3i3−3−3i3−3−3i36−3+3i3−3+3i3−3−3i363−3i33+3i33+3i3-63−3i33−3i33+3i3-6-33−3i323+3i320003−3+3i32−3−3i320000000000000000000000000000000000000000000000000000000
χ786-66-6−3+3i3−3−3i3−3+3i3−3−3i36−3−3i36−3+3i33−3i33+3i33−3i33+3i3-63+3i3-63−3i3000000000000-33−3i323+3i320000003−3+3i32−3−3i320000000000000000000000000000000000000000
χ791818-9-900000000000000000006-3-30006-3-30000000000000000000000000000000000000000000000000000
χ801818-9-90000000000000000000-36-3000-36-30000000000000000000000000000000000000000000000000000
χ811818-9-90000000000000000000-3-36000-3-360000000000000000000000000000000000000000000000000000
χ8218-18-9900000000000000000006-3-3000-6330000000000000000000000000000000000000000000000000000
χ8318-18-990000000000000000000-36-30003-630000000000000000000000000000000000000000000000000000
χ8418-18-990000000000000000000-3-3600033-60000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.