Finite Group Databasebeta

← Group #13086875

Character table — Group #13086875

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size11222222222222222221818112222222222222222218182244444444444444444363622444444444444444443636224444444444444444436362244444444444444444363655101010101010101010101010101010101090905510101010101010101010101010101010109090
order1233334666612121212121212122222666646666121212121212121222510151515152030303030606060606060606010105101515151520303030306060606060606060101010103030303020303030306060606060606060101010103030303020303030306060606060606060101044121212124121212121212121212121212444412121212412121212121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111-1-11111111111111111111-1-11111111111111111111-1-11111111111111111111-1-11111111111111111111-1-11111111111111111111-1-11111111111111111111-1-11111111111111111111-1-1
χ3111111-11111-1-1-1-1-1-1-1-11-1111111-11111-1-1-1-1-1-1-1-11-1111111-11111-1-1-1-1-1-1-1-11-1111111-11111-1-1-1-1-1-1-1-11-1111111-11111-1-1-1-1-1-1-1-11-1111111-11111-1-1-1-1-1-1-1-11-1111111-11111-1-1-1-1-1-1-1-11-1111111-11111-1-1-1-1-1-1-1-11-1
χ4111111-11111-1-1-1-1-1-1-1-1-11111111-11111-1-1-1-1-1-1-1-1-11111111-11111-1-1-1-1-1-1-1-1-11111111-11111-1-1-1-1-1-1-1-1-11111111-11111-1-1-1-1-1-1-1-1-11111111-11111-1-1-1-1-1-1-1-1-11111111-11111-1-1-1-1-1-1-1-1-11111111-11111-1-1-1-1-1-1-1-1-11
χ5222-1-1-122-1-1-122-1-1-1-1-1-100222-1-1-122-1-1-122-1-1-1-1-1-100222-1-1-122-1-1-122-1-1-1-1-1-100222-1-1-122-1-1-122-1-1-1-1-1-100222-1-1-122-1-1-122-1-1-1-1-1-100222-1-1-122-1-1-122-1-1-1-1-1-100222-1-1-122-1-1-122-1-1-1-1-1-100222-1-1-122-1-1-122-1-1-1-1-1-100
χ6222-1-1-1-22-1-1-1-2-211111100222-1-1-1-22-1-1-1-2-211111100222-1-1-1-22-1-1-1-2-211111100222-1-1-1-22-1-1-1-2-211111100222-1-1-1-22-1-1-1-2-211111100222-1-1-1-22-1-1-1-2-211111100222-1-1-1-22-1-1-1-2-211111100222-1-1-1-22-1-1-1-2-211111100
χ722-12-1-12-12-1-1-1-122-1-1-1-10022-12-1-12-12-1-1-1-122-1-1-1-10022-12-1-12-12-1-1-1-122-1-1-1-10022-12-1-12-12-1-1-1-122-1-1-1-10022-12-1-12-12-1-1-1-122-1-1-1-10022-12-1-12-12-1-1-1-122-1-1-1-10022-12-1-12-12-1-1-1-122-1-1-1-10022-12-1-12-12-1-1-1-122-1-1-1-100
χ822-12-1-1-2-12-1-111-2-211110022-12-1-1-2-12-1-111-2-211110022-12-1-1-2-12-1-111-2-211110022-12-1-1-2-12-1-111-2-211110022-12-1-1-2-12-1-111-2-211110022-12-1-1-2-12-1-111-2-211110022-12-1-1-2-12-1-111-2-211110022-12-1-1-2-12-1-111-2-2111100
χ922-1-12-12-1-12-1-1-1-1-122-1-10022-1-12-12-1-12-1-1-1-1-122-1-10022-1-12-12-1-12-1-1-1-1-122-1-10022-1-12-12-1-12-1-1-1-1-122-1-10022-1-12-12-1-12-1-1-1-1-122-1-10022-1-12-12-1-12-1-1-1-1-122-1-10022-1-12-12-1-12-1-1-1-1-122-1-10022-1-12-12-1-12-1-1-1-1-122-1-100
χ1022-1-12-1-2-1-12-11111-2-2110022-1-12-1-2-1-12-11111-2-2110022-1-12-1-2-1-12-11111-2-2110022-1-12-1-2-1-12-11111-2-2110022-1-12-1-2-1-12-11111-2-2110022-1-12-1-2-1-12-11111-2-2110022-1-12-1-2-1-12-11111-2-2110022-1-12-1-2-1-12-11111-2-21100
χ1122-1-1-122-1-1-12-1-1-1-1-1-1220022-1-1-122-1-1-12-1-1-1-1-1-1220022-1-1-122-1-1-12-1-1-1-1-1-1220022-1-1-122-1-1-12-1-1-1-1-1-1220022-1-1-122-1-1-12-1-1-1-1-1-1220022-1-1-122-1-1-12-1-1-1-1-1-1220022-1-1-122-1-1-12-1-1-1-1-1-1220022-1-1-122-1-1-12-1-1-1-1-1-12200
χ1222-1-1-12-2-1-1-12111111-2-20022-1-1-12-2-1-1-12111111-2-20022-1-1-12-2-1-1-12111111-2-20022-1-1-12-2-1-1-12111111-2-20022-1-1-12-2-1-1-12111111-2-20022-1-1-12-2-1-1-12111111-2-20022-1-1-12-2-1-1-12111111-2-20022-1-1-12-2-1-1-12111111-2-200
χ132-222220-2-2-2-200000000002-222220-2-2-2-200000000002-222220-2-2-2-200000000002-222220-2-2-2-200000000002-222220-2-2-2-200000000002-222220-2-2-2-200000000002-222220-2-2-2-200000000002-222220-2-2-2-20000000000
χ142-22-1-1-10-2111003−33−33−3002-22-1-1-10-2111003−33−33−3002-22-1-1-10-2111003−33−33−3002-22-1-1-10-2111003−33−33−3002-22-1-1-10-2111003−33−33−3002-22-1-1-10-2111003−33−33−3002-22-1-1-10-2111003−33−33−3002-22-1-1-10-2111003−33−33−300
χ152-22-1-1-10-211100−33−33−33002-22-1-1-10-211100−33−33−33002-22-1-1-10-211100−33−33−33002-22-1-1-10-211100−33−33−33002-22-1-1-10-211100−33−33−33002-22-1-1-10-211100−33−33−33002-22-1-1-10-211100−33−33−33002-22-1-1-10-211100−33−33−3300
χ162-2-12-1-101-2113−3003−3−33002-2-12-1-101-2113−3003−3−33002-2-12-1-101-2113−3003−3−33002-2-12-1-101-2113−3003−3−33002-2-12-1-101-2113−3003−3−33002-2-12-1-101-2113−3003−3−33002-2-12-1-101-2113−3003−3−33002-2-12-1-101-2113−3003−3−3300
χ172-2-12-1-101-211−3300−333−3002-2-12-1-101-211−3300−333−3002-2-12-1-101-211−3300−333−3002-2-12-1-101-211−3300−333−3002-2-12-1-101-211−3300−333−3002-2-12-1-101-211−3300−333−3002-2-12-1-101-211−3300−333−3002-2-12-1-101-211−3300−333−300
χ182-2-1-12-1011-213−3−33003−3002-2-1-12-1011-213−3−33003−3002-2-1-12-1011-213−3−33003−3002-2-1-12-1011-213−3−33003−3002-2-1-12-1011-213−3−33003−3002-2-1-12-1011-213−3−33003−3002-2-1-12-1011-213−3−33003−3002-2-1-12-1011-213−3−33003−300
χ192-2-1-12-1011-21−333−300−33002-2-1-12-1011-21−333−300−33002-2-1-12-1011-21−333−300−33002-2-1-12-1011-21−333−300−33002-2-1-12-1011-21−333−300−33002-2-1-12-1011-21−333−300−33002-2-1-12-1011-21−333−300−33002-2-1-12-1011-21−333−300−3300
χ202-2-1-1-120111-23−33−3−3300002-2-1-1-120111-23−33−3−3300002-2-1-1-120111-23−33−3−3300002-2-1-1-120111-23−33−3−3300002-2-1-1-120111-23−33−3−3300002-2-1-1-120111-23−33−3−3300002-2-1-1-120111-23−33−3−3300002-2-1-1-120111-23−33−3−330000
χ212-2-1-1-120111-2−33−333−300002-2-1-1-120111-2−33−333−300002-2-1-1-120111-2−33−333−300002-2-1-1-120111-2−33−333−300002-2-1-1-120111-2−33−333−300002-2-1-1-120111-2−33−333−300002-2-1-1-120111-2−33−333−300002-2-1-1-120111-2−33−333−30000
χ22111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ231111111111111111111-1-11111111111111111111-1-11111111111111111111-1-11111111111111111111-1-11111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ24111111-11111-1-1-1-1-1-1-1-11-1111111-11111-1-1-1-1-1-1-1-11-1111111-11111-1-1-1-1-1-1-1-11-1111111-11111-1-1-1-1-1-1-1-11-1111111-11111-1-1-1-1-1-1-1-11-1111111-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11-1-1-1-111111111-11-1-1-1-1-1-11-1-1-1-111111111-11
χ25111111-11111-1-1-1-1-1-1-1-1-11111111-11111-1-1-1-1-1-1-1-1-11111111-11111-1-1-1-1-1-1-1-1-11111111-11111-1-1-1-1-1-1-1-1-11111111-11111-1-1-1-1-1-1-1-1-11111111-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-11-1-1-1-1111111111-1
χ26222-1-1-122-1-1-122-1-1-1-1-1-100222-1-1-122-1-1-122-1-1-1-1-1-100222-1-1-122-1-1-122-1-1-1-1-1-100222-1-1-122-1-1-122-1-1-1-1-1-100222-1-1-122-1-1-122-1-1-1-1-1-100222-1-1-122-1-1-122-1-1-1-1-1-100-2-2-2111-2-2111-2-211111100-2-2-2111-2-2111-2-211111100
χ27222-1-1-1-22-1-1-1-2-211111100222-1-1-1-22-1-1-1-2-211111100222-1-1-1-22-1-1-1-2-211111100222-1-1-1-22-1-1-1-2-211111100222-1-1-1-22-1-1-1-2-211111100222-1-1-1-22-1-1-1-2-211111100-2-2-21112-211122-1-1-1-1-1-100-2-2-21112-211122-1-1-1-1-1-100
χ2822-12-1-12-12-1-1-1-122-1-1-1-10022-12-1-12-12-1-1-1-122-1-1-1-10022-12-1-12-12-1-1-1-122-1-1-1-10022-12-1-12-12-1-1-1-122-1-1-1-10022-12-1-12-12-1-1-1-122-1-1-1-10022-12-1-12-12-1-1-1-122-1-1-1-100-2-21-211-21-21111-2-2111100-2-21-211-21-21111-2-2111100
χ2922-12-1-1-2-12-1-111-2-211110022-12-1-1-2-12-1-111-2-211110022-12-1-1-2-12-1-111-2-211110022-12-1-1-2-12-1-111-2-211110022-12-1-1-2-12-1-111-2-211110022-12-1-1-2-12-1-111-2-2111100-2-21-21121-211-1-122-1-1-1-100-2-21-21121-211-1-122-1-1-1-100
χ3022-1-12-12-1-12-1-1-1-1-122-1-10022-1-12-12-1-12-1-1-1-1-122-1-10022-1-12-12-1-12-1-1-1-1-122-1-10022-1-12-12-1-12-1-1-1-1-122-1-10022-1-12-12-1-12-1-1-1-1-122-1-10022-1-12-12-1-12-1-1-1-1-122-1-100-2-211-21-211-211111-2-21100-2-211-21-211-211111-2-21100
χ3122-1-12-1-2-1-12-11111-2-2110022-1-12-1-2-1-12-11111-2-2110022-1-12-1-2-1-12-11111-2-2110022-1-12-1-2-1-12-11111-2-2110022-1-12-1-2-1-12-11111-2-2110022-1-12-1-2-1-12-11111-2-21100-2-211-21211-21-1-1-1-122-1-100-2-211-21211-21-1-1-1-122-1-100
χ3222-1-1-122-1-1-12-1-1-1-1-1-1220022-1-1-122-1-1-12-1-1-1-1-1-1220022-1-1-122-1-1-12-1-1-1-1-1-1220022-1-1-122-1-1-12-1-1-1-1-1-1220022-1-1-122-1-1-12-1-1-1-1-1-1220022-1-1-122-1-1-12-1-1-1-1-1-12200-2-2111-2-2111-2111111-2-200-2-2111-2-2111-2111111-2-200
χ3322-1-1-12-2-1-1-12111111-2-20022-1-1-12-2-1-1-12111111-2-20022-1-1-12-2-1-1-12111111-2-20022-1-1-12-2-1-1-12111111-2-20022-1-1-12-2-1-1-12111111-2-20022-1-1-12-2-1-1-12111111-2-200-2-2111-22111-2-1-1-1-1-1-12200-2-2111-22111-2-1-1-1-1-1-12200
χ342-222220-2-2-2-200000000002-222220-2-2-2-200000000002-222220-2-2-2-200000000002-222220-2-2-2-200000000002-222220-2-2-2-200000000002-222220-2-2-2-20000000000-22-2-2-2-2022220000000000-22-2-2-2-2022220000000000
χ352-22-1-1-10-2111003−33−33−3002-22-1-1-10-2111003−33−33−3002-22-1-1-10-2111003−33−33−3002-22-1-1-10-2111003−33−33−3002-22-1-1-10-2111003−33−33−3002-22-1-1-10-2111003−33−33−300-22-211102-1-1-100−33−33−3300-22-211102-1-1-100−33−33−3300
χ362-22-1-1-10-211100−33−33−33002-22-1-1-10-211100−33−33−33002-22-1-1-10-211100−33−33−33002-22-1-1-10-211100−33−33−33002-22-1-1-10-211100−33−33−33002-22-1-1-10-211100−33−33−3300-22-211102-1-1-1003−33−33−300-22-211102-1-1-1003−33−33−300
χ372-2-12-1-101-2113−3003−3−33002-2-12-1-101-2113−3003−3−33002-2-12-1-101-2113−3003−3−33002-2-12-1-101-2113−3003−3−33002-2-12-1-101-2113−3003−3−33002-2-12-1-101-2113−3003−3−3300-221-2110-12-1-1−3300−333−300-221-2110-12-1-1−3300−333−300
χ382-2-12-1-101-211−3300−333−3002-2-12-1-101-211−3300−333−3002-2-12-1-101-211−3300−333−3002-2-12-1-101-211−3300−333−3002-2-12-1-101-211−3300−333−3002-2-12-1-101-211−3300−333−300-221-2110-12-1-13−3003−3−3300-221-2110-12-1-13−3003−3−3300
χ392-2-1-12-1011-213−3−33003−3002-2-1-12-1011-213−3−33003−3002-2-1-12-1011-213−3−33003−3002-2-1-12-1011-213−3−33003−3002-2-1-12-1011-213−3−33003−3002-2-1-12-1011-213−3−33003−300-2211-210-1-12-1−333−300−3300-2211-210-1-12-1−333−300−3300
χ402-2-1-12-1011-21−333−300−33002-2-1-12-1011-21−333−300−33002-2-1-12-1011-21−333−300−33002-2-1-12-1011-21−333−300−33002-2-1-12-1011-21−333−300−33002-2-1-12-1011-21−333−300−3300-2211-210-1-12-13−3−33003−300-2211-210-1-12-13−3−33003−300
χ412-2-1-1-120111-23−33−3−3300002-2-1-1-120111-23−33−3−3300002-2-1-1-120111-23−33−3−3300002-2-1-1-120111-23−33−3−3300002-2-1-1-120111-23−33−3−3300002-2-1-1-120111-23−33−3−330000-22111-20-1-1-12−33−333−30000-22111-20-1-1-12−33−333−30000
χ422-2-1-1-120111-2−33−333−300002-2-1-1-120111-2−33−333−300002-2-1-1-120111-2−33−333−300002-2-1-1-120111-2−33−333−300002-2-1-1-120111-2−33−333−300002-2-1-1-120111-2−33−333−30000-22111-20-1-1-123−33−3−330000-22111-20-1-1-123−33−3−330000
χ43111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ441111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111iiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii
χ45111111-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11-1-1-1-111111111-11111111-11111-1-1-1-1-1-1-1-11-1111111-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11-1-1-1-111111111-11-1-1-1-1-1-11-1-1-1-111111111-11iiiiii−iiiii−i−i−i−i−i−i−i−ii−i−i−i−i−i−i−ii−i−i−i−iiiiiiiii−ii
χ46111111-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-1-1-1111111111-1111111-11111-1-1-1-1-1-1-1-1-11111111-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-11-1-1-1-1111111111-1iiiiii−iiiii−i−i−i−i−i−i−i−i−ii−i−i−i−i−i−ii−i−i−i−iiiiiiiiii−i
χ47222-1-1-122-1-1-122-1-1-1-1-1-100-2-2-2111-2-2111-2-211111100222-1-1-122-1-1-122-1-1-1-1-1-100222-1-1-122-1-1-122-1-1-1-1-1-100-2-2-2111-2-2111-2-211111100-2-2-2111-2-2111-2-2111111002i2i2i−i−i−i2i2i−i−i−i2i2i−i−i−i−i−i−i00−2i−2i−2iiii−2i−2iiii−2i−2iiiiiii00
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χ1492222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+52−1−52−1−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−52−1+52−1+52000000000000000000000000000000000000000000
χ150222222-22222-2-2-2-2-2-2-2-22-2-2-2-2-2-2-22-2-2-2-222222222-22−1−52−1−52−1−52−1−52−1−52−1−521+52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+52−1−521+52−1+52−1+52−1+52−1+52−1+52−1+521−52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−52−1+521−521+521+521+521+521+521+52−1−521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+52−1−521−521−521−521−521−521−52−1+521−521−521−521−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−52−1+52000000000000000000000000000000000000000000
χ151222222-22222-2-2-2-2-2-2-2-2-22-2-2-2-2-2-22-2-2-2-2222222222-2−1−52−1−52−1−52−1−52−1−52−1−521+52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+521+52−1−52−1+52−1+52−1+52−1+52−1+52−1+521−52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−521−52−1+521+521+521+521+521+521+52−1−521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521−521−521−521−521−521−52−1+521−521−521−521−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−52000000000000000000000000000000000000000000
χ152444-2-2-244-2-2-244-2-2-2-2-2-200-4-4-4222-4-4222-4-422222200−1−5−1−5−1−51+521+521+52−1−5−1−51+521+521+52−1−5−1−51+521+521+521+521+521+5200−1+5−1+5−1+51−521−521−52−1+5−1+51−521−521−52−1+5−1+51−521−521−521−521−521−52001+51+51+5−1−52−1−52−1−521+51+5−1−52−1−52−1−521+51+5−1−52−1−52−1−52−1−52−1−52−1−52001−51−51−5−1+52−1+52−1+521−51−5−1+52−1+52−1+521−51−5−1+52−1+52−1+52−1+52−1+52−1+5200000000000000000000000000000000000000000000
χ153444-2-2-2-44-2-2-2-4-422222200-4-4-42224-422244-2-2-2-2-2-200−1−5−1−5−1−51+521+521+521+5−1−51+521+521+521+51+5−1−52−1−52−1−52−1−52−1−52−1−5200−1+5−1+5−1+51−521−521−521−5−1+51−521−521−521−51−5−1+52−1+52−1+52−1+52−1+52−1+52001+51+51+5−1−52−1−52−1−52−1−51+5−1−52−1−52−1−52−1−5−1−51+521+521+521+521+521+52001−51−51−5−1+52−1+52−1+52−1+51−5−1+52−1+52−1+52−1+5−1+51−521−521−521−521−521−5200000000000000000000000000000000000000000000
χ15444-24-2-24-24-2-2-2-244-2-2-2-200-4-42-422-42-42222-4-4222200−1−5−1−51+52−1−51+521+52−1−51+52−1−51+521+521+521+52−1−5−1−51+521+521+521+5200−1+5−1+51−52−1+51−521−52−1+51−52−1+51−521−521−521−52−1+5−1+51−521−521−521−52001+51+5−1−521+5−1−52−1−521+5−1−521+5−1−52−1−52−1−52−1−521+51+5−1−52−1−52−1−52−1−52001−51−5−1+521−5−1+52−1+521−5−1+521−5−1+52−1+52−1+52−1+521−51−5−1+52−1+52−1+52−1+5200000000000000000000000000000000000000000000
χ15544-24-2-2-4-24-2-222-4-4222200-4-42-42242-422-2-244-2-2-2-200−1−5−1−51+52−1−51+521+521+51+52−1−51+521+52−1−52−1−521+51+5−1−52−1−52−1−52−1−5200−1+5−1+51−52−1+51−521−521−51−52−1+51−521−52−1+52−1+521−51−5−1+52−1+52−1+52−1+52001+51+5−1−521+5−1−52−1−52−1−5−1−521+5−1−52−1−521+521+52−1−5−1−51+521+521+521+52001−51−5−1+521−5−1+52−1+52−1+5−1+521−5−1+52−1+521−521−52−1+5−1+51−521−521−521−5200000000000000000000000000000000000000000000
χ15644-2-24-24-2-24-2-2-2-2-244-2-200-4-422-42-422-422222-4-42200−1−5−1−51+521+52−1−51+52−1−51+521+52−1−51+521+521+521+521+52−1−5−1−51+521+5200−1+5−1+51−521−52−1+51−52−1+51−521−52−1+51−521−521−521−521−52−1+5−1+51−521−52001+51+5−1−52−1−521+5−1−521+5−1−52−1−521+5−1−52−1−52−1−52−1−52−1−521+51+5−1−52−1−52001−51−5−1+52−1+521−5−1+521−5−1+52−1+521−5−1+52−1+52−1+52−1+52−1+521−51−5−1+52−1+5200000000000000000000000000000000000000000000
χ15744-2-24-2-4-2-24-22222-4-42200-4-422-42422-42-2-2-2-244-2-200−1−5−1−51+521+52−1−51+521+51+521+52−1−51+52−1−52−1−52−1−52−1−521+51+5−1−52−1−5200−1+5−1+51−521−52−1+51−521−51−521−52−1+51−52−1+52−1+52−1+52−1+521−51−5−1+52−1+52001+51+5−1−52−1−521+5−1−52−1−5−1−52−1−521+5−1−521+521+521+521+52−1−5−1−51+521+52001−51−5−1+52−1+521−5−1+52−1+5−1+52−1+521−5−1+521−521−521−521−52−1+5−1+51−521−5200000000000000000000000000000000000000000000
χ15844-2-2-244-2-2-24-2-2-2-2-2-24400-4-4222-4-4222-4222222-4-400−1−5−1−51+521+521+52−1−5−1−51+521+521+52−1−51+521+521+521+521+521+52−1−5−1−500−1+5−1+51−521−521−52−1+5−1+51−521−521−52−1+51−521−521−521−521−521−52−1+5−1+5001+51+5−1−52−1−52−1−521+51+5−1−52−1−52−1−521+5−1−52−1−52−1−52−1−52−1−52−1−521+51+5001−51−5−1+52−1+52−1+521−51−5−1+52−1+52−1+521−5−1+52−1+52−1+52−1+52−1+52−1+521−51−500000000000000000000000000000000000000000000
χ15944-2-2-24-4-2-2-24222222-4-400-4-4222-44222-4-2-2-2-2-2-24400−1−5−1−51+521+521+52−1−51+51+521+521+52−1−5−1−52−1−52−1−52−1−52−1−52−1−521+51+500−1+5−1+51−521−521−52−1+51−51−521−521−52−1+5−1+52−1+52−1+52−1+52−1+52−1+521−51−5001+51+5−1−52−1−52−1−521+5−1−5−1−52−1−52−1−521+51+521+521+521+521+521+52−1−5−1−5001−51−5−1+52−1+52−1+521−5−1+5−1+52−1+52−1+521−51−521−521−521−521−521−52−1+5−1+500000000000000000000000000000000000000000000
χ1604-444440-4-4-4-40000000000-44-4-4-4-4044440000000000−1−51+5−1−5−1−5−1−5−1−501+51+51+51+50000000000−1+51−5−1+5−1+5−1+5−1+501−51−51−51−500000000001+5−1−51+51+51+51+50−1−5−1−5−1−5−1−500000000001−5−1+51−51−51−51−50−1+5−1+5−1+5−1+50000000000000000000000000000000000000000000000000000
χ1614-44-2-2-20-42220023−2323−2323−2300-44-422204-2-2-200−2323−2323−232300−1−51+5−1−51+521+521+5201+5−1−52−1−52−1−5200−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ5900−1+51−5−1+51−521−521−5201−5−1+52−1+52−1+5200ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47001+5−1−51+5−1−52−1−52−1−520−1−51+521+521+5200ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59001−5−1+51−5−1+52−1+52−1+520−1+51−521−521−5200−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ4700000000000000000000000000000000000000000000
χ1624-44-2-2-20-422200−2323−2323−232300-44-422204-2-2-20023−2323−2323−2300−1−51+5−1−51+521+521+5201+5−1−52−1−52−1−5200ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ5900−1+51−5−1+51−521−521−5201−5−1+52−1+52−1+5200−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47001+5−1−51+5−1−52−1−52−1−520−1−51+521+521+5200−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59001−5−1+51−5−1+52−1+52−1+520−1+51−521−521−5200ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ4700000000000000000000000000000000000000000000
χ1634-4-24-2-202-42223−230023−23−232300-442-4220-24-2-2−232300−232323−2300−1−51+51+52−1−51+521+520−1−521+5−1−52−1−52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ5900−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ5900−1+51−51−52−1+51−521−520−1+521−5−1+52−1+52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ4700ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47001+5−1−5−1−521+5−1−52−1−5201+52−1−51+521+52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ5900ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59001−5−1+5−1+521−5−1+52−1+5201−52−1+51−521−52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ4700−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ4700000000000000000000000000000000000000000000
χ1644-4-24-2-202-422−232300−232323−2300-442-4220-24-2-223−230023−23−232300−1−51+51+52−1−51+521+520−1−521+5−1−52−1−52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ5900ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ5900−1+51−51−52−1+51−521−520−1+521−5−1+52−1+52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ4700−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47001+5−1−5−1−521+5−1−52−1−5201+52−1−51+521+52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ5900−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59001−5−1+5−1+521−5−1+52−1+5201−52−1+51−521−52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ4700ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ4700000000000000000000000000000000000000000000
χ1654-4-2-24-2022-4223−23−23230023−2300-4422-420-2-24-2−232323−2300−232300−1−51+51+521+52−1−51+520−1−52−1−521+5−1−52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ5900−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ5900−1+51−51−521−52−1+51−520−1+52−1+521−5−1+52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ4700ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47001+5−1−5−1−52−1−521+5−1−5201+521+52−1−51+52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ5900ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59001−5−1+5−1+52−1+521−5−1+5201−521−52−1+51−52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ4700−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ4700000000000000000000000000000000000000000000
χ1664-4-2-24-2022-42−232323−2300−232300-4422-420-2-24-223−23−23230023−2300−1−51+51+521+52−1−51+520−1−52−1−521+5−1−52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ5900ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ5900−1+51−51−521−52−1+51−520−1+52−1+521−5−1+52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ4700−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47001+5−1−5−1−52−1−521+5−1−5201+521+52−1−51+52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ5900−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59001−5−1+5−1+52−1+521−5−1+5201−521−52−1+51−52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ4700ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ4700000000000000000000000000000000000000000000
χ1674-4-2-2-240222-423−2323−23−23230000-44222-40-2-2-24−2323−232323−230000−1−51+51+521+521+52−1−50−1−52−1−52−1−521+5−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ590000−1+51−51−521−521−52−1+50−1+52−1+52−1+521−5ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ4700001+5−1−5−1−52−1−52−1−521+501+521+521+52−1−5ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ5900001−5−1+5−1+52−1+52−1+521−501−521−521−52−1+5−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ470000000000000000000000000000000000000000000000
χ1684-4-2-2-240222-4−2323−232323−230000-44222-40-2-2-2423−2323−23−23230000−1−51+51+521+521+52−1−50−1−52−1−52−1−521+5ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ590000−1+51−51−521−521−52−1+50−1+52−1+52−1+521−5−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ4700001+5−1−5−1−52−1−52−1−521+501+521+521+52−1−5−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ5900001−5−1+5−1+52−1+52−1+521−501−521−521−52−1+5ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ470000000000000000000000000000000000000000000000

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