Finite Group Databasebeta

← Group #13089417

Character table — Group #13089417

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11222222222224444444444444444444444444444448888888888888888888888888881818181818181818303030303030303030303030363636363636606060606060
order122233455661010366666101010101212151515151515151520203030303030303030661230303030303030303030303030303030606060606060606024442020202022222244666610102020202066661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-11-111-1-1-1-1-1-1-1-111-1-11-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111-11-1-111-1-1-1-1-1-1-1-111-11
χ5111-111-1111111111-1-1111-1-1-1-111111111-1-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-11-1-1-1111-1-11111-1-11-11-1-11
χ6111-111-1111111111-1-1111-1-1-1-111111111-1-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1111-1-1-1111111-1-1-11-111-1
χ7111-111-1111111111-1-1111-1-1-1-111111111-1-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1111-1-11-1-1
χ8111-111-1111111111-1-1111-1-1-1-111111111-1-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-111-111-111
χ911-1111-11111111-1-1111-1-111-1-111111111-1-111111111-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-11-11-11-1-1111-1-111-1-111-11-11-11
χ1011-1111-11111111-1-1111-1-111-1-111111111-1-111111111-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-11-11-111-1-1-11111-1-1111-11-11-1
χ1111-1111-11111111-1-1111-1-111-1-111111111-1-111111111-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1111111-111-11-1-11111-1-111-1-1-111-1-1-1
χ1211-1111-11111111-1-1111-1-111-1-111111111-1-111111111-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111111-11-1-11-111-1-1-1-1-1-111-1-11-1-1111
χ1311-1-11111111111-1-1-1-11-1-1-1-111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-111
χ1411-1-11111111111-1-1-1-11-1-1-1-111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111-11111-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ1511-1-11111111111-1-1-1-11-1-1-1-111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-11-1-111-11-111-1-1-1-11111-1-1111-1
χ1611-1-11111111111-1-1-1-11-1-1-1-111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-111-1-11-11-1-111-1-1111111-1-1-11
χ172222222−1−52−1+5222−1−52−1+52222222−1−52−1+52−1−52−1+5222−1−52−1−52−1−52−1−52−1+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+52222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222−1−52−1−52−1+52−1+52000000000000−1−52−1+52−1−52−1+52−1−52−1+52000000
χ182222222−1−52−1+5222−1−52−1+52222222−1−52−1+52−1−52−1+5222−1−52−1−52−1−52−1−52−1+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+52222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-21+521+521−521−520000000000001+521−521+521−521+521−52000000
χ192222222−1+52−1−5222−1+52−1−52222222−1+52−1−52−1+52−1−5222−1+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+52−1−52−1−52−1−52−1−52222−1+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+52−1+52−1−52−1−52−1−52−1−522222−1+52−1+52−1−52−1−52000000000000−1+52−1−52−1+52−1−52−1+52−1−52000000
χ202222222−1+52−1−5222−1+52−1−52222222−1+52−1−52−1+52−1−5222−1+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+52−1−52−1−52−1−52−1−52222−1+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+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+520000000000001−521+521−521+521−521+52000000
χ2122222-12222-122-12-12-1-122222-12-1-1-12-1-1-1222-1-1-12-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1000000000002220200-1-100000000-1-10-1
χ2222222-12222-122-12-12-1-122222-12-1-1-12-1-1-1222-1-1-12-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-100000000000-2-2-20-20011000000001101
χ232222-12222-1222-1-12-12-12222-12-12-1-1-12-1-122-12-1-1-12-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-10000000022200020-1-100000000-1-100-10
χ242222-12222-1222-1-12-12-12222-12-12-1-1-12-1-122-12-1-1-12-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-100000000-2-2-2000-201100000000110010
χ25222-222-2−1−52−1+5222−1−52−1+52222-2-22−1−52−1+521+521−52-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222-2-21+521+521−521−52000000000000−1−52−1+52−1−52−1+521+521−52000000
χ26222-222-2−1−52−1+5222−1−52−1+52222-2-22−1−52−1+521+521−52-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-222−1−52−1−52−1+52−1+520000000000001+521−521+521−52−1−52−1+52000000
χ27222-222-2−1+52−1−5222−1+52−1−52222-2-22−1+52−1−521−521+52-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-2−1+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+5222-2-21−521−521+521+52000000000000−1+52−1−52−1+52−1−521−521+52000000
χ28222-222-2−1+52−1−5222−1+52−1−52222-2-22−1+52−1−521−521+52-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-2−1+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+52-2-222−1+52−1+52−1−52−1−520000000000001−521+521−521+52−1+52−1−52000000
χ29222-22-1-2222-122-12-1-21-122-2-2-212-1-1-12-1-1-1-2-22-1-1-12-1-1-1-1112-1-1-12-1-1-1-2111-2111-2111-2111000000000002-2-202001100000000-110-1
χ30222-22-1-2222-122-12-1-21-122-2-2-212-1-1-12-1-1-1-2-22-1-1-12-1-1-1-1112-1-1-12-1-1-1-2111-2111-2111-211100000000000-2220-200-1-1000000001-101
χ31222-2-12-222-1222-1-121-2-122-2-21-2-12-1-1-12-1-1-2-2-12-1-1-12-1-1-111-12-1-1-12-1-11-2111-2111-2111-2110000000022-2000-20-1-100000000-110010
χ32222-2-12-222-1222-1-121-2-122-2-21-2-12-1-1-12-1-1-2-2-12-1-1-12-1-1-111-12-1-1-12-1-11-2111-2111-2111-21100000000-2-220002011000000001-100-10
χ3322-2222-2−1−52−1+5222−1−52−1+522-2-22221+521−52−1−52−1+52-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22-21+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-22-21+521+521−521−52000000000000−1−52−1+521+521−52−1−52−1+52000000
χ3422-2222-2−1−52−1+5222−1−52−1+522-2-22221+521−52−1−52−1+52-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22-21+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-22-22−1−52−1−52−1+52−1+520000000000001+521−52−1−52−1+521+521−52000000
χ3522-2222-2−1+52−1−5222−1+52−1−522-2-22221−521+52−1+52−1−52-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22-21−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-22-21−521−521+521+52000000000000−1+52−1−521−521+52−1+52−1−52000000
χ3622-2222-2−1+52−1−5222−1+52−1−522-2-22221−521+52−1+52−1−52-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22-21−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-22-22−1+52−1+52−1−52−1−520000000000001−521+52−1+52−1−521−521+52000000
χ3722-222-1-2222-122-1-212-1-1-2-222-212-1-1-12-1-1-1-2-22-1-1-12-1-1-11-11-2111-21112-1-1-12-1-1-1-2111-2111000000000002-220-200-1-100000000-1101
χ3822-222-1-2222-122-1-212-1-1-2-222-212-1-1-12-1-1-1-2-22-1-1-12-1-1-11-11-2111-21112-1-1-12-1-1-1-2111-211100000000000-22-2020011000000001-10-1
χ3922-22-12-222-1222-11-2-12-1-2-2221-2-12-1-1-12-1-1-2-2-12-1-1-12-1-11-111-2111-211-12-1-1-12-1-11-2111-211000000002-22000-20-1-1000000001-10010
χ4022-22-12-222-1222-11-2-12-1-2-2221-2-12-1-1-12-1-1-2-2-12-1-1-12-1-11-111-2111-211-12-1-1-12-1-11-2111-21100000000-22-2000201100000000-1100-10
χ4122-2-2222−1−52−1+5222−1−52−1+522-2-2-2-221+521−521+521−5222−1−52−1−52−1−52−1−52−1+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+52-2-221+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-22−1−52−1−52−1+52−1+52000000000000−1−52−1+521+521−521+521−52000000
χ4222-2-2222−1−52−1+5222−1−52−1+522-2-2-2-221+521−521+521−5222−1−52−1−52−1−52−1−52−1+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+52-2-221+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-222-21+521+521−521−520000000000001+521−52−1−52−1+52−1−52−1+52000000
χ4322-2-2222−1+52−1−5222−1+52−1−522-2-2-2-221−521+521−521+5222−1+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+52−1−52−1−52−1−52−1−52-2-221−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-22−1+52−1+52−1−52−1−52000000000000−1+52−1−521−521+521−521+52000000
χ4422-2-2222−1+52−1−5222−1+52−1−522-2-2-2-221−521+521−521+5222−1+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+52−1−52−1−52−1−52−1−52-2-221−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-222-21−521−521+521+520000000000001−521+52−1+52−1−52−1+52−1−52000000
χ4522-2-22-12222-122-1-21-21-1-2-2-2-22-12-1-1-12-1-1-1222-1-1-12-1-1-111-1-2111-2111-2111-21112-1-1-12-1-1-10000000000022-20-2001100000000-1-101
χ4622-2-22-12222-122-1-21-21-1-2-2-2-22-12-1-1-12-1-1-1222-1-1-12-1-1-111-1-2111-2111-2111-21112-1-1-12-1-1-100000000000-2-220200-1-100000000110-1
χ4722-2-2-12222-1222-11-21-2-1-2-2-2-2-12-12-1-1-12-1-122-12-1-1-12-1-111-11-2111-2111-2111-211-12-1-1-12-1-1000000002-2-200020-1-1000000001100-10
χ4822-2-2-12222-1222-11-21-2-1-2-2-2-2-12-12-1-1-12-1-122-12-1-1-12-1-111-11-2111-2111-2111-211-12-1-1-12-1-100000000-222000-201100000000-1-10010
χ4944444-24−1−5−1+54-2−1−5−1+5-24-24-2-2−1−5−1+5−1−5−1+54-2−1−51+521+521+52−1+51−521−521−52−1−5−1+5−1−51+521+521+52−1+51−521−521−52-2-2-2−1−51+521+521+52−1+51−521−521−52−1−51+521+521+52−1+51−521−521−52−1−51+521+521+52−1+51−521−521−5200000000000000000000000000000000
χ5044444-24−1+5−1−54-2−1+5−1−5-24-24-2-2−1+5−1−5−1+5−1−54-2−1+51−521−521−52−1−51+521+521+52−1+5−1−5−1+51−521−521−52−1−51+521+521+52-2-2-2−1+51−521−521−52−1−51+521+521+52−1+51−521−521−52−1−51+521+521+52−1+51−521−521−52−1−51+521+521+5200000000000000000000000000000000
χ514444-244−1−5−1+5-24−1−5−1+5-2-24-24-2−1−5−1+5−1−5−1+5-241+52−1−51+521+521−52−1+51−521−52−1−5−1+51+52−1−51+521+521−52−1+51−521−52-2-2-21+52−1−51+521+521−52−1+51−521−521+52−1−51+521+521−52−1+51−521−521+52−1−51+521+521−52−1+51−521−5200000000000000000000000000000000
χ524444-244−1+5−1−5-24−1+5−1−5-2-24-24-2−1+5−1−5−1+5−1−5-241−52−1+51−521−521+52−1−51+521+52−1+5−1−51−52−1+51−521−521+52−1−51+521+52-2-2-21−52−1+51−521−521+52−1−51+521+521−52−1+51−521−521+52−1−51+521+521−52−1+51−521−521+52−1−51+521+5200000000000000000000000000000000
χ534444-2-2444-2-2441-2-2-2-214444-2-2-2-211-2-21144-2-211-2-211111-2-211-2-211-2-211-2-211-2-211-2-21100000000000000000000000000000000
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χ8244-4-4-2-24−1−5−1+5-2-2−1−5−1+51222211+51−51+51−5-2-21+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−1−5−1+51+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58-1-11−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ5800000000000000000000000000000000
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χ8444-4-4-2-24−1+5−1−5-2-2−1+5−1−51222211−51+51−51+5-2-21−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−1+5−1−51−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46-1-11−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ4600000000000000000000000000000000
χ854-40044044-4-4-4-440000-40000004444444400-4-4-4-4-4-4-4-400000000000000000000000000000000000000000000000000000000000
χ864-400440−1−5−1+5-4-41+51−540000-4000000−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+5001+51+51+51+51−51−51−51−50000000000000000000000000000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47000000000000000000000000
χ874-400440−1−5−1+5-4-41+51−540000-4000000−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+5001+51+51+51+51−51−51−51−500000000000000000000000000000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47000000000000000000000000
χ884-400440−1+5−1−5-4-41−51+540000-4000000−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−5001−51−51−51−51+51+51+51+500000000000000000000000000000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59000000000000000000000000
χ894-400440−1+5−1−5-4-41−51+540000-4000000−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−5001−51−51−51−51+51+51+51+50000000000000000000000000000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59000000000000000000000000
χ904-4004-2044-42-4-4-2000020000004-2-2-24-2-2-200-4222-4222000000000000000000000000000000000000000000000−2i32i3000000000000
χ914-4004-2044-42-4-4-2000020000004-2-2-24-2-2-200-4222-42220000000000000000000000000000000000000000000002i3−2i3000000000000
χ924-400-240442-4-4-4-200002000000-24-2-2-24-2-2002-4222-4220000000000000000000000000000000000000000000−2i32i300000000000000
χ934-400-240442-4-4-4-200002000000-24-2-2-24-2-2002-4222-42200000000000000000000000000000000000000000002i3−2i300000000000000
χ948-8008-40−2−25−2+25-842+252−25-400004000000−2−251+51+51+5−2+251−51−51−5002+25−1−5−1−5−1−52−25−1+5−1+5−1+500000000000000000000000000000000000000000000000000000000000
χ958-8008-40−2+25−2−25-842−252+25-400004000000−2+251−51−51−5−2−251+51+51+5002−25−1+5−1+5−1+52+25−1−5−1−5−1−500000000000000000000000000000000000000000000000000000000000
χ968-800-480−2−25−2+254-82+252−25-4000040000001+5−2−251+51+51−5−2+251−51−500−1−52+25−1−5−1−5−1+52−25−1+5−1+500000000000000000000000000000000000000000000000000000000000
χ978-800-480−2+25−2−254-82−252+25-4000040000001−5−2+251−51−51+5−2−251+51+500−1+52−25−1+5−1+5−1−52+25−1−5−1−500000000000000000000000000000000000000000000000000000000000
χ988-800-4-408844-8-820000-2000000-4-422-4-4220044-2-244-2-200000000000000000000000000000000000000000000000000000000000
χ998-800-4-40−2−25−2+25442+252−2520000-20000001+51+5−2ζ14+4ζ26−2ζ34+4ζ464ζ14−2ζ26+4ζ34−2ζ461−51−54ζ2+4ζ22−2ζ38−2ζ58−2ζ2−2ζ22+4ζ38+4ζ5800−1−5−1−52ζ14−4ζ26+2ζ34−4ζ46−4ζ14+2ζ26−4ζ34+2ζ46−1+5−1+5−4ζ2−4ζ22+2ζ38+2ζ582ζ2+2ζ22−4ζ38−4ζ5800000000000000000000000000000000000000000000000000000000000
χ1008-800-4-40−2−25−2+25442+252−2520000-20000001+51+54ζ14−2ζ26+4ζ34−2ζ46−2ζ14+4ζ26−2ζ34+4ζ461−51−5−2ζ2−2ζ22+4ζ38+4ζ584ζ2+4ζ22−2ζ38−2ζ5800−1−5−1−5−4ζ14+2ζ26−4ζ34+2ζ462ζ14−4ζ26+2ζ34−4ζ46−1+5−1+52ζ2+2ζ22−4ζ38−4ζ58−4ζ2−4ζ22+2ζ38+2ζ5800000000000000000000000000000000000000000000000000000000000
χ1018-800-4-40−2+25−2−25442−252+2520000-20000001−51−54ζ2+4ζ22−2ζ38−2ζ58−2ζ2−2ζ22+4ζ38+4ζ581+51+54ζ14−2ζ26+4ζ34−2ζ46−2ζ14+4ζ26−2ζ34+4ζ4600−1+5−1+5−4ζ2−4ζ22+2ζ38+2ζ582ζ2+2ζ22−4ζ38−4ζ58−1−5−1−5−4ζ14+2ζ26−4ζ34+2ζ462ζ14−4ζ26+2ζ34−4ζ4600000000000000000000000000000000000000000000000000000000000
χ1028-800-4-40−2+25−2−25442−252+2520000-20000001−51−5−2ζ2−2ζ22+4ζ38+4ζ584ζ2+4ζ22−2ζ38−2ζ581+51+5−2ζ14+4ζ26−2ζ34+4ζ464ζ14−2ζ26+4ζ34−2ζ4600−1+5−1+52ζ2+2ζ22−4ζ38−4ζ58−4ζ2−4ζ22+2ζ38+2ζ58−1−5−1−52ζ14−4ζ26+2ζ34−4ζ46−4ζ14+2ζ26−4ζ34+2ζ4600000000000000000000000000000000000000000000000000000000000

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