Finite Group Databasebeta

← Group #10624208

Character table — Group #10624208

Order 720.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size112222222222222222244444444444444444444444444444444444466121212121212121212121212121230304545606090
order122335566101015151515303030303666661010151515151515303030303030303030303030303030303030303030302461010122020303030306060606024446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1
χ41111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11
χ511-111111111111111111-1-11-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-11111-1-1-1-11-1-1-11-11
χ611-111111111111111111-1-11-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-11111-1-1-1-1-1111-11-1
χ711-111111111111111111-1-11-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-1-111111-1111-1-1
χ811-111111111111111111-1-11-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-1-11111-11-1-1-111
χ922222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000
χ1022222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52-2-2-21+521−52-21+521−521+521+521−521−521+521+521−521−520000000
χ1122222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000
χ1222222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52-2-2-21−521+52-21−521+521−521−521+521+521−521−521+521+520000000
χ132222-1222-12222222222-12-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002200-1-10
χ142222-1222-12222222222-12-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-200110
χ15222-1222-1222-1-1-1-1-1-1-1-1-1-12-1-1-1222-1-12-1-1-1-1-1-12-1-12-1-122-1-1-1-122-1-1-1-122-122-122-1-1-1-1-1-1-1-10000000
χ16222-1222-1222-1-1-1-1-1-1-1-1-1-12-1-1-1222-1-12-1-1-1-1-1-12-1-12-1-122-1-1-1-122-1-1-1-1-2-21-2-21-2-2111111110000000
χ17222-12−1−52−1+52-12−1−52−1+52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58-1-12-1-1-1−1−52−1+52−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ58−1−52−1−52−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ46−1+52−1+52−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ5822-1−1−52−1+52-1−1−52−1+52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ580000000
χ18222-12−1−52−1+52-12−1−52−1+52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58-1-12-1-1-1−1−52−1+52−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ58−1−52−1−52−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ46−1+52−1+52−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58-2-211+521−5211+521−52ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ58ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ580000000
χ19222-12−1−52−1+52-12−1−52−1+52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38-1-12-1-1-1−1−52−1+52−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ38−1−52−1−52−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ34−1+52−1+52−ζ2−ζ58−ζ2−ζ58−ζ22−ζ38−ζ22−ζ3822-1−1−52−1+52-1−1−52−1+52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ380000000
χ20222-12−1−52−1+52-12−1−52−1+52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38-1-12-1-1-1−1−52−1+52−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ38−1−52−1−52−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ34−1+52−1+52−ζ2−ζ58−ζ2−ζ58−ζ22−ζ38−ζ22−ζ38-2-211+521−5211+521−52ζ14+ζ46ζ26+ζ34ζ2+ζ58ζ22+ζ38ζ14+ζ46ζ26+ζ34ζ2+ζ58ζ22+ζ380000000
χ21222-12−1+52−1−52-12−1+52−1−52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34-1-12-1-1-1−1+52−1−52−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ34−1+52−1+52−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58−1−52−1−52−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ3422-1−1+52−1−52-1−1+52−1−52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ340000000
χ22222-12−1+52−1−52-12−1+52−1−52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34-1-12-1-1-1−1+52−1−52−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ34−1+52−1+52−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58−1−52−1−52−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ34-2-211−521+5211−521+52ζ22+ζ38ζ2+ζ58ζ14+ζ46ζ26+ζ34ζ22+ζ38ζ2+ζ58ζ14+ζ46ζ26+ζ340000000
χ23222-12−1+52−1−52-12−1+52−1−52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46-1-12-1-1-1−1+52−1−52−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ26−ζ34−ζ14−ζ46−1+52−1+52−ζ2−ζ58−ζ2−ζ58−ζ22−ζ38−ζ22−ζ38−1−52−1−52−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ4622-1−1+52−1−52-1−1+52−1−52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ460000000
χ24222-12−1+52−1−52-12−1+52−1−52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46-1-12-1-1-1−1+52−1−52−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ26−ζ34−ζ14−ζ46−1+52−1+52−ζ2−ζ58−ζ2−ζ58−ζ22−ζ38−ζ22−ζ38−1−52−1−52−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ46-2-211−521+5211−521+52ζ2+ζ58ζ22+ζ38ζ26+ζ34ζ14+ζ46ζ2+ζ58ζ22+ζ38ζ26+ζ34ζ14+ζ460000000
χ2522-222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-22-2-21+521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521+521+521−521−521−521−521−521−522-22−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000
χ2622-222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-22-2-21+521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521+521+521−521−521−521−521−521−52-22-21+521−522−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000
χ2722-222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-22-2-21−521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521−521−521+521+521+521+521+521+522-22−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+520000000
χ2822-222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-22-2-21−521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521−521−521+521+521+521+521+521+52-22-21−521+522−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000
χ2922-22-1222-12222222222-1-21-111-2-2-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-111111111111100000000000000002-200-110
χ3022-22-1222-12222222222-1-21-111-2-2-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-11111111111110000000000000000-22001-10
χ3122-2-1222-1222-1-1-1-1-1-1-1-1-11-2-111-2-22-1-12-1-111112-1-12-1-1-2-21111-2-211112-2-1221-2-2-1-1-1-111110000000
χ3222-2-1222-1222-1-1-1-1-1-1-1-1-11-2-111-2-22-1-12-1-111112-1-12-1-1-2-21111-2-21111-221-2-2-1221111-1-1-1-10000000
χ3322-2-12−1−52−1+52-12−1−52−1+52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58-11-2-1111+521−52−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ58ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ58−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ581+521+52ζ26+ζ34ζ26+ζ34ζ14+ζ46ζ14+ζ461−521−52ζ22+ζ38ζ22+ζ38ζ2+ζ58ζ2+ζ582-2-1−1−52−1+5211+521−52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ580000000
χ3422-2-12−1−52−1+52-12−1−52−1+52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58-11-2-1111+521−52−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ58ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ58−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ581+521+52ζ26+ζ34ζ26+ζ34ζ14+ζ46ζ14+ζ461−521−52ζ22+ζ38ζ22+ζ38ζ2+ζ58ζ2+ζ58-2211+521−52-1−1−52−1+52ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ580000000
χ3522-2-12−1−52−1+52-12−1−52−1+52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38-11-2-1111+521−52−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ38ζ14+ζ46ζ26+ζ34ζ2+ζ58ζ22+ζ38−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ381+521+52ζ14+ζ46ζ14+ζ46ζ26+ζ34ζ26+ζ341−521−52ζ2+ζ58ζ2+ζ58ζ22+ζ38ζ22+ζ382-2-1−1−52−1+5211+521−52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38ζ14+ζ46ζ26+ζ34ζ2+ζ58ζ22+ζ380000000
χ3622-2-12−1−52−1+52-12−1−52−1+52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38-11-2-1111+521−52−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ38ζ14+ζ46ζ26+ζ34ζ2+ζ58ζ22+ζ38−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ381+521+52ζ14+ζ46ζ14+ζ46ζ26+ζ34ζ26+ζ341−521−52ζ2+ζ58ζ2+ζ58ζ22+ζ38ζ22+ζ38-2211+521−52-1−1−52−1+52ζ14+ζ46ζ26+ζ34ζ2+ζ58ζ22+ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ380000000
χ3722-2-12−1+52−1−52-12−1+52−1−52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34-11-2-1111−521+52−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ34ζ22+ζ38ζ2+ζ58ζ14+ζ46ζ26+ζ34−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ341−521−52ζ22+ζ38ζ22+ζ38ζ2+ζ58ζ2+ζ581+521+52ζ14+ζ46ζ14+ζ46ζ26+ζ34ζ26+ζ342-2-1−1+52−1−5211−521+52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34ζ22+ζ38ζ2+ζ58ζ14+ζ46ζ26+ζ340000000
χ3822-2-12−1+52−1−52-12−1+52−1−52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34-11-2-1111−521+52−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ34ζ22+ζ38ζ2+ζ58ζ14+ζ46ζ26+ζ34−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ341−521−52ζ22+ζ38ζ22+ζ38ζ2+ζ58ζ2+ζ581+521+52ζ14+ζ46ζ14+ζ46ζ26+ζ34ζ26+ζ34-2211−521+52-1−1+52−1−52ζ22+ζ38ζ2+ζ58ζ14+ζ46ζ26+ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ340000000
χ3922-2-12−1+52−1−52-12−1+52−1−52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46-11-2-1111−521+52−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ26−ζ34−ζ14−ζ46ζ2+ζ58ζ22+ζ38ζ26+ζ34ζ14+ζ46−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ26−ζ34−ζ14−ζ461−521−52ζ2+ζ58ζ2+ζ58ζ22+ζ38ζ22+ζ381+521+52ζ26+ζ34ζ26+ζ34ζ14+ζ46ζ14+ζ462-2-1−1+52−1−5211−521+52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46ζ2+ζ58ζ22+ζ38ζ26+ζ34ζ14+ζ460000000
χ4022-2-12−1+52−1−52-12−1+52−1−52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46-11-2-1111−521+52−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ26−ζ34−ζ14−ζ46ζ2+ζ58ζ22+ζ38ζ26+ζ34ζ14+ζ46−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ26−ζ34−ζ14−ζ461−521−52ζ2+ζ58ζ2+ζ58ζ22+ζ38ζ22+ζ381+521+52ζ26+ζ34ζ26+ζ34ζ14+ζ46ζ14+ζ46-2211−521+52-1−1+52−1−52ζ2+ζ58ζ22+ζ38ζ26+ζ34ζ14+ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ460000000
χ412-202222-2-2-2-22222-2-2-2-2200-200002222220000-2-2-2-2-2-20000000000000000000000000000002i−2i000
χ422-202222-2-2-2-22222-2-2-2-2200-200002222220000-2-2-2-2-2-2000000000000000000000000000000−2i2i000
χ434444-2−1−5−1+54-2−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5-24-2-2-2-2−1−5−1+51+521+521+521−521−521−52−1−5−1−5−1+5−1+51+521+521+521−521−521−521+521+521+521+521+521+521−521−521−521−521−521−5200000000000000000000000
χ444444-2−1+5−1−54-2−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5-24-2-2-2-2−1+5−1−51−521−521−521+521+521+52−1+5−1+5−1−5−1−51−521−521−521+521+521+521−521−521−521−521−521−521+521+521+521+521+521+5200000000000000000000000
χ45444-2-244-2-244-2-2-2-2-2-2-2-21-2-211144-211-211-2-2-2-2-211-211-2-21111-2-2111100000000000000000000000
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χ724-40-2-2−1−5−1+5221+51−5−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ582ζ26+2ζ342ζ14+2ζ462ζ22+2ζ382ζ2+2ζ58100-1-33001+52ζ26+ζ34ζ14+ζ461−52ζ22+ζ38ζ2+ζ580000−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−2ζ14−ζ26−ζ34−2ζ462ζ14+ζ26+ζ34+2ζ46ζ14+2ζ26+2ζ34+ζ46−ζ14−2ζ26−2ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ582ζ2+ζ22+ζ38+2ζ58−2ζ2−ζ22−ζ38−2ζ58−ζ2−2ζ22−2ζ38−ζ58ζ2+2ζ22+2ζ38+ζ5800000000000000000000000
χ734-40-2-2−1−5−1+5221+51−5−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ382ζ14+2ζ462ζ26+2ζ342ζ2+2ζ582ζ22+2ζ38100-13-3001+52ζ14+ζ46ζ26+ζ341−52ζ2+ζ58ζ22+ζ380000−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ38ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46ζ14+2ζ26+2ζ34+ζ46−ζ14−2ζ26−2ζ34−ζ46−2ζ14−ζ26−ζ34−2ζ462ζ14+ζ26+ζ34+2ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ2−2ζ22−2ζ38−ζ58ζ2+2ζ22+2ζ38+ζ582ζ2+ζ22+ζ38+2ζ58−2ζ2−ζ22−ζ38−2ζ5800000000000000000000000
χ744-40-2-2−1−5−1+5221+51−5−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ382ζ14+2ζ462ζ26+2ζ342ζ2+2ζ582ζ22+2ζ38100-1-33001+52ζ14+ζ46ζ26+ζ341−52ζ2+ζ58ζ22+ζ380000−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ38−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46−ζ14−2ζ26−2ζ34−ζ46ζ14+2ζ26+2ζ34+ζ462ζ14+ζ26+ζ34+2ζ46−2ζ14−ζ26−ζ34−2ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ2+2ζ22+2ζ38+ζ58−ζ2−2ζ22−2ζ38−ζ58−2ζ2−ζ22−ζ38−2ζ582ζ2+ζ22+ζ38+2ζ5800000000000000000000000
χ754-40-2-2−1+5−1−5221−51+5−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ342ζ22+2ζ382ζ2+2ζ582ζ14+2ζ462ζ26+2ζ34100-13-3001−52ζ22+ζ38ζ2+ζ581+52ζ14+ζ46ζ26+ζ340000−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ34−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ582ζ2+ζ22+ζ38+2ζ58−2ζ2−ζ22−ζ38−2ζ58−ζ2−2ζ22−2ζ38−ζ58ζ2+2ζ22+2ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46−ζ14−2ζ26−2ζ34−ζ46ζ14+2ζ26+2ζ34+ζ462ζ14+ζ26+ζ34+2ζ46−2ζ14−ζ26−ζ34−2ζ4600000000000000000000000
χ764-40-2-2−1+5−1−5221−51+5−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ342ζ22+2ζ382ζ2+2ζ582ζ14+2ζ462ζ26+2ζ34100-1-33001−52ζ22+ζ38ζ2+ζ581+52ζ14+ζ46ζ26+ζ340000−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ34ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−2ζ2−ζ22−ζ38−2ζ582ζ2+ζ22+ζ38+2ζ58ζ2+2ζ22+2ζ38+ζ58−ζ2−2ζ22−2ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46ζ14+2ζ26+2ζ34+ζ46−ζ14−2ζ26−2ζ34−ζ46−2ζ14−ζ26−ζ34−2ζ462ζ14+ζ26+ζ34+2ζ4600000000000000000000000
χ774-40-2-2−1+5−1−5221−51+5−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ462ζ2+2ζ582ζ22+2ζ382ζ26+2ζ342ζ14+2ζ46100-13-3001−52ζ2+ζ58ζ22+ζ381+52ζ26+ζ34ζ14+ζ460000−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ26−ζ34−ζ14−ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ2+2ζ22+2ζ38+ζ58−ζ2−2ζ22−2ζ38−ζ58−2ζ2−ζ22−ζ38−2ζ582ζ2+ζ22+ζ38+2ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−2ζ14−ζ26−ζ34−2ζ462ζ14+ζ26+ζ34+2ζ46ζ14+2ζ26+2ζ34+ζ46−ζ14−2ζ26−2ζ34−ζ4600000000000000000000000
χ784-40-2-2−1+5−1−5221−51+5−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ462ζ2+2ζ582ζ22+2ζ382ζ26+2ζ342ζ14+2ζ46100-1-33001−52ζ2+ζ58ζ22+ζ381+52ζ26+ζ34ζ14+ζ460000−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ26−ζ34−ζ14−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ2−2ζ22−2ζ38−ζ58ζ2+2ζ22+2ζ38+ζ582ζ2+ζ22+ζ38+2ζ58−2ζ2−ζ22−ζ38−2ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ462ζ14+ζ26+ζ34+2ζ46−2ζ14−ζ26−ζ34−2ζ46−ζ14−2ζ26−2ζ34−ζ46ζ14+2ζ26+2ζ34+ζ4600000000000000000000000

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