Finite Group Databasebeta

← Group #10624196

Character table — Group #10624196

Order 720.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size112222222222222222244444444444444444444444444444444444466121212121212121212121212121230304545606090
order1233455661010151515153030303036121212121515151515152020303030303030606060606060606060606060606060602266101010103030303030303030444412122
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
χ51111-11111111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11111-1-1-1-11-1111-1-1
χ61111-11111111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11111-1-1-1-1-11-1-1-111
χ71111-11111111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-111111-1-1-11-11
χ81111-11111111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-11111-1111-11-1
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+522222−1−52−1+52−1−52−1+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+52-2-2-2-21+521−521+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+52−1−52−1−52−1−52−1−52−1−52−1−522222−1+52−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52-2-2-2-21−521+521−521+521−521−521+521+521−521−521+521+520000000
χ132222-2−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+521+521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521−521−521+521+521+521+521+521+521−521−521−521−521−521−522-22-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000
χ142222-2−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+521+521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521−521−521+521+521+521+521+521+521−521−521−521−521−521−52-22-221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000
χ152222-2−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−521−521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521+521+521−521−521−521−521−521−521+521+521+521+521+521+522-22-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000000
χ162222-2−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−521−521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521+521+521−521−521−521−521−521−521+521+521+521+521+521+52-22-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000
χ17222-1222-1222-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12-1-1222-1-12-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-12222-1-1-1-1-1-1-1-10000000
χ18222-1222-1222-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12-1-1222-1-12-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-211-2-2-2-2111111110000000
χ19222-12−1−52−1+52-12−1−52−1+52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58-1-1-12-1-1−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ58−1−52−1+52−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−1−52−1−52−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ46−1+52−1+52−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ5822-1-1−1−52−1+52−1−52−1+52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ580000000
χ20222-12−1−52−1+52-12−1−52−1+52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58-1-1-12-1-1−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ58−1−52−1+52−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−1−52−1−52−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ46−1+52−1+52−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58-2-2111+521−521+521−52ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ58ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ580000000
χ21222-12−1−52−1+52-12−1−52−1+52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38-1-1-12-1-1−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ38−1−52−1+52−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−1−52−1−52−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ34−1+52−1+52−ζ2−ζ58−ζ2−ζ58−ζ22−ζ38−ζ22−ζ3822-1-1−1−52−1+52−1−52−1+52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ380000000
χ22222-12−1−52−1+52-12−1−52−1+52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38-1-1-12-1-1−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ38−1−52−1+52−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−1−52−1−52−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ34−1+52−1+52−ζ2−ζ58−ζ2−ζ58−ζ22−ζ38−ζ22−ζ38-2-2111+521−521+521−52ζ14+ζ46ζ26+ζ34ζ2+ζ58ζ22+ζ38ζ14+ζ46ζ26+ζ34ζ2+ζ58ζ22+ζ380000000
χ23222-12−1+52−1−52-12−1+52−1−52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34-1-1-12-1-1−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ34−1+52−1−52−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−1+52−1+52−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58−1−52−1−52−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ3422-1-1−1+52−1−52−1+52−1−52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ340000000
χ24222-12−1+52−1−52-12−1+52−1−52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34-1-1-12-1-1−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ34−1+52−1−52−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−1+52−1+52−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58−1−52−1−52−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ34-2-2111−521+521−521+52ζ22+ζ38ζ2+ζ58ζ14+ζ46ζ26+ζ34ζ22+ζ38ζ2+ζ58ζ14+ζ46ζ26+ζ340000000
χ25222-12−1+52−1−52-12−1+52−1−52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46-1-1-12-1-1−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ26−ζ34−ζ14−ζ46−1+52−1−52−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−1+52−1+52−ζ2−ζ58−ζ2−ζ58−ζ22−ζ38−ζ22−ζ38−1−52−1−52−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ4622-1-1−1+52−1−52−1+52−1−52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ460000000
χ26222-12−1+52−1−52-12−1+52−1−52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46-1-1-12-1-1−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ26−ζ34−ζ14−ζ46−1+52−1−52−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−1+52−1+52−ζ2−ζ58−ζ2−ζ58−ζ22−ζ38−ζ22−ζ38−1−52−1−52−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ46-2-2111−521+521−521+52ζ2+ζ58ζ22+ζ38ζ26+ζ34ζ14+ζ46ζ2+ζ58ζ22+ζ38ζ26+ζ34ζ14+ζ460000000
χ27222-1-222-1222-1-1-1-1-1-1-1-1-1-11-2112-1-12-1-1-2-22-1-12-1-11111-2-21111-2-211112-2-1122-2-2-1-1-1-111110000000
χ28222-1-222-1222-1-1-1-1-1-1-1-1-1-11-2112-1-12-1-1-2-22-1-12-1-11111-2-21111-2-21111-221-1-2-2221111-1-1-1-10000000
χ29222-1-2−1−52−1+52-12−1−52−1+52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58-1-11-211−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ581+521−52−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ58ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ581+521+52ζ26+ζ34ζ26+ζ34ζ14+ζ46ζ14+ζ461−521−52ζ22+ζ38ζ22+ζ38ζ2+ζ58ζ2+ζ582-2-11−1−52−1+521+521−52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ580000000
χ30222-1-2−1−52−1+52-12−1−52−1+52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58-1-11-211−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ581+521−52−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ58ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ581+521+52ζ26+ζ34ζ26+ζ34ζ14+ζ46ζ14+ζ461−521−52ζ22+ζ38ζ22+ζ38ζ2+ζ58ζ2+ζ58-221-11+521−52−1−52−1+52ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ580000000
χ31222-1-2−1−52−1+52-12−1−52−1+52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38-1-11-211−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ381+521−52−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ38ζ14+ζ46ζ26+ζ34ζ2+ζ58ζ22+ζ381+521+52ζ14+ζ46ζ14+ζ46ζ26+ζ34ζ26+ζ341−521−52ζ2+ζ58ζ2+ζ58ζ22+ζ38ζ22+ζ382-2-11−1−52−1+521+521−52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38ζ14+ζ46ζ26+ζ34ζ2+ζ58ζ22+ζ380000000
χ32222-1-2−1−52−1+52-12−1−52−1+52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38-1-11-211−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ381+521−52−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ38ζ14+ζ46ζ26+ζ34ζ2+ζ58ζ22+ζ381+521+52ζ14+ζ46ζ14+ζ46ζ26+ζ34ζ26+ζ341−521−52ζ2+ζ58ζ2+ζ58ζ22+ζ38ζ22+ζ38-221-11+521−52−1−52−1+52ζ14+ζ46ζ26+ζ34ζ2+ζ58ζ22+ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ380000000
χ33222-1-2−1+52−1−52-12−1+52−1−52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34-1-11-211−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ341−521+52−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ34ζ22+ζ38ζ2+ζ58ζ14+ζ46ζ26+ζ341−521−52ζ22+ζ38ζ22+ζ38ζ2+ζ58ζ2+ζ581+521+52ζ14+ζ46ζ14+ζ46ζ26+ζ34ζ26+ζ342-2-11−1+52−1−521−521+52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34ζ22+ζ38ζ2+ζ58ζ14+ζ46ζ26+ζ340000000
χ34222-1-2−1+52−1−52-12−1+52−1−52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34-1-11-211−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ341−521+52−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ34ζ22+ζ38ζ2+ζ58ζ14+ζ46ζ26+ζ341−521−52ζ22+ζ38ζ22+ζ38ζ2+ζ58ζ2+ζ581+521+52ζ14+ζ46ζ14+ζ46ζ26+ζ34ζ26+ζ34-221-11−521+52−1+52−1−52ζ22+ζ38ζ2+ζ58ζ14+ζ46ζ26+ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ340000000
χ35222-1-2−1+52−1−52-12−1+52−1−52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46-1-11-211−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ26−ζ34−ζ14−ζ461−521+52−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ26−ζ34−ζ14−ζ46ζ2+ζ58ζ22+ζ38ζ26+ζ34ζ14+ζ461−521−52ζ2+ζ58ζ2+ζ58ζ22+ζ38ζ22+ζ381+521+52ζ26+ζ34ζ26+ζ34ζ14+ζ46ζ14+ζ462-2-11−1+52−1−521−521+52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46ζ2+ζ58ζ22+ζ38ζ26+ζ34ζ14+ζ460000000
χ36222-1-2−1+52−1−52-12−1+52−1−52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46-1-11-211−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ26−ζ34−ζ14−ζ461−521+52−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ26−ζ34−ζ14−ζ46ζ2+ζ58ζ22+ζ38ζ26+ζ34ζ14+ζ461−521−52ζ2+ζ58ζ2+ζ58ζ22+ζ38ζ22+ζ381+521+52ζ26+ζ34ζ26+ζ34ζ14+ζ46ζ14+ζ46-221-11−521+52−1+52−1−52ζ2+ζ58ζ22+ζ38ζ26+ζ34ζ14+ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ460000000
χ3722-122222-12222222222-1-12-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000002200-1-10
χ3822-122222-12222222222-1-12-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-200110
χ3922-12-2222-12222222222-1-1-2111-1-1-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-211111111111100000000000000002-200-110
χ4022-12-2222-12222222222-1-1-2111-1-1-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-21111111111110000000000000000-22001-10
χ412-222022-2-2-2-22222-2-2-2-22-2000022222200-2-2-2-2-2-200000000000000000000000000000000002i−2i000
χ422-222022-2-2-2-22222-2-2-2-22-2000022222200-2-2-2-2-2-20000000000000000000000000000000000−2i2i000
χ4344-244−1−5−1+54-2−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5-2-24-2-2-21+521+521+521−521−521−52−1−5−1+51+521+521+521−521−521−52−1−5−1−5−1+5−1+51+521+521+521+521+521+521−521−521−521−521−521−5200000000000000000000000
χ4444-244−1+5−1−54-2−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5-2-24-2-2-21−521−521−521+521+521+52−1+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+5200000000000000000000000
χ4544-24-4−1−5−1+54-2−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5-2-2-42221+521+521+521−521−521−521+51−51+521+521+521−521−521−521+51+51−51−5−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+5200000000000000000000000
χ4644-24-4−1+5−1−54-2−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5-2-2-42221−521−521−521+521+521+521−51+51−521−521−521+521+521+521−51−51+51+5−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−5200000000000000000000000
χ4744-2-2444-2-244-2-2-2-2-2-2-2-211-2-211-211-21144-211-211-2-2-2-2-2-21111-2-2111100000000000000000000000
χ4844-2-24−1−5−1+5-2-2−1−5−1+5−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ5811-2-2111+52ζ26+ζ34ζ14+ζ461−52ζ22+ζ38ζ2+ζ58−1−5−1+51+52ζ26+ζ34ζ14+ζ461−52ζ22+ζ38ζ2+ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ581+521+52ζ26+ζ34ζ26+ζ34ζ14+ζ46ζ14+ζ461−521−52ζ22+ζ38ζ22+ζ38ζ2+ζ58ζ2+ζ5800000000000000000000000
χ4944-2-24−1−5−1+5-2-2−1−5−1+5−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ3811-2-2111+52ζ14+ζ46ζ26+ζ341−52ζ2+ζ58ζ22+ζ38−1−5−1+51+52ζ14+ζ46ζ26+ζ341−52ζ2+ζ58ζ22+ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ381+521+52ζ14+ζ46ζ14+ζ46ζ26+ζ34ζ26+ζ341−521−52ζ2+ζ58ζ2+ζ58ζ22+ζ38ζ22+ζ3800000000000000000000000
χ5044-2-24−1+5−1−5-2-2−1+5−1−5−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ3411-2-2111−52ζ22+ζ38ζ2+ζ581+52ζ14+ζ46ζ26+ζ34−1+5−1−51−52ζ22+ζ38ζ2+ζ581+52ζ14+ζ46ζ26+ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ341−521−52ζ22+ζ38ζ22+ζ38ζ2+ζ58ζ2+ζ581+521+52ζ14+ζ46ζ14+ζ46ζ26+ζ34ζ26+ζ3400000000000000000000000
χ5144-2-24−1+5−1−5-2-2−1+5−1−5−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ46−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ4611-2-2111−52ζ2+ζ58ζ22+ζ381+52ζ26+ζ34ζ14+ζ46−1+5−1−51−52ζ2+ζ58ζ22+ζ381+52ζ26+ζ34ζ14+ζ46−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ461−521−52ζ2+ζ58ζ2+ζ58ζ22+ζ38ζ22+ζ381+521+52ζ26+ζ34ζ26+ζ34ζ14+ζ46ζ14+ζ4600000000000000000000000
χ5244-2-2-444-2-244-2-2-2-2-2-2-2-21122-1-1-211-211-4-4-211-211222222-1-1-1-122-1-1-1-100000000000000000000000
χ5344-2-2-4−1−5−1+5-2-2−1−5−1+5−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ581122-1-11+52ζ26+ζ34ζ14+ζ461−52ζ22+ζ38ζ2+ζ581+51−51+52ζ26+ζ34ζ14+ζ461−52ζ22+ζ38ζ2+ζ582ζ26+2ζ342ζ14+2ζ462ζ22+2ζ382ζ2+2ζ58−1−52−1−52−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ46−1+52−1+52−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ5800000000000000000000000
χ5444-2-2-4−1−5−1+5-2-2−1−5−1+5−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ381122-1-11+52ζ14+ζ46ζ26+ζ341−52ζ2+ζ58ζ22+ζ381+51−51+52ζ14+ζ46ζ26+ζ341−52ζ2+ζ58ζ22+ζ382ζ14+2ζ462ζ26+2ζ342ζ2+2ζ582ζ22+2ζ38−1−52−1−52−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ34−1+52−1+52−ζ2−ζ58−ζ2−ζ58−ζ22−ζ38−ζ22−ζ3800000000000000000000000
χ5544-2-2-4−1+5−1−5-2-2−1+5−1−5−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ341122-1-11−52ζ22+ζ38ζ2+ζ581+52ζ14+ζ46ζ26+ζ341−51+51−52ζ22+ζ38ζ2+ζ581+52ζ14+ζ46ζ26+ζ342ζ22+2ζ382ζ2+2ζ582ζ14+2ζ462ζ26+2ζ34−1+52−1+52−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58−1−52−1−52−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ3400000000000000000000000
χ5644-2-2-4−1+5−1−5-2-2−1+5−1−5−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ46−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ461122-1-11−52ζ2+ζ58ζ22+ζ381+52ζ26+ζ34ζ14+ζ461−51+51−52ζ2+ζ58ζ22+ζ381+52ζ26+ζ34ζ14+ζ462ζ2+2ζ582ζ22+2ζ382ζ26+2ζ342ζ14+2ζ46−1+52−1+52−ζ2−ζ58−ζ2−ζ58−ζ22−ζ38−ζ22−ζ38−1−52−1−52−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ4600000000000000000000000
χ574-4440−1−5−1+5-4-41+51−5−1−5−1−5−1+5−1+51+51+51−51−54-40000−1−5−1−5−1−5−1+5−1+5−1+5001+51+51+51−51−51−5000000000000000000000000000000000000000
χ584-4440−1+5−1−5-4-41−51+5−1+5−1+5−1−5−1−51−51−51+51+54-40000−1+5−1+5−1+5−1−5−1−5−1−5001−51−51−51+51+51+5000000000000000000000000000000000000000
χ594-44-20442-4-4-4-2-2-2-22222-2200004-2-24-2-200-422-422000000000000000000000000000000000000000
χ604-44-20−1−5−1+52-41+51−5−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ582ζ26+2ζ342ζ14+2ζ462ζ22+2ζ382ζ2+2ζ58-220000−1−5−2ζ26−2ζ34−2ζ14−2ζ46−1+5−2ζ22−2ζ38−2ζ2−2ζ58001+52ζ26+2ζ342ζ14+2ζ461−52ζ22+2ζ382ζ2+2ζ58000000000000000000000000000000000000000
χ614-44-20−1−5−1+52-41+51−5−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ382ζ14+2ζ462ζ26+2ζ342ζ2+2ζ582ζ22+2ζ38-220000−1−5−2ζ14−2ζ46−2ζ26−2ζ34−1+5−2ζ2−2ζ58−2ζ22−2ζ38001+52ζ14+2ζ462ζ26+2ζ341−52ζ2+2ζ582ζ22+2ζ38000000000000000000000000000000000000000
χ624-44-20−1+5−1−52-41−51+5−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ342ζ22+2ζ382ζ2+2ζ582ζ14+2ζ462ζ26+2ζ34-220000−1+5−2ζ22−2ζ38−2ζ2−2ζ58−1−5−2ζ14−2ζ46−2ζ26−2ζ34001−52ζ22+2ζ382ζ2+2ζ581+52ζ14+2ζ462ζ26+2ζ34000000000000000000000000000000000000000
χ634-44-20−1+5−1−52-41−51+5−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ462ζ2+2ζ582ζ22+2ζ382ζ26+2ζ342ζ14+2ζ46-220000−1+5−2ζ2−2ζ58−2ζ22−2ζ38−1−5−2ζ26−2ζ34−2ζ14−2ζ46001−52ζ2+2ζ582ζ22+2ζ381+52ζ26+2ζ342ζ14+2ζ46000000000000000000000000000000000000000
χ644-4-24044-42-4-44444-4-4-4-4-220000-2-2-2-2-2-200222222000000000000000000000000000000000000000
χ654-4-240−1−5−1+5-421+51−5−1−5−1−5−1+5−1+51+51+51−51−5-2200001+521+521+521−521−521−5200−1−52−1−52−1−52−1+52−1+52−1+520000ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ4700000000000000000000000
χ664-4-240−1−5−1+5-421+51−5−1−5−1−5−1+5−1+51+51+51−51−5-2200001+521+521+521−521−521−5200−1−52−1−52−1−52−1+52−1+52−1+520000−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ4700000000000000000000000
χ674-4-240−1+5−1−5-421−51+5−1+5−1+5−1−5−1−51−51−51+51+5-2200001−521−521−521+521+521+5200−1+52−1+52−1+52−1−52−1−52−1−520000−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ5900000000000000000000000
χ684-4-240−1+5−1−5-421−51+5−1+5−1+5−1−5−1−51−51−51+51+5-2200001−521−521−521+521+521+5200−1+52−1+52−1+52−1−52−1−52−1−520000ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ5900000000000000000000000
χ694-4-2-204422-4-4-2-2-2-222221-1003i−3i-211-211002-1-12-1-10000003i−3i−3i3i00−3i3i3i−3i00000000000000000000000
χ704-4-2-204422-4-4-2-2-2-222221-100−3i3i-211-211002-1-12-1-1000000−3i3i3i−3i003i−3i−3i3i00000000000000000000000
χ714-4-2-20−1−5−1+5221+51−5−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ582ζ26+2ζ342ζ14+2ζ462ζ22+2ζ382ζ2+2ζ581-1003i−3i1+52ζ26+ζ34ζ14+ζ461−52ζ22+ζ38ζ2+ζ5800−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ580000−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19−2ζ31−2ζ59ζ11+ζ19+2ζ31+2ζ592ζ11+2ζ19+ζ31+ζ59−2ζ11−2ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23+2ζ43+2ζ47−ζ7−ζ23−2ζ43−2ζ47−2ζ7−2ζ23−ζ43−ζ472ζ7+2ζ23+ζ43+ζ4700000000000000000000000
χ724-4-2-20−1−5−1+5221+51−5−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ582ζ26+2ζ342ζ14+2ζ462ζ22+2ζ382ζ2+2ζ581-100−3i3i1+52ζ26+ζ34ζ14+ζ461−52ζ22+ζ38ζ2+ζ5800−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ580000ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19+2ζ31+2ζ59−ζ11−ζ19−2ζ31−2ζ59−2ζ11−2ζ19−ζ31−ζ592ζ11+2ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23−2ζ43−2ζ47ζ7+ζ23+2ζ43+2ζ472ζ7+2ζ23+ζ43+ζ47−2ζ7−2ζ23−ζ43−ζ4700000000000000000000000
χ734-4-2-20−1−5−1+5221+51−5−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ382ζ14+2ζ462ζ26+2ζ342ζ2+2ζ582ζ22+2ζ381-1003i−3i1+52ζ14+ζ46ζ26+ζ341−52ζ2+ζ58ζ22+ζ3800−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ380000ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−2ζ11−2ζ19−ζ31−ζ592ζ11+2ζ19+ζ31+ζ59ζ11+ζ19+2ζ31+2ζ59−ζ11−ζ19−2ζ31−2ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ472ζ7+2ζ23+ζ43+ζ47−2ζ7−2ζ23−ζ43−ζ47−ζ7−ζ23−2ζ43−2ζ47ζ7+ζ23+2ζ43+2ζ4700000000000000000000000
χ744-4-2-20−1−5−1+5221+51−5−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ382ζ14+2ζ462ζ26+2ζ342ζ2+2ζ582ζ22+2ζ381-100−3i3i1+52ζ14+ζ46ζ26+ζ341−52ζ2+ζ58ζ22+ζ3800−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ380000−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ592ζ11+2ζ19+ζ31+ζ59−2ζ11−2ζ19−ζ31−ζ59−ζ11−ζ19−2ζ31−2ζ59ζ11+ζ19+2ζ31+2ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−2ζ7−2ζ23−ζ43−ζ472ζ7+2ζ23+ζ43+ζ47ζ7+ζ23+2ζ43+2ζ47−ζ7−ζ23−2ζ43−2ζ4700000000000000000000000
χ754-4-2-20−1+5−1−5221−51+5−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ342ζ22+2ζ382ζ2+2ζ582ζ14+2ζ462ζ26+2ζ341-1003i−3i1−52ζ22+ζ38ζ2+ζ581+52ζ14+ζ46ζ26+ζ3400−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ340000−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23−2ζ43−2ζ47ζ7+ζ23+2ζ43+2ζ472ζ7+2ζ23+ζ43+ζ47−2ζ7−2ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ592ζ11+2ζ19+ζ31+ζ59−2ζ11−2ζ19−ζ31−ζ59−ζ11−ζ19−2ζ31−2ζ59ζ11+ζ19+2ζ31+2ζ5900000000000000000000000
χ764-4-2-20−1+5−1−5221−51+5−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ342ζ22+2ζ382ζ2+2ζ582ζ14+2ζ462ζ26+2ζ341-100−3i3i1−52ζ22+ζ38ζ2+ζ581+52ζ14+ζ46ζ26+ζ3400−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ340000ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23+2ζ43+2ζ47−ζ7−ζ23−2ζ43−2ζ47−2ζ7−2ζ23−ζ43−ζ472ζ7+2ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−2ζ11−2ζ19−ζ31−ζ592ζ11+2ζ19+ζ31+ζ59ζ11+ζ19+2ζ31+2ζ59−ζ11−ζ19−2ζ31−2ζ5900000000000000000000000
χ774-4-2-20−1+5−1−5221−51+5−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ462ζ2+2ζ582ζ22+2ζ382ζ26+2ζ342ζ14+2ζ461-1003i−3i1−52ζ2+ζ58ζ22+ζ381+52ζ26+ζ34ζ14+ζ4600−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ26−ζ34−ζ14−ζ460000ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−2ζ7−2ζ23−ζ43−ζ472ζ7+2ζ23+ζ43+ζ47ζ7+ζ23+2ζ43+2ζ47−ζ7−ζ23−2ζ43−2ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19+2ζ31+2ζ59−ζ11−ζ19−2ζ31−2ζ59−2ζ11−2ζ19−ζ31−ζ592ζ11+2ζ19+ζ31+ζ5900000000000000000000000
χ784-4-2-20−1+5−1−5221−51+5−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ462ζ2+2ζ582ζ22+2ζ382ζ26+2ζ342ζ14+2ζ461-100−3i3i1−52ζ2+ζ58ζ22+ζ381+52ζ26+ζ34ζ14+ζ4600−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ26−ζ34−ζ14−ζ460000−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ472ζ7+2ζ23+ζ43+ζ47−2ζ7−2ζ23−ζ43−ζ47−ζ7−ζ23−2ζ43−2ζ47ζ7+ζ23+2ζ43+2ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19−2ζ31−2ζ59ζ11+ζ19+2ζ31+2ζ592ζ11+2ζ19+ζ31+ζ59−2ζ11−2ζ19−ζ31−ζ5900000000000000000000000

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