Finite Group Databasebeta

← Group #11755307

Character table — Group #11755307

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size112222222222222224444444444444444444444444444888888888888101010101010121212121212121212121212121212121212121220202020202020202060606060
order1222234444556101012126661010101010101212121515202020202020202030306060606030303030303060606060606088242424242224101010101010101010101010202020208882424242424242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111-1-111-1-1111111111-1-111-1-1-1-11-1-1111111-1-1-1-111111111-1-1-1-111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-111-1
χ6111-1-111-1-1111111111-1-111-1-1-1-11-1-1111111-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-11-1-11
χ7111-1-111-1-1111111111-1-111-1-1-1-11-1-1111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-111-1-111111-1-11
χ8111-1-111-1-1111111111-1-111-1-1-1-11-1-1111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-111-1-11111-111-1
χ911-11-11-11-111111111-11-1-1-111-1-1-11-11111-1-111-1-1111111-1-111-1-1-1-111-1-11111111-11-11111-1-1-1-11111-1-1-1-1-11-1-1-111-1-1-11-11
χ1011-11-11-11-111111111-11-1-1-111-1-1-11-11111-1-111-1-1111111-1-111-1-1-1-111-1-1111111-11-11-1-1-1-11111-1-1-1-11111-11-1-1-111-1-11-11-1
χ1111-11-11-11-111111111-11-1-1-111-1-1-11-11111-1-111-1-1111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11-1111-1-1111-11-1
χ1211-11-11-11-111111111-11-1-1-111-1-1-11-11111-1-111-1-1111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-111111-1111-1-111-11-11
χ1311-1-111-1-1111111111-1-11-1-1-1-111-1-111111-1-1-1-111111111-1-1-1-111-1-1-1-1111111111-1-111111-1-1-1-1-1-1-1-11111-1-11-1-1-1-11111-1-1
χ1411-1-111-1-1111111111-1-11-1-1-1-111-1-111111-1-1-1-111111111-1-1-1-111-1-1-1-111111111-111-1-1-1-1-111111111-1-1-1-1-1-11-1-1-1-111-1-111
χ1511-1-111-1-1111111111-1-11-1-1-1-111-1-111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1111111-11111-1-1-1-111
χ1611-1-111-1-1111111111-1-11-1-1-1-111-1-111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-111-11111-1-111-1-1
χ172222222222−1−52−1+522−1−52−1+5222222−1−52−1+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+52−1−52−1+52−1−52−1+520000002222−1−52−1−52−1+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+520000000000000
χ182222222222−1−52−1+522−1−52−1+5222222−1−52−1+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+52−1−52−1+52−1−52−1+52000000-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000
χ192222222222−1+52−1−522−1+52−1−5222222−1+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+52−1−52−1+52−1−52−1+52−1−520000002222−1+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+52−1−52−1−520000000000000
χ202222222222−1+52−1−522−1+52−1−5222222−1+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+52−1−52−1+52−1−52−1+52−1−52000000-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000
χ2122222-1222222-122-1-1-1-1-1222222-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-100000000000000000000222-1-1-1-1-1-10000
χ2222222-1222222-122-1-1-1-1-1222222-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2111100000000000000000000-2-2-21111110000
χ232222-22-2-22-222222-2-222-22222-2-2-2-2222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-222000000000000000000000000000000000000000
χ242222-22-2-22-2−1−52−1+522−1−52−1+52-2-222-2−1−52−1+52−1−52−1+521+521−52-2-22−1−52−1+521+521−521+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−521+521−52−1−52−1+520000000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1160000000000000
χ252222-22-2-22-2−1−52−1+522−1−52−1+52-2-222-2−1−52−1+52−1−52−1+521+521−52-2-22−1−52−1+521+521−521+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−521+521−52−1−52−1+520000000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1160000000000000
χ262222-22-2-22-2−1+52−1−522−1+52−1−52-2-222-2−1+52−1−52−1+52−1−521−521+52-2-22−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521+521−521+52−1+52−1−520000000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ920000000000000
χ272222-22-2-22-2−1+52−1−522−1+52−1−52-2-222-2−1+52−1−52−1+52−1−521−521+52-2-22−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521+521−521+52−1+52−1−520000000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ920000000000000
χ282222-2-1-2-22-222-12211-1-112222-2-211-1-1-1-2-2-2-2-2-222-1-11111-1-1-1-1111111-1-10033−3−3000000000000000000000003−33−33−30000
χ292222-2-1-2-22-222-12211-1-112222-2-211-1-1-1-2-2-2-2-2-222-1-11111-1-1-1-1111111-1-100−3−33300000000000000000000000−33−33−330000
χ30222-222-22-2-222222-2-22-2222-2-222-22-222-2-2-2-222-2-222-2-2-2-222-2-222-2-222-2-2000000000000000000000000000000000000000
χ31222-222-22-2-2−1−52−1+522−1−52−1+52-2-22-22−1−52−1+521+521−52−1−52−1+52-22-2−1−52−1+521+521−521+521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−520000000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1160000000000000
χ32222-222-22-2-2−1−52−1+522−1−52−1+52-2-22-22−1−52−1+521+521−52−1−52−1+52-22-2−1−52−1+521+521−521+521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−520000000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1160000000000000
χ33222-222-22-2-2−1+52−1−522−1+52−1−52-2-22-22−1+52−1−521−521+52−1+52−1−52-22-2−1+52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+520000000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ920000000000000
χ34222-222-22-2-2−1+52−1−522−1+52−1−52-2-22-22−1+52−1−521−521+52−1+52−1−52-22-2−1+52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+520000000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ920000000000000
χ35222-22-1-22-2-222-12211-11-122-2-2221-11-1-1-2-2-2-222-2-2-1-11111-1-111-1-111-1-1110033−3−3000000000000000000000003−3−33−330000
χ36222-22-1-22-2-222-12211-11-122-2-2221-11-1-1-2-2-2-222-2-2-1-11111-1-111-1-111-1-11100−3−33300000000000000000000000−333−33−30000
χ37222-2-222-2-22−1−52−1+522−1−52−1+52222-2-2−1−52−1+521+521−521+521−522-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−5200000022-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000
χ38222-2-222-2-22−1−52−1+522−1−52−1+52222-2-2−1−52−1+521+521−521+521−522-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52000000-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000
χ39222-2-222-2-22−1+52−1−522−1+52−1−52222-2-2−1+52−1−521−521+521−521+522-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+5200000022-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000
χ40222-2-222-2-22−1+52−1−522−1+52−1−52222-2-2−1+52−1−521−521+521−521+522-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+52000000-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000
χ41222-2-2-12-2-2222-122-1-1-11122-2-2-2-2-111-1-12222-2-2-2-2-1-1-1-1-1-1-1-11111-1-1111122-1-1-1-1000000000000000000002-2-2-1-111110000
χ42222-2-2-12-2-2222-122-1-1-11122-2-2-2-2-111-1-12222-2-2-2-2-1-1-1-1-1-1-1-11111-1-11111-2-2111100000000000000000000-22211-1-1-1-10000
χ4322-22222-2-2-222222-2-2-222-2-222222-2-222-2-222-2-2-2-222-2-2-2-2-2-2222222-2-2-2-2000000000000000000000000000000000000000
χ4422-22222-2-2-2−1−52−1+522−1−52−1+52-2-2-2221+521−52−1−52−1+52−1−52−1+522-2-2−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+521+521+521−521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−520000000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1160000000000000
χ4522-22222-2-2-2−1−52−1+522−1−52−1+52-2-2-2221+521−52−1−52−1+52−1−52−1+522-2-2−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+521+521+521−521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−520000000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1160000000000000
χ4622-22222-2-2-2−1+52−1−522−1+52−1−52-2-2-2221−521+52−1+52−1−52−1+52−1−522-2-2−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521−521+521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+520000000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ920000000000000
χ4722-22222-2-2-2−1+52−1−522−1+52−1−52-2-2-2221−521+52−1+52−1−52−1+52−1−522-2-2−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521−521+521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+520000000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ920000000000000
χ4822-222-12-2-2-222-122111-1-1-2-22222-111-1-1-2-222-2-2-2-2-1-1111111-1-1-1-1-1-111110033−3−300000000000000000000000−333−3−330000
χ4922-222-12-2-2-222-122111-1-1-2-22222-111-1-1-2-222-2-2-2-2-1-1111111-1-1-1-1-1-1111100−3−333000000000000000000000003−3−333−30000
χ5022-22-22-22-22−1−52−1+522−1−52−1+5222-22-21+521−52−1−52−1+521+521−52-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+521+521−520000002-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000
χ5122-22-22-22-22−1−52−1+522−1−52−1+5222-22-21+521−52−1−52−1+521+521−52-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+521+521−52000000-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000
χ5222-22-22-22-22−1+52−1−522−1+52−1−5222-22-21−521+52−1+52−1−521−521+52-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521+520000002-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000
χ5322-22-22-22-22−1+52−1−522−1+52−1−5222-22-21−521+52−1+52−1−521−521+52-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521+52000000-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000
χ5422-22-2-1-22-2222-122-1-11-11-2-222-2-21-11-1-122-2-222-2-2-1-1-1-1-1-111-1-11111-1-11122-1-1-1-100000000000000000000-22-211-1-1110000
χ5522-22-2-1-22-2222-122-1-11-11-2-222-2-21-11-1-122-2-222-2-2-1-1-1-1-1-111-1-11111-1-111-2-21111000000000000000000002-22-1-111-1-10000
χ5622-2-222-2-222−1−52−1+522−1−52−1+5222-2-221+521−521+521−52−1−52−1+52-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1+520000002-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000
χ5722-2-222-2-222−1−52−1+522−1−52−1+5222-2-221+521−521+521−52−1−52−1+52-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1+52000000-222-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000
χ5822-2-222-2-222−1+52−1−522−1+52−1−5222-2-221−521+521−521+52−1+52−1−52-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−521−521+521−521+52−1+52−1−520000002-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000
χ5922-2-222-2-222−1+52−1−522−1+52−1−5222-2-221−521+521−521+52−1+52−1−52-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−521−521+521−521+52−1+52−1−52000000-222-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000
χ6022-2-22-1-2-22222-122-1-111-1-2-2-2-22211-1-1-122-2-2-2-222-1-1-1-1-1-11111-1-11111-1-122-1-1-1-100000000000000000000-2-221111-1-10000
χ6122-2-22-1-2-22222-122-1-111-1-2-2-2-22211-1-1-122-2-2-2-222-1-1-1-1-1-11111-1-11111-1-1-2-211110000000000000000000022-2-1-1-1-1110000
χ6222-2-2-22222-222222-2-2-2-2-2-2-2-2-2-2-222222-2-222222222-2-2-2-2-2-2-2-2-2-2222222000000000000000000000000000000000000000
χ6322-2-2-22222-2−1−52−1+522−1−52−1+52-2-2-2-2-21+521−521+521−521+521−52222−1−52−1+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+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+520000000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1160000000000000
χ6422-2-2-22222-2−1−52−1+522−1−52−1+52-2-2-2-2-21+521−521+521−521+521−52222−1−52−1+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+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+520000000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1160000000000000
χ6522-2-2-22222-2−1+52−1−522−1+52−1−52-2-2-2-2-21−521+521−521+521−521+52222−1+52−1−521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−520000000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ920000000000000
χ6622-2-2-22222-2−1+52−1−522−1+52−1−52-2-2-2-2-21−521+521−521+521−521+52222−1+52−1−521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−520000000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ920000000000000
χ6722-2-2-2-1222-222-12211111-2-2-2-2-2-2-1-1-1-1-1-2-2222222-1-11111111111-1-1-1-1-1-10033−3−300000000000000000000000−33−333−30000
χ6822-2-2-2-1222-222-12211111-2-2-2-2-2-2-1-1-1-1-1-2-2222222-1-11111111111-1-1-1-1-1-100−3−333000000000000000000000003−33−3−330000
χ6944444-24444−1−5−1+5-2−1−5−1+5-2-2-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5-2-2-21+521−52−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+51+521−521+521+521−521−521+521−521+521−521+521−521+521−521+521−521+521−52000000000000000000000000000000000000000
χ7044444-24444−1+5−1−5-2−1+5−1−5-2-2-2-2-2−1+5−1−5−1+5−1−5−1+5−1−5-2-2-21−521+52−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−51−521+521−521−521+521+521−521+521−521+521−521+521−521+521−521+521−521+52000000000000000000000000000000000000000
χ714444-4-2-4-44-4−1−5−1+5-2−1−5−1+522-2-22−1−5−1+5−1−5−1+51+51−522-21+521−521+51−51+51−51+51−5−1−5−1+51+521−52−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−52000000000000000000000000000000000000000
χ724444-4-2-4-44-4−1+5−1−5-2−1+5−1−522-2-22−1+5−1−5−1+5−1−51−51+522-21−521+521−51+51−51+51−51+5−1+5−1−51−521+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+52000000000000000000000000000000000000000
χ73444-44-2-44-4-4−1−5−1+5-2−1−5−1+522-22-2−1−5−1+51+51−5−1−5−1+52-221+521−521+51−51+51−5−1−5−1+51+51−51+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+52000000000000000000000000000000000000000
χ74444-44-2-44-4-4−1+5−1−5-2−1+5−1−522-22-2−1+5−1−51−51+5−1+5−1−52-221−521+521−51+51−51+5−1+5−1−51−51+51−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−52000000000000000000000000000000000000000
χ75444-4-4-24-4-44−1−5−1+5-2−1−5−1+5-2-2-222−1−5−1+51+51−51+51−5-2221+521−52−1−5−1+5−1−5−1+51+51−51+51−51+521−521+521+521−521−521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+52000000000000000000000000000000000000000
χ76444-4-4-24-4-44−1+5−1−5-2−1+5−1−5-2-2-222−1+5−1−51−51+51−51+5-2221−521+52−1+5−1−5−1+5−1−51−51+51−51+51−521+521−521−521+521+521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−52000000000000000000000000000000000000000
χ7744-444-24-4-4-4−1−5−1+5-2−1−5−1+5222-2-21+51−5−1−5−1+5−1−5−1+5-2221+521−521+51−5−1−5−1+51+51−51+51−51+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000000000000000000000000
χ7844-444-24-4-4-4−1+5−1−5-2−1+5−1−5222-2-21−51+5−1+5−1−5−1+5−1−5-2221−521+521−51+5−1+5−1−51−51+51−51+51−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000000000000000000
χ7944-44-4-2-44-44−1−5−1+5-2−1−5−1+5-2-22-221+51−5−1−5−1+51+51−52-221+521−52−1−5−1+51+51−5−1−5−1+51+51−51+521−521+521+521−521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+52000000000000000000000000000000000000000
χ8044-44-4-2-44-44−1+5−1−5-2−1+5−1−5-2-22-221−51+5−1+5−1−51−51+52-221−521+52−1+5−1−51−51+5−1+5−1−51−51+51−521+521−521−521+521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−52000000000000000000000000000000000000000
χ8144-4-44-2-4-444−1−5−1+5-2−1−5−1+5-2-222-21+51−51+51−5−1−5−1+522-21+521−52−1−5−1+51+51−51+51−5−1−5−1+51+521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−52000000000000000000000000000000000000000
χ8244-4-44-2-4-444−1+5−1−5-2−1+5−1−5-2-222-21−51+51−51+5−1+5−1−522-21−521+52−1+5−1−51−51+51−51+5−1+5−1−51−521+521−521−521+521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+52000000000000000000000000000000000000000
χ8344-4-4-4-2444-4−1−5−1+5-2−1−5−1+5222221+51−51+51−51+51−5-2-2-21+521−521+51−5−1−5−1+5−1−5−1+5−1−5−1+51+521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−52000000000000000000000000000000000000000
χ8444-4-4-4-2444-4−1+5−1−5-2−1+5−1−5222221−51+51−51+51−51+5-2-2-21−521+521−51+5−1+5−1−5−1+5−1−5−1+5−1−51−521+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+52000000000000000000000000000000000000000
χ854-40004000044-4-4-4000000000000004400000000-4-40000000000000000−2i22i2−2i22i2−2i22i2000000000000000000000000000000000
χ864-40004000044-4-4-4000000000000004400000000-4-400000000000000002i2−2i22i2−2i22i2−2i2000000000000000000000000000000000
χ874-4000-20000442-4-423−23000000000000-2-2000000002223−2323−23000000000000−2i22i22ζ7+2ζ29+2ζ31+2ζ53+2ζ77+2ζ79+2ζ101+2ζ103−2ζ7−2ζ29−2ζ31−2ζ53−2ζ77−2ζ79−2ζ101−2ζ1032ζ13+2ζ23+2ζ37+2ζ47+2ζ61+2ζ71+2ζ109+2ζ119−2ζ13−2ζ23−2ζ37−2ζ47−2ζ61−2ζ71−2ζ109−2ζ119000000000000000000000000000000000
χ884-4000-20000442-4-423−23000000000000-2-2000000002223−2323−230000000000002i2−2i2−2ζ7−2ζ29−2ζ31−2ζ53−2ζ77−2ζ79−2ζ101−2ζ1032ζ7+2ζ29+2ζ31+2ζ53+2ζ77+2ζ79+2ζ101+2ζ103−2ζ13−2ζ23−2ζ37−2ζ47−2ζ61−2ζ71−2ζ109−2ζ1192ζ13+2ζ23+2ζ37+2ζ47+2ζ61+2ζ71+2ζ109+2ζ119000000000000000000000000000000000
χ894-4000-20000442-4-4−2323000000000000-2-20000000022−2323−2323000000000000−2i22i22ζ13+2ζ23+2ζ37+2ζ47+2ζ61+2ζ71+2ζ109+2ζ119−2ζ13−2ζ23−2ζ37−2ζ47−2ζ61−2ζ71−2ζ109−2ζ1192ζ7+2ζ29+2ζ31+2ζ53+2ζ77+2ζ79+2ζ101+2ζ103−2ζ7−2ζ29−2ζ31−2ζ53−2ζ77−2ζ79−2ζ101−2ζ103000000000000000000000000000000000
χ904-4000-20000442-4-4−2323000000000000-2-20000000022−2323−23230000000000002i2−2i2−2ζ13−2ζ23−2ζ37−2ζ47−2ζ61−2ζ71−2ζ109−2ζ1192ζ13+2ζ23+2ζ37+2ζ47+2ζ61+2ζ71+2ζ109+2ζ119−2ζ7−2ζ29−2ζ31−2ζ53−2ζ77−2ζ79−2ζ101−2ζ1032ζ7+2ζ29+2ζ31+2ζ53+2ζ77+2ζ79+2ζ101+2ζ103000000000000000000000000000000000
χ918-800080000−2−25−2+25-82+252−2500000000000000−2−25−2+25000000002+252−250000000000000000000000000000000000000000000000000000000
χ928-800080000−2+25−2−25-82−252+2500000000000000−2+25−2−25000000002−252+250000000000000000000000000000000000000000000000000000000
χ938-8000-40000−2−25−2+2542+252−2543−430000000000001+51−500000000−1−5−1+5−2ζ22+2ζ38+2ζ62−2ζ1182ζ22−2ζ38−2ζ62+2ζ1182ζ14−2ζ46+2ζ86−2ζ94−2ζ14+2ζ46−2ζ86+2ζ94000000000000000000000000000000000000000000000000000
χ948-8000-40000−2−25−2+2542+252−25−43430000000000001+51−500000000−1−5−1+52ζ22−2ζ38−2ζ62+2ζ118−2ζ22+2ζ38+2ζ62−2ζ118−2ζ14+2ζ46−2ζ86+2ζ942ζ14−2ζ46+2ζ86−2ζ94000000000000000000000000000000000000000000000000000
χ958-8000-40000−2+25−2−2542−252+2543−430000000000001−51+500000000−1+5−1−52ζ14−2ζ46+2ζ86−2ζ94−2ζ14+2ζ46−2ζ86+2ζ94−2ζ22+2ζ38+2ζ62−2ζ1182ζ22−2ζ38−2ζ62+2ζ118000000000000000000000000000000000000000000000000000
χ968-8000-40000−2+25−2−2542−252+25−43430000000000001−51+500000000−1+5−1−5−2ζ14+2ζ46−2ζ86+2ζ942ζ14−2ζ46+2ζ86−2ζ942ζ22−2ζ38−2ζ62+2ζ118−2ζ22+2ζ38+2ζ62−2ζ118000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.