Finite Group Databasebeta

← Group #72277388

Character table — Group #72277388

Order 5760.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107
size1122224444668888888888101212121212121212121216161616182424242430303232323236363636404040404848484848484848484848484848484848606064646464646464647272727290969696969696120120160160160160180180240240240240240
order125510103366443615151515303030302282020202040404040151530302101012124433664810106666661224246060606012012012012012012012012048151515153030303020204040230303030606012126666281212122424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-11111-1-1-1-111111-1-111111111-1-1111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1-111111111-1-1-1-11-1-1
χ31111111111111111111111-11111111111111111111-1-111111111-1-1-1-111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1-11111-1-1-1-111111-1-111-1-11111-1-111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-111
χ5111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111111111111111111−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211111−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i321−1−i32−1+i32
χ6111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-11111-1-1-1-111111-1-1−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32-1-111−1−i32−1+i32111+i321−i3211+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-111+i321+i321−i321−i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11+i321−i3211+i321−i32
χ7111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-111111111111111111−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i3211111+i321−i32-1-1−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111-1−1−i32−1−i32−1+i32−1+i32111+i321−i321+i321+i321−i321−i32-1-11+i321−i32-11+i321−i32
χ8111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-11111-1-1-1-111111-1-1−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i32-1-1111+i321−i32-1-11+i321−i3211+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-11+i321+i321−i321−i32111+i321−i321+i321+i321−i321−i3211−1−i32−1+i32-1−1−i32−1+i32
χ9111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111111111111111111−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211111−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i321−1+i32−1−i32
χ10111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-11111-1-1-1-111111-1-1−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32-1-111−1+i32−1−i32111−i321+i3211−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-111−i321−i321+i321+i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11−i321+i3211−i321+i32
χ11111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-111111111111111111−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i3211111−i321+i32-1-1−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111-1−1+i32−1+i32−1−i32−1−i32111−i321+i321−i321−i321+i321+i32-1-11−i321+i32-11−i321+i32
χ12111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-11111-1-1-1-111111-1-1−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i32-1-1111−i321+i32-1-11−i321+i3211−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-11−i321−i321+i321+i32111−i321+i321−i321−i321+i321+i3211−1+i32−1−i32-1−1+i32−1−i32
χ13222222222222-1-12222222220022220000-1-1-1-12002222-1-1-1-1002222-1-100-10022220000000000-1-1-1-1-1-1-1-1000020000-1-122-1-1-1-10000-100
χ14222222222222-1-122222222-20022220000-1-1-1-120022-2-2-1-1-1-10022-2-21100-10022220000000000-1-1-1-1-1-1-1-10000-20000-1-1-2-211110000100
χ15222222−1−i3−1+i3−1−i3−1+i322-1-1−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i320022220000-1-1-1-1200−1−i3−1+i3221+i321−i321+i321−i320022−1−i3−1+i3-1-100-100−1−i3−1−i3−1+i3−1+i300000000001+i321+i321−i321−i321+i321+i321−i321−i32000020000-1-1−1−i3−1+i31+i321+i321−i321−i320000-100
χ16222222−1−i3−1+i3−1−i3−1+i322-1-1−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3-20022220000-1-1-1-1200−1−i3−1+i3-2-21+i321−i321+i321−i3200221+i31−i31100-100−1−i3−1−i3−1+i3−1+i300000000001+i321+i321−i321−i321+i321+i321−i321−i320000-20000-1-11+i31−i3−1−i32−1−i32−1+i32−1+i320000100
χ17222222−1+i3−1−i3−1+i3−1−i322-1-1−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i320022220000-1-1-1-1200−1+i3−1−i3221−i321+i321−i321+i320022−1+i3−1−i3-1-100-100−1+i3−1+i3−1−i3−1−i300000000001−i321−i321+i321+i321−i321−i321+i321+i32000020000-1-1−1+i3−1−i31−i321−i321+i321+i320000-100
χ18222222−1+i3−1−i3−1+i3−1−i322-1-1−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3-20022220000-1-1-1-1200−1+i3−1−i3-2-21−i321+i321−i321+i3200221−i31+i31100-100−1+i3−1+i3−1−i3−1−i300000000001−i321−i321+i321+i321−i321−i321+i321+i320000-20000-1-11−i31+i3−1+i32−1+i32−1−i32−1−i320000100
χ1922−1−52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52022−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+522−1−52−1+522200222222−1−52−1+52000022222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520−1−52−1+52−1−52−1+52−1−52−1+520000000000000
χ2022−1−52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+5221+521−5222002222-2-2−1−52−1+520000-2-22-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5201+521−521+521−52−1−52−1+520000000000000
χ2122−1−52−1+52−1−52−1+52−1−i3−1+i3−1−i3−1+i32222−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ76022−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+522−1−52−1+52−1−i3−1+i300−1−i3−1+i3−1−i3−1+i322−1−52−1+520000−1−i3−1+i32−1−i3−1+i3−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ68−ζ92−ζ44−ζ116−ζ44−ζ116−ζ28−ζ52−ζ28−ζ52−ζ4−ζ76−ζ4−ζ7600−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ76−1−52−1+52−1−52−1+520−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ76−1−52−1+520000000000000
χ2222−1−52−1+52−1−52−1+52−1−i3−1+i3−1−i3−1+i32222−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ760-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+5221+521−52−1−i3−1+i300−1−i3−1+i3−1−i3−1+i3-2-2−1−52−1+5200001+i31−i321+i31−i3−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ76ζ68+ζ92ζ68+ζ92ζ44+ζ116ζ44+ζ116ζ28+ζ52ζ28+ζ52ζ4+ζ76ζ4+ζ7600−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ761+521−521+521−520ζ68+ζ92ζ44+ζ116ζ28+ζ52ζ4+ζ76−1−52−1+520000000000000
χ2322−1−52−1+52−1−52−1+52−1+i3−1−i3−1+i3−1−i32222−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ116022−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+522−1−52−1+52−1+i3−1−i300−1+i3−1−i3−1+i3−1−i322−1−52−1+520000−1+i3−1−i32−1+i3−1−i3−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ28−ζ52−ζ4−ζ76−ζ4−ζ76−ζ68−ζ92−ζ68−ζ92−ζ44−ζ116−ζ44−ζ11600−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ116−1−52−1+52−1−52−1+520−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ116−1−52−1+520000000000000
χ2422−1−52−1+52−1−52−1+52−1+i3−1−i3−1+i3−1−i32222−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ1160-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+5221+521−52−1+i3−1−i300−1+i3−1−i3−1+i3−1−i3-2-2−1−52−1+5200001−i31+i321−i31+i3−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ116ζ28+ζ52ζ28+ζ52ζ4+ζ76ζ4+ζ76ζ68+ζ92ζ68+ζ92ζ44+ζ116ζ44+ζ11600−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ1161+521−521+521−520ζ28+ζ52ζ4+ζ76ζ68+ζ92ζ44+ζ116−1−52−1+520000000000000
χ2522−1+52−1−52−1+52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52022−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−522−1+52−1−522200222222−1+52−1−52000022222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520−1+52−1−52−1+52−1−52−1+52−1−520000000000000
χ2622−1+52−1−52−1+52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520-2-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−5221−521+5222002222-2-2−1+52−1−520000-2-22-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5201−521+521−521+52−1+52−1−520000000000000
χ2722−1+52−1−52−1+52−1−52−1−i3−1+i3−1−i3−1+i32222−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ52022−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−522−1+52−1−52−1−i3−1+i300−1−i3−1+i3−1−i3−1+i322−1+52−1−520000−1−i3−1+i32−1−i3−1+i3−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ44−ζ116−ζ68−ζ92−ζ68−ζ92−ζ4−ζ76−ζ4−ζ76−ζ28−ζ52−ζ28−ζ5200−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ52−1+52−1−52−1+52−1−520−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ52−1+52−1−520000000000000
χ2822−1+52−1−52−1+52−1−52−1−i3−1+i3−1−i3−1+i32222−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ520-2-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−5221−521+52−1−i3−1+i300−1−i3−1+i3−1−i3−1+i3-2-2−1+52−1−5200001+i31−i321+i31−i3−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ52ζ44+ζ116ζ44+ζ116ζ68+ζ92ζ68+ζ92ζ4+ζ76ζ4+ζ76ζ28+ζ52ζ28+ζ5200−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ521−521+521−521+520ζ44+ζ116ζ68+ζ92ζ4+ζ76ζ28+ζ52−1+52−1−520000000000000
χ2922−1+52−1−52−1+52−1−52−1+i3−1−i3−1+i3−1−i32222−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ92022−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−522−1+52−1−52−1+i3−1−i300−1+i3−1−i3−1+i3−1−i322−1+52−1−520000−1+i3−1−i32−1+i3−1−i3−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ4−ζ76−ζ28−ζ52−ζ28−ζ52−ζ44−ζ116−ζ44−ζ116−ζ68−ζ92−ζ68−ζ9200−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ92−1+52−1−52−1+52−1−520−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ92−1+52−1−520000000000000
χ3022−1+52−1−52−1+52−1−52−1+i3−1−i3−1+i3−1−i32222−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ920-2-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−5221−521+52−1+i3−1−i300−1+i3−1−i3−1+i3−1−i3-2-2−1+52−1−5200001−i31+i321−i31+i3−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ92ζ4+ζ76ζ4+ζ76ζ28+ζ52ζ28+ζ52ζ44+ζ116ζ44+ζ116ζ68+ζ92ζ68+ζ9200−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ921−521+521−521+520ζ4+ζ76ζ28+ζ52ζ44+ζ116ζ68+ζ92−1+52−1−520000000000000
χ313333330000-133300000000333-1-13333333333-133003-10000-1-1-1-1003300-1000000000000003300000000-1-1-1-1-10000-1-1000000-1-100-100
χ323333330000-1333000000003-3-3-1-133-3-3-3-33333-1-3-3003-1000011-1-1003300-100000000000000-3-3000000001111-10000-1-10000001100-100
χ333333330000-133300000000-333-1-13333333333-13300-310000-1-1-1-100-3-300-100000000000000-3-300000000-1-1-1-110000-1-10000001100100
χ343333330000-133300000000-3-3-3-1-133-3-3-3-33333-1-3-300-31000011-1-100-3-300-1000000000000003300000000111110000-1-1000000-1-100100
χ3533333333333-1003333333331-133-1-1-1-1-1-10000-111-1-1-1300001-1-1-13300110-1-1-1-1-1-1-1-1-1-1-1-1-1-11-10000000011-1-1-1111100-1-100001-1110-1-1
χ3633333333333-100333333333-1133-1-111110000-1-1-1-1-1-130000-11-1-13300-1-1011-1-1-1-111111111-1100000000-1-111-1-1-1-1-100-1-10000-11-1-1011
χ3733333333333-10033333333-31-133-1-1-1-1-1-10000-111-1-11-300001-1-1-1-3-300110-1-1-1-1-1-1-1-1-1-1-1-1-1-1-110000000011-1-11111100110000-11-1-1011
χ3833333333333-10033333333-3-1133-1-111110000-1-1-1-1-11-30000-11-1-1-3-300-1-1011-1-1-1-1111111111-100000000-1-1111-1-1-1-1001100001-1110-1-1
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χ798-888-8-82−2i32+2i3−2+2i3−2−2i300-442−2i32−2i32+2i32+2i3−2+2i3−2+2i3−2−2i3−2−2i300000000000-4-4440000000−1+i3−1−i31−i31+i3000000000000000000000000000−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3000000000000000000000000
χ808-8−2−25−2+252+252−25-4-44400-441+51−51+51−5−1−5−1+5−1−5−1+500000002ζ7−2ζ13−2ζ23+2ζ37+2ζ47−2ζ53+2ζ77−2ζ103−2ζ7+2ζ13+2ζ23−2ζ37−2ζ47+2ζ53−2ζ77+2ζ103−2ζ29+2ζ31+2ζ61+2ζ71−2ζ79+2ζ101−2ζ109−2ζ1192ζ29−2ζ31−2ζ61−2ζ71+2ζ79−2ζ101+2ζ109+2ζ1191+51−5−1−5−1+5000000022-2-200000000000000000ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ103−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ103−ζ29+ζ31+ζ61+ζ71−ζ79+ζ101−ζ109−ζ119ζ29−ζ31−ζ61−ζ71+ζ79−ζ101+ζ109+ζ119ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ103−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ103−ζ29+ζ31+ζ61+ζ71−ζ79+ζ101−ζ109−ζ119ζ29−ζ31−ζ61−ζ71+ζ79−ζ101+ζ109+ζ11900−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000000000
χ818-8−2−25−2+252+252−25-4-44400-441+51−51+51−5−1−5−1+5−1−5−1+50000000−2ζ7+2ζ13+2ζ23−2ζ37−2ζ47+2ζ53−2ζ77+2ζ1032ζ7−2ζ13−2ζ23+2ζ37+2ζ47−2ζ53+2ζ77−2ζ1032ζ29−2ζ31−2ζ61−2ζ71+2ζ79−2ζ101+2ζ109+2ζ119−2ζ29+2ζ31+2ζ61+2ζ71−2ζ79+2ζ101−2ζ109−2ζ1191+51−5−1−5−1+5000000022-2-200000000000000000−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ103ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ103ζ29−ζ31−ζ61−ζ71+ζ79−ζ101+ζ109+ζ119−ζ29+ζ31+ζ61+ζ71−ζ79+ζ101−ζ109−ζ119−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ103ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ103ζ29−ζ31−ζ61−ζ71+ζ79−ζ101+ζ109+ζ119−ζ29+ζ31+ζ61+ζ71−ζ79+ζ101−ζ109−ζ11900−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000000000
χ828-8−2−25−2+252+252−252+2i32−2i3−2−2i3−2+2i300-442ζ68+2ζ922ζ44+2ζ1162ζ28+2ζ522ζ4+2ζ76−2ζ68−2ζ92−2ζ44−2ζ116−2ζ28−2ζ52−2ζ4−2ζ7600000002ζ7−2ζ13−2ζ23+2ζ37+2ζ47−2ζ53+2ζ77−2ζ103−2ζ7+2ζ13+2ζ23−2ζ37−2ζ47+2ζ53−2ζ77+2ζ103−2ζ29+2ζ31+2ζ61+2ζ71−2ζ79+2ζ101−2ζ109−2ζ1192ζ29−2ζ31−2ζ61−2ζ71+2ζ79−2ζ101+2ζ109+2ζ1191+51−5−1−5−1+50000000−1−i3−1+i31+i31−i300000000000000000ζ23−ζ47+ζ53−ζ77−ζ23+ζ47−ζ53+ζ77ζ29−ζ71−ζ101+ζ119−ζ29+ζ71+ζ101−ζ119−ζ7+ζ13−ζ37+ζ103ζ7−ζ13+ζ37−ζ103−ζ31−ζ61+ζ79+ζ109ζ31+ζ61−ζ79−ζ10900−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ76ζ68+ζ92ζ44+ζ116ζ28+ζ52ζ4+ζ76000000000000000000000000
χ838-8−2−25−2+252+252−252+2i32−2i3−2−2i3−2+2i300-442ζ68+2ζ922ζ44+2ζ1162ζ28+2ζ522ζ4+2ζ76−2ζ68−2ζ92−2ζ44−2ζ116−2ζ28−2ζ52−2ζ4−2ζ760000000−2ζ7+2ζ13+2ζ23−2ζ37−2ζ47+2ζ53−2ζ77+2ζ1032ζ7−2ζ13−2ζ23+2ζ37+2ζ47−2ζ53+2ζ77−2ζ1032ζ29−2ζ31−2ζ61−2ζ71+2ζ79−2ζ101+2ζ109+2ζ119−2ζ29+2ζ31+2ζ61+2ζ71−2ζ79+2ζ101−2ζ109−2ζ1191+51−5−1−5−1+50000000−1−i3−1+i31+i31−i300000000000000000−ζ23+ζ47−ζ53+ζ77ζ23−ζ47+ζ53−ζ77−ζ29+ζ71+ζ101−ζ119ζ29−ζ71−ζ101+ζ119ζ7−ζ13+ζ37−ζ103−ζ7+ζ13−ζ37+ζ103ζ31+ζ61−ζ79−ζ109−ζ31−ζ61+ζ79+ζ10900−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ76ζ68+ζ92ζ44+ζ116ζ28+ζ52ζ4+ζ76000000000000000000000000
χ848-8−2−25−2+252+252−252−2i32+2i3−2+2i3−2−2i300-442ζ28+2ζ522ζ4+2ζ762ζ68+2ζ922ζ44+2ζ116−2ζ28−2ζ52−2ζ4−2ζ76−2ζ68−2ζ92−2ζ44−2ζ11600000002ζ7−2ζ13−2ζ23+2ζ37+2ζ47−2ζ53+2ζ77−2ζ103−2ζ7+2ζ13+2ζ23−2ζ37−2ζ47+2ζ53−2ζ77+2ζ103−2ζ29+2ζ31+2ζ61+2ζ71−2ζ79+2ζ101−2ζ109−2ζ1192ζ29−2ζ31−2ζ61−2ζ71+2ζ79−2ζ101+2ζ109+2ζ1191+51−5−1−5−1+50000000−1+i3−1−i31−i31+i300000000000000000−ζ7+ζ13−ζ37+ζ103ζ7−ζ13+ζ37−ζ103−ζ31−ζ61+ζ79+ζ109ζ31+ζ61−ζ79−ζ109ζ23−ζ47+ζ53−ζ77−ζ23+ζ47−ζ53+ζ77ζ29−ζ71−ζ101+ζ119−ζ29+ζ71+ζ101−ζ11900−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ116ζ28+ζ52ζ4+ζ76ζ68+ζ92ζ44+ζ116000000000000000000000000
χ858-8−2−25−2+252+252−252−2i32+2i3−2+2i3−2−2i300-442ζ28+2ζ522ζ4+2ζ762ζ68+2ζ922ζ44+2ζ116−2ζ28−2ζ52−2ζ4−2ζ76−2ζ68−2ζ92−2ζ44−2ζ1160000000−2ζ7+2ζ13+2ζ23−2ζ37−2ζ47+2ζ53−2ζ77+2ζ1032ζ7−2ζ13−2ζ23+2ζ37+2ζ47−2ζ53+2ζ77−2ζ1032ζ29−2ζ31−2ζ61−2ζ71+2ζ79−2ζ101+2ζ109+2ζ119−2ζ29+2ζ31+2ζ61+2ζ71−2ζ79+2ζ101−2ζ109−2ζ1191+51−5−1−5−1+50000000−1+i3−1−i31−i31+i300000000000000000ζ7−ζ13+ζ37−ζ103−ζ7+ζ13−ζ37+ζ103ζ31+ζ61−ζ79−ζ109−ζ31−ζ61+ζ79+ζ109−ζ23+ζ47−ζ53+ζ77ζ23−ζ47+ζ53−ζ77−ζ29+ζ71+ζ101−ζ119ζ29−ζ71−ζ101+ζ11900−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ116ζ28+ζ52ζ4+ζ76ζ68+ζ92ζ44+ζ116000000000000000000000000
χ868-8−2+25−2−252−252+25-4-44400-441−51+51−51+5−1+5−1−5−1+5−1−50000000−2ζ29+2ζ31+2ζ61+2ζ71−2ζ79+2ζ101−2ζ109−2ζ1192ζ29−2ζ31−2ζ61−2ζ71+2ζ79−2ζ101+2ζ109+2ζ119−2ζ7+2ζ13+2ζ23−2ζ37−2ζ47+2ζ53−2ζ77+2ζ1032ζ7−2ζ13−2ζ23+2ζ37+2ζ47−2ζ53+2ζ77−2ζ1031−51+5−1+5−1−5000000022-2-200000000000000000−ζ29+ζ31+ζ61+ζ71−ζ79+ζ101−ζ109−ζ119ζ29−ζ31−ζ61−ζ71+ζ79−ζ101+ζ109+ζ119−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ103ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ103−ζ29+ζ31+ζ61+ζ71−ζ79+ζ101−ζ109−ζ119ζ29−ζ31−ζ61−ζ71+ζ79−ζ101+ζ109+ζ119−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ103ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ10300−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000
χ878-8−2+25−2−252−252+25-4-44400-441−51+51−51+5−1+5−1−5−1+5−1−500000002ζ29−2ζ31−2ζ61−2ζ71+2ζ79−2ζ101+2ζ109+2ζ119−2ζ29+2ζ31+2ζ61+2ζ71−2ζ79+2ζ101−2ζ109−2ζ1192ζ7−2ζ13−2ζ23+2ζ37+2ζ47−2ζ53+2ζ77−2ζ103−2ζ7+2ζ13+2ζ23−2ζ37−2ζ47+2ζ53−2ζ77+2ζ1031−51+5−1+5−1−5000000022-2-200000000000000000ζ29−ζ31−ζ61−ζ71+ζ79−ζ101+ζ109+ζ119−ζ29+ζ31+ζ61+ζ71−ζ79+ζ101−ζ109−ζ119ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ103−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ103ζ29−ζ31−ζ61−ζ71+ζ79−ζ101+ζ109+ζ119−ζ29+ζ31+ζ61+ζ71−ζ79+ζ101−ζ109−ζ119ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ103−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ10300−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000
χ888-8−2+25−2−252−252+252+2i32−2i3−2−2i3−2+2i300-442ζ44+2ζ1162ζ68+2ζ922ζ4+2ζ762ζ28+2ζ52−2ζ44−2ζ116−2ζ68−2ζ92−2ζ4−2ζ76−2ζ28−2ζ520000000−2ζ29+2ζ31+2ζ61+2ζ71−2ζ79+2ζ101−2ζ109−2ζ1192ζ29−2ζ31−2ζ61−2ζ71+2ζ79−2ζ101+2ζ109+2ζ119−2ζ7+2ζ13+2ζ23−2ζ37−2ζ47+2ζ53−2ζ77+2ζ1032ζ7−2ζ13−2ζ23+2ζ37+2ζ47−2ζ53+2ζ77−2ζ1031−51+5−1+5−1−50000000−1−i3−1+i31+i31−i300000000000000000ζ29−ζ71−ζ101+ζ119−ζ29+ζ71+ζ101−ζ119−ζ23+ζ47−ζ53+ζ77ζ23−ζ47+ζ53−ζ77−ζ31−ζ61+ζ79+ζ109ζ31+ζ61−ζ79−ζ109ζ7−ζ13+ζ37−ζ103−ζ7+ζ13−ζ37+ζ10300−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ52ζ44+ζ116ζ68+ζ92ζ4+ζ76ζ28+ζ52000000000000000000000000
χ898-8−2+25−2−252−252+252+2i32−2i3−2−2i3−2+2i300-442ζ44+2ζ1162ζ68+2ζ922ζ4+2ζ762ζ28+2ζ52−2ζ44−2ζ116−2ζ68−2ζ92−2ζ4−2ζ76−2ζ28−2ζ5200000002ζ29−2ζ31−2ζ61−2ζ71+2ζ79−2ζ101+2ζ109+2ζ119−2ζ29+2ζ31+2ζ61+2ζ71−2ζ79+2ζ101−2ζ109−2ζ1192ζ7−2ζ13−2ζ23+2ζ37+2ζ47−2ζ53+2ζ77−2ζ103−2ζ7+2ζ13+2ζ23−2ζ37−2ζ47+2ζ53−2ζ77+2ζ1031−51+5−1+5−1−50000000−1−i3−1+i31+i31−i300000000000000000−ζ29+ζ71+ζ101−ζ119ζ29−ζ71−ζ101+ζ119ζ23−ζ47+ζ53−ζ77−ζ23+ζ47−ζ53+ζ77ζ31+ζ61−ζ79−ζ109−ζ31−ζ61+ζ79+ζ109−ζ7+ζ13−ζ37+ζ103ζ7−ζ13+ζ37−ζ10300−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ52ζ44+ζ116ζ68+ζ92ζ4+ζ76ζ28+ζ52000000000000000000000000
χ908-8−2+25−2−252−252+252−2i32+2i3−2+2i3−2−2i300-442ζ4+2ζ762ζ28+2ζ522ζ44+2ζ1162ζ68+2ζ92−2ζ4−2ζ76−2ζ28−2ζ52−2ζ44−2ζ116−2ζ68−2ζ920000000−2ζ29+2ζ31+2ζ61+2ζ71−2ζ79+2ζ101−2ζ109−2ζ1192ζ29−2ζ31−2ζ61−2ζ71+2ζ79−2ζ101+2ζ109+2ζ119−2ζ7+2ζ13+2ζ23−2ζ37−2ζ47+2ζ53−2ζ77+2ζ1032ζ7−2ζ13−2ζ23+2ζ37+2ζ47−2ζ53+2ζ77−2ζ1031−51+5−1+5−1−50000000−1+i3−1−i31−i31+i300000000000000000−ζ31−ζ61+ζ79+ζ109ζ31+ζ61−ζ79−ζ109ζ7−ζ13+ζ37−ζ103−ζ7+ζ13−ζ37+ζ103ζ29−ζ71−ζ101+ζ119−ζ29+ζ71+ζ101−ζ119−ζ23+ζ47−ζ53+ζ77ζ23−ζ47+ζ53−ζ7700−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ92ζ4+ζ76ζ28+ζ52ζ44+ζ116ζ68+ζ92000000000000000000000000
χ918-8−2+25−2−252−252+252−2i32+2i3−2+2i3−2−2i300-442ζ4+2ζ762ζ28+2ζ522ζ44+2ζ1162ζ68+2ζ92−2ζ4−2ζ76−2ζ28−2ζ52−2ζ44−2ζ116−2ζ68−2ζ9200000002ζ29−2ζ31−2ζ61−2ζ71+2ζ79−2ζ101+2ζ109+2ζ119−2ζ29+2ζ31+2ζ61+2ζ71−2ζ79+2ζ101−2ζ109−2ζ1192ζ7−2ζ13−2ζ23+2ζ37+2ζ47−2ζ53+2ζ77−2ζ103−2ζ7+2ζ13+2ζ23−2ζ37−2ζ47+2ζ53−2ζ77+2ζ1031−51+5−1+5−1−50000000−1+i3−1−i31−i31+i300000000000000000ζ31+ζ61−ζ79−ζ109−ζ31−ζ61+ζ79+ζ109−ζ7+ζ13−ζ37+ζ103ζ7−ζ13+ζ37−ζ103−ζ29+ζ71+ζ101−ζ119ζ29−ζ71−ζ101+ζ119ζ23−ζ47+ζ53−ζ77−ζ23+ζ47−ζ53+ζ7700−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ92ζ4+ζ76ζ28+ζ52ζ44+ζ116ζ68+ζ92000000000000000000000000
χ929999990000-3-3000000000093-3-3-3-3-3-3-3-3-3000013300-3-30000-11110000000000000000000003-300000000-1-1111000000000000-1100000
χ939999990000-3-300000000009-33-3-3-3-3333300001-3-300-3-300001-111000000000000000000000-330000000011-1-110000000000001-100000
χ949999990000-3-30000000000-93-3-3-3-3-3-3-3-3-3000013300330000-1111000000000000000000000-3300000000-1-111-10000000000001-100000
χ959999990000-3-30000000000-9-33-3-3-3-3333300001-3-3003300001-1110000000000000000000003-30000000011-1-1-1000000000000-1100000
χ961212−3−35−3+35−3−35−3+350000-412-6-6000000000001+51−5−3−35−3+3500003+3523−3523+3523−352-40000000000001+51−50000002000000000000000000000000000000000−1−52−1+520000000000000
χ971212−3+35−3−35−3+35−3−350000-412-6-6000000000001−51+5−3+35−3−3500003−3523+3523−3523+352-40000000000001−51+50000002000000000000000000000000000000000−1+52−1−520000000000000
χ9816-16−4−45−4+454+454−45-8-888004-42+252−252+252−25−2−25−2+25−2−25−2+2500000000000−1−5−1+51+51−50000000-2-2220000000000000000000000000001+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000000000
χ9916-16−4−45−4+454+454−454+4i34−4i3−4−4i3−4+4i3004-44ζ68+4ζ924ζ44+4ζ1164ζ28+4ζ524ζ4+4ζ76−4ζ68−4ζ92−4ζ44−4ζ116−4ζ28−4ζ52−4ζ4−4ζ7600000000000−1−5−1+51+51−500000001+i31−i3−1−i3−1+i3000000000000000000000000000ζ68+ζ92ζ44+ζ116ζ28+ζ52ζ4+ζ76−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ76000000000000000000000000
χ10016-16−4−45−4+454+454−454−4i34+4i3−4+4i3−4−4i3004-44ζ28+4ζ524ζ4+4ζ764ζ68+4ζ924ζ44+4ζ116−4ζ28−4ζ52−4ζ4−4ζ76−4ζ68−4ζ92−4ζ44−4ζ11600000000000−1−5−1+51+51−500000001−i31+i3−1+i3−1−i3000000000000000000000000000ζ28+ζ52ζ4+ζ76ζ68+ζ92ζ44+ζ116−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ116000000000000000000000000
χ10116-16−4+45−4−454−454+45-8-888004-42−252+252−252+25−2+25−2−25−2+25−2−2500000000000−1+5−1−51−51+50000000-2-2220000000000000000000000000001−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
χ10216-16−4+45−4−454−454+454+4i34−4i3−4−4i3−4+4i3004-44ζ44+4ζ1164ζ68+4ζ924ζ4+4ζ764ζ28+4ζ52−4ζ44−4ζ116−4ζ68−4ζ92−4ζ4−4ζ76−4ζ28−4ζ5200000000000−1+5−1−51−51+500000001+i31−i3−1−i3−1+i3000000000000000000000000000ζ44+ζ116ζ68+ζ92ζ4+ζ76ζ28+ζ52−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ52000000000000000000000000
χ10316-16−4+45−4−454−454+454−4i34+4i3−4+4i3−4−4i3004-44ζ4+4ζ764ζ28+4ζ524ζ44+4ζ1164ζ68+4ζ92−4ζ4−4ζ76−4ζ28−4ζ52−4ζ44−4ζ116−4ζ68−4ζ9200000000000−1+5−1−51−51+500000001−i31+i3−1+i3−1−i3000000000000000000000000000ζ4+ζ76ζ28+ζ52ζ44+ζ116ζ68+ζ92−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ92000000000000000000000000
χ1041818−9−952−9+952−9−952−9+9520000-6-6000000000006-63+3523−3523+3523−3523+3523+3523−3523−35200002−3−352−3+35200000000-22−1−52−1+5200000000000000000000000000000001+521−52−1−52−1+5200000000000000000000
χ1051818−9−952−9+952−9−952−9+9520000-6-600000000000-663+3523−3523+3523−352−3−352−3−352−3+352−3+352000023+3523−352000000002-2−1−52−1+520000000000000000000000000000000−1−52−1+521+521−5200000000000000000000
χ1061818−9+952−9−952−9+952−9−9520000-6-6000000000006-63−3523+3523−3523+3523−3523−3523+3523+35200002−3+352−3−35200000000-22−1+52−1−5200000000000000000000000000000001−521+52−1+52−1−5200000000000000000000
χ1071818−9+952−9−952−9+952−9−9520000-6-600000000000-663−3523+3523−3523+352−3+352−3+352−3−352−3−352000023−3523+352000000002-2−1+52−1−520000000000000000000000000000000−1+52−1−521−521+5200000000000000000000

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