Finite Group Databasebeta

← Group #13100188

Character table — Group #13100188

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85
size11222222244444444444444445588888888888888888888101010101010101616161616161616161620202020202040404040405050505050505050200200
order12455881010555551010101010202040404040222101010102020202020404040404040404040404881010101010101010101010101010202040404040210101010161616161616161644
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111111111-1-1
χ4111111111111111111111111111-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−ii−i
χ61111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−ii
χ71111111111111111111111111-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111iiii−i−i−i−i−ii
χ81111111111111111111111111-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111−i−i−i−iiiiii−i
χ922222-2-222222222222222-2-2-2-2220000022222-2-2-2-2-2-2-2-2-2-22-2-22222000000000022-2-2-2-2000000000000000
χ1022222-2-222222222222222-2-2-2-2-2-20000022222-2-2-2-2-2-2-2-2-2-2-222-2-2-2-20000000000-2-22222000000000000000
χ11222−1+52−1−5222−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222−1+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+52−1−52−1−522−1+52−1+52−1−52−1−520000000000
χ12222−1+52−1−5222−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-21−521−521+521+522−1+52−1+52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222−1+52−1+52−1−52−1−52-2-21−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-21−521−521+521+520000000000
χ13222−1+52−1−5222−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-22−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-21−521−521+521+5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+521−521−521+521+52-21−521−521+521+520000000000
χ14222−1+52−1−5222−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-21−521−521+521+522−1+52−1+52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-21−521−521+521+52-2-21−521−521−521−521+521+521+521+521−521+521−521−521+521+522−1+52−1+52−1−52−1−520000000000
χ15222−1+52−1−52-2-2−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52220ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ722−1+52−1+52−1−52−1−52-2-21−521−521−521−521+521+521+521+522-2-2−1+52−1+52−1−52−1−5200ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72−1+52−1−521−521−521+521+520ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ720000000000
χ16222−1+52−1−52-2-2−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52220−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ722−1+52−1+52−1−52−1−52-2-21−521−521−521−521+521+521+521+522-2-2−1+52−1+52−1−52−1−5200−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72−1+52−1−521−521−521+521+520−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ720000000000
χ17222−1+52−1−52-2-2−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52-2-20ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ722−1+52−1+52−1−52−1−52-2-21−521−521−521−521+521+521+521+52-2221−521−521+521+5200ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ721−521+52−1+52−1+52−1−52−1−520−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ720000000000
χ18222−1+52−1−52-2-2−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52-2-20−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ722−1+52−1+52−1−52−1−52-2-21−521−521−521−521+521+521+521+52-2221−521−521+521+5200−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ721−521+52−1+52−1+52−1−52−1−520ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ720000000000
χ19222−1−52−1+5222−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222−1−52−1−52−1+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+522−1−52−1−52−1+52−1+520000000000
χ20222−1−52−1+5222−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-21+521+521−521−522−1−52−1−52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222−1−52−1−52−1+52−1+52-2-21+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-21+521+521−521−520000000000
χ21222−1−52−1+5222−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-22−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-21+521+521−521−5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−521+521+521−521−52-21+521+521−521−520000000000
χ22222−1−52−1+5222−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-21+521+521−521−522−1−52−1−52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-21+521+521−521−52-2-21+521+521+521+521−521−521−521−521+521−521+521+521−521−522−1−52−1−52−1+52−1+520000000000
χ23222−1−52−1+52-2-2−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52220−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ562−1−52−1−52−1+52−1+52-2-21+521+521+521+521−521−521−521−522-2-2−1−52−1−52−1+52−1+5200−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56−1−52−1+521+521+521−521−520−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ560000000000
χ24222−1−52−1+52-2-2−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52220ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ562−1−52−1−52−1+52−1+52-2-21+521+521+521+521−521−521−521−522-2-2−1−52−1−52−1+52−1+5200ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56−1−52−1+521+521+521−521−520ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ560000000000
χ25222−1−52−1+52-2-2−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52-2-20−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ562−1−52−1−52−1+52−1+52-2-21+521+521+521+521−521−521−521−52-2221+521+521−521−5200−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ561+521−52−1−52−1−52−1+52−1+520ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ560000000000
χ26222−1−52−1+52-2-2−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52-2-20ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ562−1−52−1−52−1+52−1+52-2-21+521+521+521+521−521−521−521−52-2221+521+521−521−5200ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ561+521−52−1−52−1−52−1+52−1+520−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ560000000000
χ2722-22200222222222222-2-200002200000-2-2-2-2-20000000000-20022220000000000-2-200000000022−2−222−2−200
χ2822-22200222222222222-2-200002200000-2-2-2-2-20000000000-20022220000000000-2-2000000000−2−222−2−22200
χ2922-22200222222222222-2-20000-2-200000-2-2-2-2-20000000000200-2-2-2-2000000000022000000000i2i2−i2−i2−i2−i2i2i200
χ3022-22200222222222222-2-20000-2-200000-2-2-2-2-20000000000200-2-2-2-2000000000022000000000−i2−i2i2i2i2i2−i2−i200
χ312-20222−2-2-222222-2-2-2-2-2002−22−22-200000000002−222−2−222−2−202−22-22-20000000000002−22−200000−ζ9−ζ31−ζ41−ζ47−ζ57−ζ63−ζ73−ζ79ζ9+ζ31+ζ41+ζ47+ζ57+ζ63+ζ73+ζ79−ζ11−ζ13−ζ27−ζ29−ζ43−ζ59−ζ61−ζ77ζ11+ζ13+ζ27+ζ29+ζ43+ζ59+ζ61+ζ77−ζ9−ζ31−ζ41−ζ47−ζ57−ζ63−ζ73−ζ79ζ9+ζ31+ζ41+ζ47+ζ57+ζ63+ζ73+ζ79−ζ11−ζ13−ζ27−ζ29−ζ43−ζ59−ζ61−ζ77ζ11+ζ13+ζ27+ζ29+ζ43+ζ59+ζ61+ζ7700
χ322-20222−2-2-222222-2-2-2-2-2002−22−22-200000000002−222−2−222−2−202−22-22-20000000000002−22−200000ζ9+ζ31+ζ41+ζ47+ζ57+ζ63+ζ73+ζ79−ζ9−ζ31−ζ41−ζ47−ζ57−ζ63−ζ73−ζ79ζ11+ζ13+ζ27+ζ29+ζ43+ζ59+ζ61+ζ77−ζ11−ζ13−ζ27−ζ29−ζ43−ζ59−ζ61−ζ77ζ9+ζ31+ζ41+ζ47+ζ57+ζ63+ζ73+ζ79−ζ9−ζ31−ζ41−ζ47−ζ57−ζ63−ζ73−ζ79ζ11+ζ13+ζ27+ζ29+ζ43+ζ59+ζ61+ζ77−ζ11−ζ13−ζ27−ζ29−ζ43−ζ59−ζ61−ζ7700
χ332-20222−2-2-222222-2-2-2-2-2002−22−2-2200000000002−222−2−222−2−20−22-22-22000000000000−22−2200000−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ7900
χ342-20222−2-2-222222-2-2-2-2-2002−22−2-2200000000002−222−2−222−2−20−22-22-22000000000000−22−2200000ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ7900
χ352-2022−22-2-222222-2-2-2-2-200−22−222-20000000000−22−2−222−2−2220−222-22-2000000000000−22−2200000−ζ11−ζ13−ζ27−ζ29−ζ43−ζ59−ζ61−ζ77ζ11+ζ13+ζ27+ζ29+ζ43+ζ59+ζ61+ζ77ζ9+ζ31+ζ41+ζ47+ζ57+ζ63+ζ73+ζ79−ζ9−ζ31−ζ41−ζ47−ζ57−ζ63−ζ73−ζ79−ζ11−ζ13−ζ27−ζ29−ζ43−ζ59−ζ61−ζ77ζ11+ζ13+ζ27+ζ29+ζ43+ζ59+ζ61+ζ77ζ9+ζ31+ζ41+ζ47+ζ57+ζ63+ζ73+ζ79−ζ9−ζ31−ζ41−ζ47−ζ57−ζ63−ζ73−ζ7900
χ362-2022−22-2-222222-2-2-2-2-200−22−222-20000000000−22−2−222−2−2220−222-22-2000000000000−22−2200000ζ11+ζ13+ζ27+ζ29+ζ43+ζ59+ζ61+ζ77−ζ11−ζ13−ζ27−ζ29−ζ43−ζ59−ζ61−ζ77−ζ9−ζ31−ζ41−ζ47−ζ57−ζ63−ζ73−ζ79ζ9+ζ31+ζ41+ζ47+ζ57+ζ63+ζ73+ζ79ζ11+ζ13+ζ27+ζ29+ζ43+ζ59+ζ61+ζ77−ζ11−ζ13−ζ27−ζ29−ζ43−ζ59−ζ61−ζ77−ζ9−ζ31−ζ41−ζ47−ζ57−ζ63−ζ73−ζ79ζ9+ζ31+ζ41+ζ47+ζ57+ζ63+ζ73+ζ7900
χ372-2022−22-2-222222-2-2-2-2-200−22−22-220000000000−22−2−222−2−22202−2-22-220000000000002−22−200000ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ7700
χ382-2022−22-2-222222-2-2-2-2-200−22−22-220000000000−22−2−222−2−22202−2-22-220000000000002−22−200000−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ7700
χ39444444444-1-1-1-1-1-1-1-1-1-14444440044444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000-1-1-1-1-1-1-1-1-1-1000000000000000000000
χ40444444444-1-1-1-1-1-1-1-1-1-144444400-4-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000001111111111000000000000000000000
χ4144444-4-444-1-1-1-1-1-1-1-1-1-144-4-4-4-40000000-1-1-1-1-1111111111100000005−55−55−55−55−5000000000000000000000
χ4244444-4-444-1-1-1-1-1-1-1-1-1-144-4-4-4-40000000-1-1-1-1-111111111110000000−55−55−55−55−55000000000000000000000
χ43444−1+5−1−544−1+5−1−5-1−ζ8+ζ56+ζ72ζ8+ζ24−ζ72ζ24−ζ56+ζ72ζ8−ζ24+ζ56-1−ζ8+ζ56+ζ72ζ8+ζ24−ζ72ζ24−ζ56+ζ72ζ8−ζ24+ζ56−1+5−1−5−1+5−1+5−1−5−1−5004−1+5−1+5−1−5−1−5-1−ζ8+ζ56+ζ72ζ8+ζ24−ζ72ζ24−ζ56+ζ72ζ8−ζ24+ζ56-1-1−ζ8+ζ56+ζ72ζ8+ζ24−ζ72−ζ8+ζ56+ζ72ζ8+ζ24−ζ72ζ24−ζ56+ζ72ζ8−ζ24+ζ56ζ24−ζ56+ζ72ζ8−ζ24+ζ560000000-1-1−ζ8+ζ56+ζ72ζ8+ζ24−ζ72ζ8+ζ24−ζ72−ζ8+ζ56+ζ72ζ24−ζ56+ζ72ζ8−ζ24+ζ56ζ8−ζ24+ζ56ζ24−ζ56+ζ72000000000000000000000
χ44444−1+5−1−544−1+5−1−5-1−ζ8+ζ56+ζ72ζ8+ζ24−ζ72ζ24−ζ56+ζ72ζ8−ζ24+ζ56-1−ζ8+ζ56+ζ72ζ8+ζ24−ζ72ζ24−ζ56+ζ72ζ8−ζ24+ζ56−1+5−1−5−1+5−1+5−1−5−1−500-41−51−51+51+5-1−ζ8+ζ56+ζ72ζ8+ζ24−ζ72ζ24−ζ56+ζ72ζ8−ζ24+ζ56-1-1−ζ8+ζ56+ζ72ζ8+ζ24−ζ72−ζ8+ζ56+ζ72ζ8+ζ24−ζ72ζ24−ζ56+ζ72ζ8−ζ24+ζ56ζ24−ζ56+ζ72ζ8−ζ24+ζ56000000011ζ8−ζ56−ζ72−ζ8−ζ24+ζ72−ζ8−ζ24+ζ72ζ8−ζ56−ζ72−ζ24+ζ56−ζ72−ζ8+ζ24−ζ56−ζ8+ζ24−ζ56−ζ24+ζ56−ζ72000000000000000000000
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χ768-808842−42-8-8-2-2-2-2-2222220042−4242−42000000000000−22−2−222−2−22200000000000000000000000000000000000000
χ778-8088−4242-8-8-2-2-2-2-22222200−4242−42420000000000002−222−2−222−2−200000000000000000000000000000000000000
χ788-80−2+25−2−2542−422−252+25-2−2ζ8+2ζ56+2ζ722ζ8+2ζ24−2ζ722ζ24−2ζ56+2ζ722ζ8−2ζ24+2ζ5622ζ8−2ζ56−2ζ72−2ζ8−2ζ24+2ζ72−2ζ24+2ζ56−2ζ72−2ζ8+2ζ24−2ζ5600−2ζ14+2ζ26−2ζ46+2ζ742ζ14−2ζ26+2ζ46−2ζ742ζ42+2ζ58−2ζ62−2ζ78−2ζ42−2ζ58+2ζ62+2ζ78000000000000−22−ζ26−ζ42+ζ46+ζ58+ζ62−ζ78ζ14+ζ42−ζ58−ζ62−ζ74+ζ78ζ26+ζ42−ζ46−ζ58−ζ62+ζ78−ζ14−ζ42+ζ58+ζ62+ζ74−ζ78ζ14+ζ26−ζ42−ζ46+ζ62−ζ74−ζ14−ζ26+ζ46−ζ58+ζ74+ζ78−ζ14−ζ26+ζ42+ζ46−ζ62+ζ74ζ14+ζ26−ζ46+ζ58−ζ74−ζ7800000000000000000000000000000000000000
χ798-80−2+25−2−2542−422−252+25-22ζ8+2ζ24−2ζ72−2ζ8+2ζ56+2ζ722ζ8−2ζ24+2ζ562ζ24−2ζ56+2ζ722−2ζ8−2ζ24+2ζ722ζ8−2ζ56−2ζ72−2ζ8+2ζ24−2ζ56−2ζ24+2ζ56−2ζ7200−2ζ14+2ζ26−2ζ46+2ζ742ζ14−2ζ26+2ζ46−2ζ742ζ42+2ζ58−2ζ62−2ζ78−2ζ42−2ζ58+2ζ62+2ζ78000000000000−22ζ14+ζ42−ζ58−ζ62−ζ74+ζ78−ζ26−ζ42+ζ46+ζ58+ζ62−ζ78−ζ14−ζ42+ζ58+ζ62+ζ74−ζ78ζ26+ζ42−ζ46−ζ58−ζ62+ζ78−ζ14−ζ26+ζ46−ζ58+ζ74+ζ78ζ14+ζ26−ζ42−ζ46+ζ62−ζ74ζ14+ζ26−ζ46+ζ58−ζ74−ζ78−ζ14−ζ26+ζ42+ζ46−ζ62+ζ7400000000000000000000000000000000000000
χ808-80−2+25−2−25−42422−252+25-2−2ζ8+2ζ56+2ζ722ζ8+2ζ24−2ζ722ζ24−2ζ56+2ζ722ζ8−2ζ24+2ζ5622ζ8−2ζ56−2ζ72−2ζ8−2ζ24+2ζ72−2ζ24+2ζ56−2ζ72−2ζ8+2ζ24−2ζ56002ζ14−2ζ26+2ζ46−2ζ74−2ζ14+2ζ26−2ζ46+2ζ74−2ζ42−2ζ58+2ζ62+2ζ782ζ42+2ζ58−2ζ62−2ζ780000000000002−2ζ26+ζ42−ζ46−ζ58−ζ62+ζ78−ζ14−ζ42+ζ58+ζ62+ζ74−ζ78−ζ26−ζ42+ζ46+ζ58+ζ62−ζ78ζ14+ζ42−ζ58−ζ62−ζ74+ζ78−ζ14−ζ26+ζ42+ζ46−ζ62+ζ74ζ14+ζ26−ζ46+ζ58−ζ74−ζ78ζ14+ζ26−ζ42−ζ46+ζ62−ζ74−ζ14−ζ26+ζ46−ζ58+ζ74+ζ7800000000000000000000000000000000000000
χ818-80−2+25−2−25−42422−252+25-22ζ8+2ζ24−2ζ72−2ζ8+2ζ56+2ζ722ζ8−2ζ24+2ζ562ζ24−2ζ56+2ζ722−2ζ8−2ζ24+2ζ722ζ8−2ζ56−2ζ72−2ζ8+2ζ24−2ζ56−2ζ24+2ζ56−2ζ72002ζ14−2ζ26+2ζ46−2ζ74−2ζ14+2ζ26−2ζ46+2ζ74−2ζ42−2ζ58+2ζ62+2ζ782ζ42+2ζ58−2ζ62−2ζ780000000000002−2−ζ14−ζ42+ζ58+ζ62+ζ74−ζ78ζ26+ζ42−ζ46−ζ58−ζ62+ζ78ζ14+ζ42−ζ58−ζ62−ζ74+ζ78−ζ26−ζ42+ζ46+ζ58+ζ62−ζ78ζ14+ζ26−ζ46+ζ58−ζ74−ζ78−ζ14−ζ26+ζ42+ζ46−ζ62+ζ74−ζ14−ζ26+ζ46−ζ58+ζ74+ζ78ζ14+ζ26−ζ42−ζ46+ζ62−ζ7400000000000000000000000000000000000000
χ828-80−2−25−2+2542−422+252−25-22ζ24−2ζ56+2ζ722ζ8−2ζ24+2ζ562ζ8+2ζ24−2ζ72−2ζ8+2ζ56+2ζ722−2ζ24+2ζ56−2ζ72−2ζ8+2ζ24−2ζ56−2ζ8−2ζ24+2ζ722ζ8−2ζ56−2ζ72002ζ42+2ζ58−2ζ62−2ζ78−2ζ42−2ζ58+2ζ62+2ζ78−2ζ14+2ζ26−2ζ46+2ζ742ζ14−2ζ26+2ζ46−2ζ74000000000000−22ζ14+ζ26−ζ42−ζ46+ζ62−ζ74−ζ14−ζ26+ζ46−ζ58+ζ74+ζ78−ζ14−ζ26+ζ42+ζ46−ζ62+ζ74ζ14+ζ26−ζ46+ζ58−ζ74−ζ78ζ14+ζ42−ζ58−ζ62−ζ74+ζ78−ζ26−ζ42+ζ46+ζ58+ζ62−ζ78−ζ14−ζ42+ζ58+ζ62+ζ74−ζ78ζ26+ζ42−ζ46−ζ58−ζ62+ζ7800000000000000000000000000000000000000
χ838-80−2−25−2+2542−422+252−25-22ζ8−2ζ24+2ζ562ζ24−2ζ56+2ζ72−2ζ8+2ζ56+2ζ722ζ8+2ζ24−2ζ722−2ζ8+2ζ24−2ζ56−2ζ24+2ζ56−2ζ722ζ8−2ζ56−2ζ72−2ζ8−2ζ24+2ζ72002ζ42+2ζ58−2ζ62−2ζ78−2ζ42−2ζ58+2ζ62+2ζ78−2ζ14+2ζ26−2ζ46+2ζ742ζ14−2ζ26+2ζ46−2ζ74000000000000−22−ζ14−ζ26+ζ46−ζ58+ζ74+ζ78ζ14+ζ26−ζ42−ζ46+ζ62−ζ74ζ14+ζ26−ζ46+ζ58−ζ74−ζ78−ζ14−ζ26+ζ42+ζ46−ζ62+ζ74−ζ26−ζ42+ζ46+ζ58+ζ62−ζ78ζ14+ζ42−ζ58−ζ62−ζ74+ζ78ζ26+ζ42−ζ46−ζ58−ζ62+ζ78−ζ14−ζ42+ζ58+ζ62+ζ74−ζ7800000000000000000000000000000000000000
χ848-80−2−25−2+25−42422+252−25-22ζ24−2ζ56+2ζ722ζ8−2ζ24+2ζ562ζ8+2ζ24−2ζ72−2ζ8+2ζ56+2ζ722−2ζ24+2ζ56−2ζ72−2ζ8+2ζ24−2ζ56−2ζ8−2ζ24+2ζ722ζ8−2ζ56−2ζ7200−2ζ42−2ζ58+2ζ62+2ζ782ζ42+2ζ58−2ζ62−2ζ782ζ14−2ζ26+2ζ46−2ζ74−2ζ14+2ζ26−2ζ46+2ζ740000000000002−2−ζ14−ζ26+ζ42+ζ46−ζ62+ζ74ζ14+ζ26−ζ46+ζ58−ζ74−ζ78ζ14+ζ26−ζ42−ζ46+ζ62−ζ74−ζ14−ζ26+ζ46−ζ58+ζ74+ζ78−ζ14−ζ42+ζ58+ζ62+ζ74−ζ78ζ26+ζ42−ζ46−ζ58−ζ62+ζ78ζ14+ζ42−ζ58−ζ62−ζ74+ζ78−ζ26−ζ42+ζ46+ζ58+ζ62−ζ7800000000000000000000000000000000000000
χ858-80−2−25−2+25−42422+252−25-22ζ8−2ζ24+2ζ562ζ24−2ζ56+2ζ72−2ζ8+2ζ56+2ζ722ζ8+2ζ24−2ζ722−2ζ8+2ζ24−2ζ56−2ζ24+2ζ56−2ζ722ζ8−2ζ56−2ζ72−2ζ8−2ζ24+2ζ7200−2ζ42−2ζ58+2ζ62+2ζ782ζ42+2ζ58−2ζ62−2ζ782ζ14−2ζ26+2ζ46−2ζ74−2ζ14+2ζ26−2ζ46+2ζ740000000000002−2ζ14+ζ26−ζ46+ζ58−ζ74−ζ78−ζ14−ζ26+ζ42+ζ46−ζ62+ζ74−ζ14−ζ26+ζ46−ζ58+ζ74+ζ78ζ14+ζ26−ζ42−ζ46+ζ62−ζ74ζ26+ζ42−ζ46−ζ58−ζ62+ζ78−ζ14−ζ42+ζ58+ζ62+ζ74−ζ78−ζ26−ζ42+ζ46+ζ58+ζ62−ζ78ζ14+ζ42−ζ58−ζ62−ζ74+ζ7800000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 80 (ζ80 = 1); i = ζ20.