Finite Group Databasebeta

← Group #14315768

Character table — Group #14315768

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size112222222224444444444444444444444444888888888888888881616161616161616161616161616242424242424242424242424404040404040404048484848606060608080120120
order12234455610106881010121215152020202024243030303030304040404044244040606060601201201201201201201201201212202020206060606060606060241616808080808080808088161648484848101020204488242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1
χ6111111111111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ7111111111111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-11111-1-1-1-1
χ911-111-111111-1-11-1-11-111-1-1111111-1-1-1-1-1-1-1-1i−i-111-1-1111111-1-1-1-1i−iii−i−iiiii−i−i−i−i1-1i−iiiii−i−i−i−ii−i1-111-1-111-1-1i−ii−ii−i1-1
χ1011-111-111111-1-11-1-11-111-1-1111111-1-1-1-1-1-1-1-1i−i-111-1-1111111-1-1-1-1i−iii−i−iiiii−i−i−i−i1-1i−iiiii−i−i−i−i−ii-11-1-11111-1-1−ii−ii−ii-11
χ1111-111-111111-1-11-1-11-111-1-1111111-1-1-1-1-1-1-1-1i−i-111-1-1111111-1-1-1-1i−iii−i−iiiii−i−i−i−i-11−ii−i−i−i−iiiiii−i1-111-1-1-1-111−ii−iii−i-11
χ1211-111-111111-1-11-1-11-111-1-1111111-1-1-1-1-1-1-1-1i−i-111-1-1111111-1-1-1-1i−iii−i−iiiii−i−i−i−i-11−ii−i−i−i−iiiii−ii-11-1-111-1-111i−ii−i−ii1-1
χ1311-111-111111-1-11-1-11-111-1-1111111-1-1-1-1-1-1-1-1−ii-111-1-1111111-1-1-1-1−ii−i−iii−i−i−i−iiiii1-1−ii−i−i−i−iiiiii−i-11-1-11111-1-1i−ii−ii−i-11
χ1411-111-111111-1-11-1-11-111-1-1111111-1-1-1-1-1-1-1-1−ii-111-1-1111111-1-1-1-1−ii−i−iii−i−i−i−iiiii1-1−ii−i−i−i−iiiii−ii1-111-1-111-1-1−ii−ii−ii1-1
χ1511-111-111111-1-11-1-11-111-1-1111111-1-1-1-1-1-1-1-1−ii-111-1-1111111-1-1-1-1−ii−i−iii−i−i−i−iiiii-11i−iiiii−i−i−i−ii−i-11-1-111-1-111−ii−iii−i1-1
χ1611-111-111111-1-11-1-11-111-1-1111111-1-1-1-1-1-1-1-1−ii-111-1-1111111-1-1-1-1−ii−i−iii−i−i−i−iiiii-11i−iiiii−i−i−i−i−ii1-111-1-1-1-111i−ii−i−ii-11
χ17222222222222-2-22222222222-2-2222222-2-2-2-200-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000000000022-2-20000
χ18222222222222-2-22222222222-2-2222222-2-2-2-200-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000000000-2-2220000
χ19222222−1−52−1+522−1−52−1+52222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+5222−1−52−1+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+5200000000−1−52−1+52−1−52−1+5200000000
χ20222222−1−52−1+522−1−52−1+52222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−52000000001+521−521+521−5200000000
χ21222222−1−52−1+522−1−52−1+52222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-22−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-21+521−521+521−521+521+521−521−521+521+521−521−5222-2-21+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+5200000000
χ22222222−1−52−1+522−1−52−1+52222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-22−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-21+521−521+521−521+521+521−521−521+521+521−521−52-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−5200000000
χ23222222−1+52−1−522−1+52−1−52222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+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+52−1−52−1−5200000000−1+52−1−52−1+52−1−5200000000
χ24222222−1+52−1−522−1+52−1−52222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+52000000001−521+521−521+5200000000
χ25222222−1+52−1−522−1+52−1−52222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-22−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-21−521+521−521+521−521−521+521+521−521−521+521+5222-2-21−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−5200000000
χ26222222−1+52−1−522−1+52−1−52222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-22−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-21−521+521−521+521−521−521+521+521−521−521+521+52-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+5200000000
χ27222-12222-122-12222-1-1-1-12222-1-1-1-1-1-1-1-1222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000002222-1-1-1-100000000-1-100
χ28222-12222-122-12222-1-1-1-12222-1-1-1-1-1-1-1-1222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000-2-2-2-21111000000001100
χ29222-12222-122-12222-1-1-1-12222-1-1-1-1-1-1-1-12222-2-2-122-1-1-1-1-1-1-1-1-1-1-1-111-2-2-2-21111111100000000000022-2-2111100000000-1-100
χ30222-12222-122-12222-1-1-1-12222-1-1-1-1-1-1-1-12222-2-2-122-1-1-1-1-1-1-1-1-1-1-1-111-2-2-2-211111111000000000000-2-222-1-1-1-1000000001100
χ3122-222-222222-22-2-2-22-222-2-222-2-222-2-2-2-22222002-2-2-2-222-2-2-2-22222000000000000000000000000000000000000002i−2i−2i2i0000
χ3222-222-222222-22-2-2-22-222-2-222-2-222-2-2-2-22222002-2-2-2-222-2-2-2-2222200000000000000000000000000000000000000−2i2i2i−2i0000
χ3322-222-2−1−52−1+522−1−52−1+52-2-221+521−522-2−1−52−1+521+521−52−1−52−1+5222−1−52−1+521+521+521−521−521+521+521−521−522i−2i-2−1−52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−522i−2i−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ942-22i−2i−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ9400000000−1−52−1+521+521−5200000000
χ3422-222-2−1−52−1+522−1−52−1+52-2-221+521−522-2−1−52−1+521+521−52−1−52−1+5222−1−52−1+521+521+521−521−521+521+521−521−522i−2i-2−1−52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−522i−2i−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94-22−2i2iζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94000000001+521−52−1−52−1+5200000000
χ3522-222-2−1−52−1+522−1−52−1+52-2-221+521−522-2−1−52−1+521+521−52−1−52−1+5222−1−52−1+521+521+521−521−521+521+521−521−52−2i2i-2−1−52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−2i2iζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ942-2−2i2iζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ9400000000−1−52−1+521+521−5200000000
χ3622-222-2−1−52−1+522−1−52−1+52-2-221+521−522-2−1−52−1+521+521−52−1−52−1+5222−1−52−1+521+521+521−521−521+521+521−521−52−2i2i-2−1−52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−2i2iζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94-222i−2i−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94000000001+521−52−1−52−1+5200000000
χ3722-222-2−1+52−1−522−1+52−1−52-2-221−521+522-2−1+52−1−521−521+52−1+52−1−5222−1+52−1−521−521−521+521+521−521−521+521+522i−2i-2−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+522i−2i−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ1182-22i−2i−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ11800000000−1+52−1−521−521+5200000000
χ3822-222-2−1+52−1−522−1+52−1−52-2-221−521+522-2−1+52−1−521−521+52−1+52−1−5222−1+52−1−521−521−521+521+521−521−521+521+522i−2i-2−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+522i−2i−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118-22−2i2iζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118000000001−521+52−1+52−1−5200000000
χ3922-222-2−1+52−1−522−1+52−1−52-2-221−521+522-2−1+52−1−521−521+52−1+52−1−5222−1+52−1−521−521−521+521+521−521−521+521+52−2i2i-2−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−2i2iζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ1182-2−2i2iζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ11800000000−1+52−1−521−521+5200000000
χ4022-222-2−1+52−1−522−1+52−1−52-2-221−521+522-2−1+52−1−521−521+52−1+52−1−5222−1+52−1−521−521−521+521+521−521−521+521+52−2i2i-2−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−2i2iζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118-222i−2i−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118000000001−521+52−1+52−1−5200000000
χ4122-2-12-222-1221-22-2-2-11-1-1-2-222-1-1-1-11111-2-2-2-22i−2i12211-1-1-1-1-1-11111−ii2i2i−2i−2i−i−i−i−iiiii0000000000002i−2i2-2-1-11100000000−ii00
χ4222-2-12-222-1221-22-2-2-11-1-1-2-222-1-1-1-11111-2-2-2-22i−2i12211-1-1-1-1-1-11111−ii2i2i−2i−2i−i−i−i−iiiii000000000000−2i2i-2211-1-100000000i−i00
χ4322-2-12-222-1221-22-2-2-11-1-1-2-222-1-1-1-11111-2-2-2-2−2i2i12211-1-1-1-1-1-11111i−i−2i−2i2i2iiiii−i−i−i−i0000000000002i−2i-2211-1-100000000−ii00
χ4422-2-12-222-1221-22-2-2-11-1-1-2-222-1-1-1-11111-2-2-2-2−2i2i12211-1-1-1-1-1-11111i−i−2i−2i2i2iiiii−i−i−i−i000000000000−2i2i2-2-1-11100000000i−i00
χ45444444−1−5−1+54−1−5−1+54-4-4−1−5−1+544−1−5−1+5−1−5−1+5−1−5−1+5-4-4−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−500-41+51−5−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−50000000000000000000000000000000000000000000000
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χ898-80800−2+25−2−25-82−252+250000000−2+25−2−250000002−252+2500002ζ29−2ζ31−2ζ61−2ζ71+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+2ζ10300000000000002ζ29−2ζ31−2ζ61−2ζ71+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+2ζ1030000000000000000000000000000000000000000000000
χ908-80-400884-8-80000000-4-4000026−26440000000000000000026−2626−2600000000000000000000000000000000000000000000000000
χ918-80-400884-8-80000000-4-40000−26264400000000000000000−2626−262600000000000000000000000000000000000000000000000000
χ928-80-400−2−25−2+2542+252−2500000001+51−5000026−26−1−5−1+52ζ28−2ζ52−2ζ68+2ζ92−2ζ28+2ζ52+2ζ68−2ζ92−2ζ4+2ζ44+2ζ76−2ζ1162ζ4−2ζ44−2ζ76+2ζ1162ζ7−2ζ13−2ζ23+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+2ζ119000000000−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−ζ1190000000000000000000000000000000000000000000000
χ938-80-400−2−25−2+2542+252−2500000001+51−5000026−26−1−5−1+5−2ζ28+2ζ52+2ζ68−2ζ922ζ28−2ζ52−2ζ68+2ζ922ζ4−2ζ44−2ζ76+2ζ116−2ζ4+2ζ44+2ζ76−2ζ116−2ζ7+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+2ζ101−2ζ109−2ζ119000000000−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−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+ζ1190000000000000000000000000000000000000000000000
χ948-80-400−2−25−2+2542+252−2500000001+51−50000−2626−1−5−1+52ζ28−2ζ52−2ζ68+2ζ92−2ζ28+2ζ52+2ζ68−2ζ92−2ζ4+2ζ44+2ζ76−2ζ1162ζ4−2ζ44−2ζ76+2ζ116−2ζ7+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+2ζ101−2ζ109−2ζ119000000000ζ7+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+ζ1190000000000000000000000000000000000000000000000
χ958-80-400−2−25−2+2542+252−2500000001+51−50000−2626−1−5−1+5−2ζ28+2ζ52+2ζ68−2ζ922ζ28−2ζ52−2ζ68+2ζ922ζ4−2ζ44−2ζ76+2ζ116−2ζ4+2ζ44+2ζ76−2ζ1162ζ7−2ζ13−2ζ23+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+2ζ119000000000ζ7+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+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−ζ1190000000000000000000000000000000000000000000000
χ968-80-400−2+25−2−2542−252+2500000001−51+5000026−26−1+5−1−5−2ζ4+2ζ44+2ζ76−2ζ1162ζ4−2ζ44−2ζ76+2ζ116−2ζ28+2ζ52+2ζ68−2ζ922ζ28−2ζ52−2ζ68+2ζ922ζ29−2ζ31−2ζ61−2ζ71+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+2ζ103000000000ζ29−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+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−ζ1030000000000000000000000000000000000000000000000
χ978-80-400−2+25−2−2542−252+2500000001−51+5000026−26−1+5−1−52ζ4−2ζ44−2ζ76+2ζ116−2ζ4+2ζ44+2ζ76−2ζ1162ζ28−2ζ52−2ζ68+2ζ92−2ζ28+2ζ52+2ζ68−2ζ92−2ζ29+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+2ζ77−2ζ103000000000ζ29−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−ζ119ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ103−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ1030000000000000000000000000000000000000000000000
χ988-80-400−2+25−2−2542−252+2500000001−51+50000−2626−1+5−1−5−2ζ4+2ζ44+2ζ76−2ζ1162ζ4−2ζ44−2ζ76+2ζ116−2ζ28+2ζ52+2ζ68−2ζ922ζ28−2ζ52−2ζ68+2ζ92−2ζ29+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+2ζ77−2ζ103000000000−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−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+ζ1030000000000000000000000000000000000000000000000
χ998-80-400−2+25−2−2542−252+2500000001−51+50000−2626−1+5−1−52ζ4−2ζ44−2ζ76+2ζ116−2ζ4+2ζ44+2ζ76−2ζ1162ζ28−2ζ52−2ζ68+2ζ92−2ζ28+2ζ52+2ζ68−2ζ922ζ29−2ζ31−2ζ61−2ζ71+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+2ζ103000000000−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+ζ119−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ103ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ1030000000000000000000000000000000000000000000000

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