Finite Group Databasebeta

← Group #13149981

Character table — Group #13149981

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11222444444668812121222444888888121216162424242244488888812121616242424224448888881212161624242422444888888121216162424249918181836363636363654547272108108108
order1234644812242424121224836312612122412242461212126122491893618363672367272183636361836729189361836367236727218363636183672918936183636723672721836363618367222646448122424241212248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111-1-111-1-1-111111111111-1-111-1-1-111111111111-1-111-1-1-111111111111-1-111-1-1-111111111111-1-111-1-1-111111111111-1-111-1-1-1
χ3111111-1-11-1-1111-11-1-1111111-1-11-1-1111-11-1-1111111-1-11-1-1111-11-1-1111111-1-11-1-1111-11-1-1111111-1-11-1-1111-11-1-1111111-1-11-1-1111-11-1-1
χ4111111-1-11-1-1-1-11-1-111111111-1-11-1-1-1-11-1-111111111-1-11-1-1-1-11-1-111111111-1-11-1-1-1-11-1-111111111-1-11-1-1-1-11-1-111111111-1-11-1-1-1-11-1-111
χ511111-11-11-1-111-11-11-111111-11-11-1-111-11-11-111111-11-11-1-111-11-11-111111-11-11-1-111-11-11-111111-11-11-1-111-11-11-111111-11-11-1-111-11-11-1
χ611111-11-11-1-1-1-1-111-1111111-11-11-1-1-1-1-111-1111111-11-11-1-1-1-1-111-1111111-11-11-1-1-1-1-111-1111111-11-11-1-1-1-1-111-1111111-11-11-1-1-1-1-111-11
χ711111-1-1111111-1-1-1-1111111-1-1111111-1-1-1-1111111-1-1111111-1-1-1-1111111-1-1111111-1-1-1-1111111-1-1111111-1-1-1-1111111-1-1111111-1-1-1-11
χ811111-1-11111-1-1-1-111-111111-1-11111-1-1-1-111-111111-1-11111-1-1-1-111-111111-1-11111-1-1-1-111-111111-1-11111-1-1-1-111-111111-1-11111-1-1-1-111-1
χ9222-22000-2002-200000222-22000-2002-200000222-22000-2002-200000222-22000-2002-200000222-22000-2002-200000222-22000-2002-200000
χ10222-22000-200-2200000222-22000-200-2200000222-22000-200-2200000222-22000-200-2200000222-22000-200-2200000222-22000-200-2200000
χ1122-12-1222-1-1-100-1-100022-12-1222-1-1-100-1-100022-12-1222-1-1-100-1-100022-12-1222-1-1-100-1-100022-12-1222-1-1-100-1-100022-12-1222-1-1-100-1-1000
χ1222-12-12-2-2-11100-1100022-12-12-2-2-11100-1100022-12-12-2-2-11100-1100022-12-12-2-2-11100-1100022-12-12-2-2-11100-1100022-12-12-2-2-11100-11000
χ1322-12-1-22-2-111001-100022-12-1-22-2-111001-100022-12-1-22-2-111001-100022-12-1-22-2-111001-100022-12-1-22-2-111001-100022-12-1-22-2-111001-1000
χ1422-12-1-2-22-1-1-1001100022-12-1-2-22-1-1-1001100022-12-1-2-22-1-1-1001100022-12-1-2-22-1-1-1001100022-12-1-2-22-1-1-1001100022-12-1-2-22-1-1-10011000
χ1544-2-4-2000200000000044-2-4-2000200000000044-2-4-2000200000000044-2-4-2000200000000044-2-4-2000200000000044-2-4-20002000000000
χ164-440-400000000000004-440-400000000000004-440-400000000000004-440-400000000000004-440-400000000000004-440-40000000000000
χ174-4-2020000i6−i600000004-4-2020000i6−i600000004-4-2020000i6−i600000004-4-2020000i6−i600000004-4-2020000i6−i600000004-4-2020000i6−i60000000
χ184-4-2020000−i6i600000004-4-2020000−i6i600000004-4-2020000−i6i600000004-4-2020000−i6i600000004-4-2020000−i6i600000004-4-2020000−i6i60000000
χ19111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2011111111111-1-111-1-1-111111111111-1-111-1-1-111111111111-1-111-1-1-111111111111-1-111-1-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ21111111-1-11-1-1111-11-1-1111111-1-11-1-1111-11-1-1111111-1-11-1-1111-11-1-1111111-1-11-1-1111-11-1-1111111-1-11-1-1111-11-1-1-1-1-1-1-1-111-111-1-1-11-111
χ22111111-1-11-1-1-1-11-1-111111111-1-11-1-1-1-11-1-111111111-1-11-1-1-1-11-1-111111111-1-11-1-1-1-11-1-111111111-1-11-1-1-1-11-1-111-1-1-1-1-1-111-11111-111-1-1
χ2311111-11-11-1-111-11-11-111111-11-11-1-111-11-11-111111-11-11-1-111-11-11-111111-11-11-1-111-11-11-111111-11-11-1-111-11-11-1-1-1-1-1-11-11-111-1-11-11-11
χ2411111-11-11-1-1-1-1-111-1111111-11-11-1-1-1-1-111-1111111-11-11-1-1-1-1-111-1111111-11-11-1-1-1-1-111-1111111-11-11-1-1-1-1-111-11-1-1-1-1-11-11-111111-1-11-1
χ2511111-1-1111111-1-1-1-1111111-1-1111111-1-1-1-1111111-1-1111111-1-1-1-1111111-1-1111111-1-1-1-1111111-1-1111111-1-1-1-11-1-1-1-1-111-1-1-1-1-1-11111-1
χ2611111-1-11111-1-1-1-111-111111-1-11111-1-1-1-111-111111-1-11111-1-1-1-111-111111-1-11111-1-1-1-111-111111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-11
χ27222-22000-2002-200000222-22000-2002-200000222-22000-2002-200000222-22000-2002-200000222-22000-2002-200000-2-2-22-2000200-2200000
χ28222-22000-200-2200000222-22000-200-2200000222-22000-200-2200000222-22000-200-2200000222-22000-200-2200000-2-2-22-20002002-200000
χ2922-12-1222-1-1-100-1-100022-12-1222-1-1-100-1-100022-12-1222-1-1-100-1-100022-12-1222-1-1-100-1-100022-12-1222-1-1-100-1-1000-2-21-21-2-2-21110011000
χ3022-12-12-2-2-11100-1100022-12-12-2-2-11100-1100022-12-12-2-2-11100-1100022-12-12-2-2-11100-1100022-12-12-2-2-11100-11000-2-21-21-2221-1-1001-1000
χ3122-12-1-22-2-111001-100022-12-1-22-2-111001-100022-12-1-22-2-111001-100022-12-1-22-2-111001-100022-12-1-22-2-111001-1000-2-21-212-221-1-100-11000
χ3222-12-1-2-22-1-1-1001100022-12-1-2-22-1-1-1001100022-12-1-2-22-1-1-1001100022-12-1-2-22-1-1-1001100022-12-1-2-22-1-1-10011000-2-21-2122-211100-1-1000
χ3344-2-4-2000200000000044-2-4-2000200000000044-2-4-2000200000000044-2-4-2000200000000044-2-4-20002000000000-4-4242000-2000000000
χ344-440-400000000000004-440-400000000000004-440-400000000000004-440-400000000000004-440-40000000000000-44-4040000000000000
χ354-4-2020000i6−i600000004-4-2020000i6−i600000004-4-2020000i6−i600000004-4-2020000i6−i600000004-4-2020000i6−i60000000-4420-20000−i6i60000000
χ364-4-2020000−i6i600000004-4-2020000−i6i600000004-4-2020000−i6i600000004-4-2020000−i6i600000004-4-2020000−i6i60000000-4420-20000i6−i60000000
χ37222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ3822222222222-2-222-2-2-222222222222-2-222-2-2-2-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-1111000000000000000000
χ39222222-2-22-2-2222-22-2-2222222-2-22-2-2222-22-2-2-1-1-1-1-1-111-111-1-1-11-111-1-1-1-1-1-111-111-1-1-11-111-1-1-1-1-1-111-111-1-1-11-111000000000000000000
χ40222222-2-22-2-2-2-22-2-222222222-2-22-2-2-2-22-2-222-1-1-1-1-1-111-11111-111-1-1-1-1-1-1-1-111-11111-111-1-1-1-1-1-1-1-111-11111-111-1-1000000000000000000
χ4122222-22-22-2-222-22-22-222222-22-22-2-222-22-22-2-1-1-1-1-11-11-111-1-11-11-11-1-1-1-1-11-11-111-1-11-11-11-1-1-1-1-11-11-111-1-11-11-11000000000000000000
χ4222222-22-22-2-2-2-2-222-2222222-22-22-2-2-2-2-222-22-1-1-1-1-11-11-111111-1-11-1-1-1-1-1-11-11-111111-1-11-1-1-1-1-1-11-11-111111-1-11-1000000000000000000
χ4322222-2-2222222-2-2-2-2222222-2-2222222-2-2-2-22-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1000000000000000000
χ4422222-2-22222-2-2-2-222-222222-2-22222-2-2-2-222-2-1-1-1-1-111-1-1-1-11111-1-11-1-1-1-1-111-1-1-1-11111-1-11-1-1-1-1-111-1-1-1-11111-1-11000000000000000000
χ45444-44000-4004-400000444-44000-4004-400000-2-2-22-2000200-2200000-2-2-22-2000200-2200000-2-2-22-2000200-2200000000000000000000000
χ46444-44000-400-4400000444-44000-400-4400000-2-2-22-20002002-200000-2-2-22-20002002-200000-2-2-22-20002002-200000000000000000000000
χ4744-24-2444-2-2-200-2-200044-24-2444-2-2-200-2-2000-2-21-21-2-2-21110011000-2-21-21-2-2-21110011000-2-21-21-2-2-21110011000000000000000000000
χ4844-24-24-4-4-22200-2200044-24-24-4-4-22200-22000-2-21-21-2221-1-1001-1000-2-21-21-2221-1-1001-1000-2-21-21-2221-1-1001-1000000000000000000000
χ4944-24-2-44-4-222002-200044-24-2-44-4-222002-2000-2-21-212-221-1-100-11000-2-21-212-221-1-100-11000-2-21-212-221-1-100-11000000000000000000000
χ5044-24-2-4-44-2-2-2002200044-24-2-4-44-2-2-20022000-2-21-2122-211100-1-1000-2-21-2122-211100-1-1000-2-21-2122-211100-1-1000000000000000000000
χ5188-4-8-4000400000000088-4-8-40004000000000-4-4242000-2000000000-4-4242000-2000000000-4-4242000-2000000000000000000000000000
χ528-880-800000000000008-880-80000000000000-44-4040000000000000-44-4040000000000000-44-4040000000000000000000000000000000
χ538-8-40400002i6−2i600000008-8-40400002i6−2i60000000-4420-20000−i6i60000000-4420-20000−i6i60000000-4420-20000−i6i60000000000000000000000000
χ548-8-4040000−2i62i600000008-8-4040000−2i62i60000000-4420-20000i6−i60000000-4420-20000i6−i60000000-4420-20000i6−i60000000000000000000000000
χ55222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68000000000000000000
χ5622222222222-2-222-2-2-2-1-1-1-1-1-1-1-1-1-1-111-1-1111ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ4+ζ68ζ4+ζ68−ζ4−ζ68−ζ4−ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68000000000000000000
χ57222222-2-22-2-2222-22-2-2-1-1-1-1-1-111-111-1-1-11-111ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ4+ζ68ζ4+ζ68−ζ4−ζ68ζ4+ζ68ζ4+ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ4+ζ68−ζ4−ζ68ζ4+ζ68ζ4+ζ68000000000000000000
χ58222222-2-22-2-2-2-22-2-222-1-1-1-1-1-111-11111-111-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ4+ζ68ζ4+ζ68−ζ4−ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68−ζ4−ζ68ζ4+ζ68ζ4+ζ68−ζ4−ζ68−ζ4−ζ68000000000000000000
χ5922222-22-22-2-222-22-22-2-1-1-1-1-11-11-111-1-11-11-11ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ4+ζ68−ζ4−ζ68ζ4+ζ68−ζ4−ζ68ζ4+ζ68ζ4+ζ68−ζ4−ζ68−ζ4−ζ68ζ4+ζ68−ζ4−ζ68ζ4+ζ68−ζ4−ζ68ζ4+ζ68000000000000000000
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χ10244-24-24-4-4-22200-22000-2-21-21-2221-1-1001-1000−2ζ4−2ζ68−2ζ4−2ζ68ζ4+ζ68−2ζ4−2ζ68ζ4+ζ68−2ζ4−2ζ682ζ4+2ζ682ζ4+2ζ68ζ4+ζ68−ζ4−ζ68−ζ4−ζ6800ζ4+ζ68−ζ4−ζ680002ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−ζ4+ζ44−ζ522ζ4−2ζ44+2ζ52−ζ4+ζ44−ζ522ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ5200−ζ4+ζ44−ζ52ζ4−ζ44+ζ520002ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ68−ζ44+ζ52−ζ682ζ44−2ζ52+2ζ68−ζ44+ζ52−ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ6800−ζ44+ζ52−ζ68ζ44−ζ52+ζ68000000000000000000000
χ10344-24-2-44-4-222002-2000-2-21-212-221-1-100-11000−2ζ4−2ζ68−2ζ4−2ζ68ζ4+ζ68−2ζ4−2ζ68ζ4+ζ682ζ4+2ζ68−2ζ4−2ζ682ζ4+2ζ68ζ4+ζ68−ζ4−ζ68−ζ4−ζ6800−ζ4−ζ68ζ4+ζ680002ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−ζ4+ζ44−ζ522ζ4−2ζ44+2ζ52−ζ4+ζ44−ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ5200ζ4−ζ44+ζ52−ζ4+ζ44−ζ520002ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ68−ζ44+ζ52−ζ682ζ44−2ζ52+2ζ68−ζ44+ζ52−ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ6800ζ44−ζ52+ζ68−ζ44+ζ52−ζ68000000000000000000000
χ10444-24-2-4-44-2-2-20022000-2-21-2122-211100-1-1000−2ζ4−2ζ68−2ζ4−2ζ68ζ4+ζ68−2ζ4−2ζ68ζ4+ζ682ζ4+2ζ682ζ4+2ζ68−2ζ4−2ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ6800−ζ4−ζ68−ζ4−ζ680002ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−ζ4+ζ44−ζ522ζ4−2ζ44+2ζ52−ζ4+ζ44−ζ52−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ5200ζ4−ζ44+ζ52ζ4−ζ44+ζ520002ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ68−ζ44+ζ52−ζ682ζ44−2ζ52+2ζ68−ζ44+ζ52−ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ6800ζ44−ζ52+ζ68ζ44−ζ52+ζ68000000000000000000000
χ10588-4-8-40004000000000-4-4242000-2000000000−4ζ4−4ζ68−4ζ4−4ζ682ζ4+2ζ684ζ4+4ζ682ζ4+2ζ68000−2ζ4−2ζ680000000004ζ4−4ζ44+4ζ524ζ4−4ζ44+4ζ52−2ζ4+2ζ44−2ζ52−4ζ4+4ζ44−4ζ52−2ζ4+2ζ44−2ζ520002ζ4−2ζ44+2ζ520000000004ζ44−4ζ52+4ζ684ζ44−4ζ52+4ζ68−2ζ44+2ζ52−2ζ68−4ζ44+4ζ52−4ζ68−2ζ44+2ζ52−2ζ680002ζ44−2ζ52+2ζ68000000000000000000000000000
χ1068-880-80000000000000-44-4040000000000000−4ζ4−4ζ684ζ4+4ζ68−4ζ4−4ζ6804ζ4+4ζ6800000000000004ζ4−4ζ44+4ζ52−4ζ4+4ζ44−4ζ524ζ4−4ζ44+4ζ520−4ζ4+4ζ44−4ζ5200000000000004ζ44−4ζ52+4ζ68−4ζ44+4ζ52−4ζ684ζ44−4ζ52+4ζ680−4ζ44+4ζ52−4ζ680000000000000000000000000000000
χ1078-8-40400002i6−2i60000000-4420-20000−i6i60000000−4ζ4−4ζ684ζ4+4ζ682ζ4+2ζ680−2ζ4−2ζ680000ζ5−2ζ7+ζ13−ζ23−ζ31+2ζ53+2ζ61−2ζ71−ζ5+2ζ7−ζ13+ζ23+ζ31−2ζ53−2ζ61+2ζ7100000004ζ4−4ζ44+4ζ52−4ζ4+4ζ44−4ζ52−2ζ4+2ζ44−2ζ5202ζ4−2ζ44+2ζ520000−2ζ5+ζ7+ζ13+2ζ23−ζ31−ζ53−ζ61+ζ712ζ5−ζ7−ζ13−2ζ23+ζ31+ζ53+ζ61−ζ7100000004ζ44−4ζ52+4ζ68−4ζ44+4ζ52−4ζ68−2ζ44+2ζ52−2ζ6802ζ44−2ζ52+2ζ680000ζ5+ζ7−2ζ13−ζ23+2ζ31−ζ53−ζ61+ζ71−ζ5−ζ7+2ζ13+ζ23−2ζ31+ζ53+ζ61−ζ710000000000000000000000000
χ1088-8-4040000−2i62i60000000-4420-20000i6−i60000000−4ζ4−4ζ684ζ4+4ζ682ζ4+2ζ680−2ζ4−2ζ680000−ζ5+2ζ7−ζ13+ζ23+ζ31−2ζ53−2ζ61+2ζ71ζ5−2ζ7+ζ13−ζ23−ζ31+2ζ53+2ζ61−2ζ7100000004ζ4−4ζ44+4ζ52−4ζ4+4ζ44−4ζ52−2ζ4+2ζ44−2ζ5202ζ4−2ζ44+2ζ5200002ζ5−ζ7−ζ13−2ζ23+ζ31+ζ53+ζ61−ζ71−2ζ5+ζ7+ζ13+2ζ23−ζ31−ζ53−ζ61+ζ7100000004ζ44−4ζ52+4ζ68−4ζ44+4ζ52−4ζ68−2ζ44+2ζ52−2ζ6802ζ44−2ζ52+2ζ680000−ζ5−ζ7+2ζ13+ζ23−2ζ31+ζ53+ζ61−ζ71ζ5+ζ7−2ζ13−ζ23+2ζ31−ζ53−ζ61+ζ710000000000000000000000000

Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.