Finite Group Databasebeta

← Group #13013727

Character table — Group #13013727

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size111122222244444444444444444444888888888888888888888888888820202020202020202020202040408080808080808080
order12222222224444510101010101010101010101010101044442020202020202020202020202020202020202020202020204444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ5111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1ii−i−iii−i−i
χ6111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1−i−iii−i−iii
χ7111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ8111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ9111111-1-1-1-111-1-11111111-1-1-1-1-1-11-1-1ii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i11-1-1-111-1i−ii−i1-1
χ10111111-1-1-1-111-1-11111111-1-1-1-1-1-11-1-1ii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i11-1-1-11-11−ii−ii-11
χ11111111-1-1-1-111-1-11111111-1-1-1-1-1-11-1-1ii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-1111-1i−i-111-1−ii
χ12111111-1-1-1-111-1-11111111-1-1-1-1-1-11-1-1ii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-1111-1−ii1-1-11i−i
χ13111111-1-1-1-111-1-11111111-1-1-1-1-1-11-1-1−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-1-1111-1i−i1-1-11−ii
χ14111111-1-1-1-111-1-11111111-1-1-1-1-1-11-1-1−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-1-1111-1−ii-111-1i−i
χ15111111-1-1-1-111-1-11111111-1-1-1-1-1-11-1-1−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii11-1-1-111-1−ii−ii1-1
χ16111111-1-1-1-111-1-11111111-1-1-1-1-1-11-1-1−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii11-1-1-11-11i−ii−i-11
χ172222222222-2-2-2-222222222222222220000-2-2-2-2-2-2-2-200000000000000000000000022-2-22-200000000
χ182222222222-2-2-2-222222222222222220000-2-2-2-2-2-2-2-2000000000000000000000000-2-222-2200000000
χ19222222-2-2-2-2-2-2222222222-2-2-2-2-2-22-2-20000-2-2-2-222220000000000000000000000002222-2-200000000
χ20222222-2-2-2-2-2-2222222222-2-2-2-2-2-22-2-20000-2-2-2-22222000000000000000000000000-2-2-2-22200000000
χ212-22-22-20000002i−2i2222-2-2-2000000-2001+i−1−i1−i−1+i00002i2i−2i−2i1+i1+i1+i1+i−1−i−1−i−1−i−1−i1−i1−i1−i1−i−1+i−1+i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i2-22i−2i0000000000
χ222-22-22-20000002i−2i2222-2-2-2000000-2001+i−1−i1−i−1+i00002i2i−2i−2i1+i1+i1+i1+i−1−i−1−i−1−i−1−i1−i1−i1−i1−i−1+i−1+i−1+i−1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i-22−2i2i0000000000
χ232-22-22-20000002i−2i2222-2-2-2000000-200−1−i1+i−1+i1−i00002i2i−2i−2i−1−i−1−i−1−i−1−i1+i1+i1+i1+i−1+i−1+i−1+i−1+i1−i1−i1−i1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i-22−2i2i0000000000
χ242-22-22-20000002i−2i2222-2-2-2000000-200−1−i1+i−1+i1−i00002i2i−2i−2i−1−i−1−i−1−i−1−i1+i1+i1+i1+i−1+i−1+i−1+i−1+i1−i1−i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i2-22i−2i0000000000
χ252-22-22-2000000−2i2i2222-2-2-2000000-2001−i−1+i1+i−1−i0000−2i−2i2i2i1−i1−i1−i1−i−1+i−1+i−1+i−1+i1+i1+i1+i1+i−1−i−1−i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i2-2−2i2i0000000000
χ262-22-22-2000000−2i2i2222-2-2-2000000-2001−i−1+i1+i−1−i0000−2i−2i2i2i1−i1−i1−i1−i−1+i−1+i−1+i−1+i1+i1+i1+i1+i−1−i−1−i−1−i−1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i-222i−2i0000000000
χ272-22-22-2000000−2i2i2222-2-2-2000000-200−1+i1−i−1−i1+i0000−2i−2i2i2i−1+i−1+i−1+i−1+i1−i1−i1−i1−i−1−i−1−i−1−i−1−i1+i1+i1+i1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i-222i−2i0000000000
χ282-22-22-2000000−2i2i2222-2-2-2000000-200−1+i1−i−1−i1+i0000−2i−2i2i2i−1+i−1+i−1+i−1+i1−i1−i1−i1−i−1−i−1−i−1−i−1−i1+i1+i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i2-2−2i2i0000000000
χ2944444444444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000
χ3044444444444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-4-4-4-4-1-1-1-1-1-1-1-111111111111111110000000000000000000000
χ314444444444-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100001111111155−5−555−5−555−5−555−5−50000000000000000000000
χ324444444444-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000011111111−5−555−5−555−5−555−5−5550000000000000000000000
χ33444444-4-4-4-444-4-4-1-1-1-1-1-1-1111111-1114i4i−4i−4i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii0000000000000000000000
χ34444444-4-4-4-444-4-4-1-1-1-1-1-1-1111111-111−4i−4i4i4i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i0000000000000000000000
χ35444444-4-4-4-4-4-444-1-1-1-1-1-1-1111111-11100001111-1-1-1-1i5i5−i5−i5i5i5−i5−i5−i5−i5i5i5−i5−i5i5i50000000000000000000000
χ36444444-4-4-4-4-4-444-1-1-1-1-1-1-1111111-11100001111-1-1-1-1−i5−i5i5i5−i5−i5i5i5i5i5−i5−i5i5i5−i5−i50000000000000000000000
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χ394444-4-44-44-40000-1-111-111-1-11111-1-1-1000055−5−55−55−5ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ180000000000000000000000
χ404444-4-44-44-40000-1-111-111-1-11111-1-1-10000−5−555−55−55−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ180000000000000000000000
χ414444-4-44-44-40000-1-111-111-1-11111-1-1-10000−5−555−55−55ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ180000000000000000000000
χ424444-4-4-44-44000044-4-44-4-4-4-444444-4-400000000000000000000000000000000000000000000000000
χ434444-4-4-44-440000-1-111-11111-1-1-1-1-111000055−5−5−55−55−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ190000000000000000000000
χ444444-4-4-44-440000-1-111-11111-1-1-1-1-111000055−5−5−55−55ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ190000000000000000000000
χ454444-4-4-44-440000-1-111-11111-1-1-1-1-1110000−5−5555−55−5ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ190000000000000000000000
χ464444-4-4-44-440000-1-111-11111-1-1-1-1-1110000−5−5555−55−5−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ190000000000000000000000
χ4744-4-40040-4000004-400400440000-4-4-400000000000000000000000000002-22-22-22-200000000000000
χ4844-4-40040-4000004-400400440000-4-4-40000000000000000000000000000-22-22-22-2200000000000000
χ4944-4-400-404000004-400400-4-40000-44400000000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000000000
χ5044-4-400-404000004-400400-4-40000-4440000000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000
χ514-44-44-40000004i−4i-1-1-1-11115−555−5−515−52+2i−2−2i2−2i−2+2ii5−i5i5−i5−i−iii−ζ3−ζ6−ζ7−ζ14−ζ3−ζ6−ζ7−ζ14−ζ2−ζ11−ζ18−ζ19−ζ2−ζ11−ζ18−ζ19ζ3+ζ6+ζ7+ζ14ζ3+ζ6+ζ7+ζ14ζ2+ζ11+ζ18+ζ19ζ2+ζ11+ζ18+ζ19ζ3−ζ6+ζ7−ζ14ζ3−ζ6+ζ7−ζ14−ζ2+ζ11−ζ18+ζ19−ζ2+ζ11−ζ18+ζ19−ζ3+ζ6−ζ7+ζ14−ζ3+ζ6−ζ7+ζ14ζ2−ζ11+ζ18−ζ19ζ2−ζ11+ζ18−ζ190000000000000000000000
χ524-44-44-40000004i−4i-1-1-1-11115−555−5−515−5−2−2i2+2i−2+2i2−2ii5−i5i5−i5−i−iiiζ3+ζ6+ζ7+ζ14ζ3+ζ6+ζ7+ζ14ζ2+ζ11+ζ18+ζ19ζ2+ζ11+ζ18+ζ19−ζ3−ζ6−ζ7−ζ14−ζ3−ζ6−ζ7−ζ14−ζ2−ζ11−ζ18−ζ19−ζ2−ζ11−ζ18−ζ19−ζ3+ζ6−ζ7+ζ14−ζ3+ζ6−ζ7+ζ14ζ2−ζ11+ζ18−ζ19ζ2−ζ11+ζ18−ζ19ζ3−ζ6+ζ7−ζ14ζ3−ζ6+ζ7−ζ14−ζ2+ζ11−ζ18+ζ19−ζ2+ζ11−ζ18+ζ190000000000000000000000
χ534-44-44-40000004i−4i-1-1-1-1111−55−5−5551−552+2i−2−2i2−2i−2+2i−i5i5−i5i5−i−iii−ζ2−ζ11−ζ18−ζ19−ζ2−ζ11−ζ18−ζ19−ζ3−ζ6−ζ7−ζ14−ζ3−ζ6−ζ7−ζ14ζ2+ζ11+ζ18+ζ19ζ2+ζ11+ζ18+ζ19ζ3+ζ6+ζ7+ζ14ζ3+ζ6+ζ7+ζ14−ζ2+ζ11−ζ18+ζ19−ζ2+ζ11−ζ18+ζ19ζ3−ζ6+ζ7−ζ14ζ3−ζ6+ζ7−ζ14ζ2−ζ11+ζ18−ζ19ζ2−ζ11+ζ18−ζ19−ζ3+ζ6−ζ7+ζ14−ζ3+ζ6−ζ7+ζ140000000000000000000000
χ544-44-44-40000004i−4i-1-1-1-1111−55−5−5551−55−2−2i2+2i−2+2i2−2i−i5i5−i5i5−i−iiiζ2+ζ11+ζ18+ζ19ζ2+ζ11+ζ18+ζ19ζ3+ζ6+ζ7+ζ14ζ3+ζ6+ζ7+ζ14−ζ2−ζ11−ζ18−ζ19−ζ2−ζ11−ζ18−ζ19−ζ3−ζ6−ζ7−ζ14−ζ3−ζ6−ζ7−ζ14ζ2−ζ11+ζ18−ζ19ζ2−ζ11+ζ18−ζ19−ζ3+ζ6−ζ7+ζ14−ζ3+ζ6−ζ7+ζ14−ζ2+ζ11−ζ18+ζ19−ζ2+ζ11−ζ18+ζ19ζ3−ζ6+ζ7−ζ14ζ3−ζ6+ζ7−ζ140000000000000000000000
χ554-44-44-4000000−4i4i-1-1-1-11115−555−5−515−52−2i−2+2i2+2i−2−2i−i5i5−i5i5ii−i−iζ3−ζ6+ζ7−ζ14ζ3−ζ6+ζ7−ζ14−ζ2+ζ11−ζ18+ζ19−ζ2+ζ11−ζ18+ζ19−ζ3+ζ6−ζ7+ζ14−ζ3+ζ6−ζ7+ζ14ζ2−ζ11+ζ18−ζ19ζ2−ζ11+ζ18−ζ19−ζ3−ζ6−ζ7−ζ14−ζ3−ζ6−ζ7−ζ14−ζ2−ζ11−ζ18−ζ19−ζ2−ζ11−ζ18−ζ19ζ3+ζ6+ζ7+ζ14ζ3+ζ6+ζ7+ζ14ζ2+ζ11+ζ18+ζ19ζ2+ζ11+ζ18+ζ190000000000000000000000
χ564-44-44-4000000−4i4i-1-1-1-11115−555−5−515−5−2+2i2−2i−2−2i2+2i−i5i5−i5i5ii−i−i−ζ3+ζ6−ζ7+ζ14−ζ3+ζ6−ζ7+ζ14ζ2−ζ11+ζ18−ζ19ζ2−ζ11+ζ18−ζ19ζ3−ζ6+ζ7−ζ14ζ3−ζ6+ζ7−ζ14−ζ2+ζ11−ζ18+ζ19−ζ2+ζ11−ζ18+ζ19ζ3+ζ6+ζ7+ζ14ζ3+ζ6+ζ7+ζ14ζ2+ζ11+ζ18+ζ19ζ2+ζ11+ζ18+ζ19−ζ3−ζ6−ζ7−ζ14−ζ3−ζ6−ζ7−ζ14−ζ2−ζ11−ζ18−ζ19−ζ2−ζ11−ζ18−ζ190000000000000000000000
χ574-44-44-4000000−4i4i-1-1-1-1111−55−5−5551−552−2i−2+2i2+2i−2−2ii5−i5i5−i5ii−i−i−ζ2+ζ11−ζ18+ζ19−ζ2+ζ11−ζ18+ζ19ζ3−ζ6+ζ7−ζ14ζ3−ζ6+ζ7−ζ14ζ2−ζ11+ζ18−ζ19ζ2−ζ11+ζ18−ζ19−ζ3+ζ6−ζ7+ζ14−ζ3+ζ6−ζ7+ζ14−ζ2−ζ11−ζ18−ζ19−ζ2−ζ11−ζ18−ζ19−ζ3−ζ6−ζ7−ζ14−ζ3−ζ6−ζ7−ζ14ζ2+ζ11+ζ18+ζ19ζ2+ζ11+ζ18+ζ19ζ3+ζ6+ζ7+ζ14ζ3+ζ6+ζ7+ζ140000000000000000000000
χ584-44-44-4000000−4i4i-1-1-1-1111−55−5−5551−55−2+2i2−2i−2−2i2+2ii5−i5i5−i5ii−i−iζ2−ζ11+ζ18−ζ19ζ2−ζ11+ζ18−ζ19−ζ3+ζ6−ζ7+ζ14−ζ3+ζ6−ζ7+ζ14−ζ2+ζ11−ζ18+ζ19−ζ2+ζ11−ζ18+ζ19ζ3−ζ6+ζ7−ζ14ζ3−ζ6+ζ7−ζ14ζ2+ζ11+ζ18+ζ19ζ2+ζ11+ζ18+ζ19ζ3+ζ6+ζ7+ζ14ζ3+ζ6+ζ7+ζ14−ζ2−ζ11−ζ18−ζ19−ζ2−ζ11−ζ18−ζ19−ζ3−ζ6−ζ7−ζ14−ζ3−ζ6−ζ7−ζ140000000000000000000000
χ594-44-4-4400004i−4i0044-4-4-444000000-40000004i−4i−4i4i000000000000000000000000000000000000000000
χ604-44-4-4400004i−4i00-1-1111-1-15−5−5−55515−50000−iii−ii5−i5−i5i5ζ3+ζ6−ζ7−ζ14−ζ3−ζ6+ζ7+ζ14−ζ2−ζ11+ζ18+ζ19ζ2+ζ11−ζ18−ζ19−ζ3−ζ6+ζ7+ζ14ζ3+ζ6−ζ7−ζ14ζ2+ζ11−ζ18−ζ19−ζ2−ζ11+ζ18+ζ19−ζ3+ζ6+ζ7−ζ14ζ3−ζ6−ζ7+ζ14−ζ2+ζ11+ζ18−ζ19ζ2−ζ11−ζ18+ζ19ζ3−ζ6−ζ7+ζ14−ζ3+ζ6+ζ7−ζ14ζ2−ζ11−ζ18+ζ19−ζ2+ζ11+ζ18−ζ190000000000000000000000
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χ624-44-4-4400004i−4i00-1-1111-1-1−5555−5−51−550000−iii−i−i5i5i5−i5−ζ2−ζ11+ζ18+ζ19ζ2+ζ11−ζ18−ζ19−ζ3−ζ6+ζ7+ζ14ζ3+ζ6−ζ7−ζ14ζ2+ζ11−ζ18−ζ19−ζ2−ζ11+ζ18+ζ19ζ3+ζ6−ζ7−ζ14−ζ3−ζ6+ζ7+ζ14−ζ2+ζ11+ζ18−ζ19ζ2−ζ11−ζ18+ζ19ζ3−ζ6−ζ7+ζ14−ζ3+ζ6+ζ7−ζ14ζ2−ζ11−ζ18+ζ19−ζ2+ζ11+ζ18−ζ19−ζ3+ζ6+ζ7−ζ14ζ3−ζ6−ζ7+ζ140000000000000000000000
χ634-44-4-4400004i−4i00-1-1111-1-1−5555−5−51−550000−iii−i−i5i5i5−i5ζ2+ζ11−ζ18−ζ19−ζ2−ζ11+ζ18+ζ19ζ3+ζ6−ζ7−ζ14−ζ3−ζ6+ζ7+ζ14−ζ2−ζ11+ζ18+ζ19ζ2+ζ11−ζ18−ζ19−ζ3−ζ6+ζ7+ζ14ζ3+ζ6−ζ7−ζ14ζ2−ζ11−ζ18+ζ19−ζ2+ζ11+ζ18−ζ19−ζ3+ζ6+ζ7−ζ14ζ3−ζ6−ζ7+ζ14−ζ2+ζ11+ζ18−ζ19ζ2−ζ11−ζ18+ζ19ζ3−ζ6−ζ7+ζ14−ζ3+ζ6+ζ7−ζ140000000000000000000000
χ644-44-4-440000−4i4i0044-4-4-444000000-4000000−4i4i4i−4i000000000000000000000000000000000000000000
χ654-44-4-440000−4i4i00-1-1111-1-15−5−5−55515−50000i−i−ii−i5i5i5−i5ζ3−ζ6−ζ7+ζ14−ζ3+ζ6+ζ7−ζ14ζ2−ζ11−ζ18+ζ19−ζ2+ζ11+ζ18−ζ19−ζ3+ζ6+ζ7−ζ14ζ3−ζ6−ζ7+ζ14−ζ2+ζ11+ζ18−ζ19ζ2−ζ11−ζ18+ζ19−ζ3−ζ6+ζ7+ζ14ζ3+ζ6−ζ7−ζ14ζ2+ζ11−ζ18−ζ19−ζ2−ζ11+ζ18+ζ19ζ3+ζ6−ζ7−ζ14−ζ3−ζ6+ζ7+ζ14−ζ2−ζ11+ζ18+ζ19ζ2+ζ11−ζ18−ζ190000000000000000000000
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χ674-44-4-440000−4i4i00-1-1111-1-1−5555−5−51−550000i−i−iii5−i5−i5i5−ζ2+ζ11+ζ18−ζ19ζ2−ζ11−ζ18+ζ19ζ3−ζ6−ζ7+ζ14−ζ3+ζ6+ζ7−ζ14ζ2−ζ11−ζ18+ζ19−ζ2+ζ11+ζ18−ζ19−ζ3+ζ6+ζ7−ζ14ζ3−ζ6−ζ7+ζ14−ζ2−ζ11+ζ18+ζ19ζ2+ζ11−ζ18−ζ19−ζ3−ζ6+ζ7+ζ14ζ3+ζ6−ζ7−ζ14ζ2+ζ11−ζ18−ζ19−ζ2−ζ11+ζ18+ζ19ζ3+ζ6−ζ7−ζ14−ζ3−ζ6+ζ7+ζ140000000000000000000000
χ684-44-4-440000−4i4i00-1-1111-1-1−5555−5−51−550000i−i−iii5−i5−i5i5ζ2−ζ11−ζ18+ζ19−ζ2+ζ11+ζ18−ζ19−ζ3+ζ6+ζ7−ζ14ζ3−ζ6−ζ7+ζ14−ζ2+ζ11+ζ18−ζ19ζ2−ζ11−ζ18+ζ19ζ3−ζ6−ζ7+ζ14−ζ3+ζ6+ζ7−ζ14ζ2+ζ11−ζ18−ζ19−ζ2−ζ11+ζ18+ζ19ζ3+ζ6−ζ7−ζ14−ζ3−ζ6+ζ7+ζ14−ζ2−ζ11+ζ18+ζ19ζ2+ζ11−ζ18−ζ19−ζ3−ζ6+ζ7+ζ14ζ3+ζ6−ζ7−ζ140000000000000000000000
χ694-4-4400040-400004-400-400004-44-440000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000
χ704-4-4400040-400004-400-400004-44-44000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000
χ714-4-44000-40400004-400-40000-44-4440000000000000000000000000000002-2-222-2-2200000000000000
χ724-4-44000-40400004-400-40000-44-444000000000000000000000000000000-222-2-222-200000000000000
χ7388-8-80080-800000-2225−25-225−25-2-225−25−252522200000000000000000000000000000000000000000000000000
χ7488-8-80080-800000-22−2525-2−2525-2-2−252525−2522200000000000000000000000000000000000000000000000000
χ7588-8-800-80800000-2225−25-225−2522−252525−252-2-200000000000000000000000000000000000000000000000000
χ7688-8-800-80800000-22−2525-2−25252225−25−25252-2-200000000000000000000000000000000000000000000000000
χ778-8-8800080-80000-2225−252−252525−25-22-22-2−252500000000000000000000000000000000000000000000000000
χ788-8-8800080-80000-22−2525225−25−2525-22-22-225−2500000000000000000000000000000000000000000000000000
χ798-8-88000-8080000-2225−252−2525−25252-22-2-225−2500000000000000000000000000000000000000000000000000
χ808-8-88000-8080000-22−2525225−2525−252-22-2-2−252500000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.