K13n1917
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Polynomial invariants
| Jones polynomial | Data:K13n1917/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-15 t^2+25 t-29+25 t^{-1} -15 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1917/Conway Polynomial |
| Determinant | 123 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +2 z^6 a^{-2} -5 z^6 a^{-4} +z^6 a^{-6} +8 z^4 a^{-2} -9 z^4 a^{-4} +3 z^4 a^{-6} -z^4+11 z^2 a^{-2} -7 z^2 a^{-4} +2 z^2 a^{-6} -3 z^2+6 a^{-2} -3 a^{-4} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +3 z^{10} a^{-2} +9 z^{10} a^{-4} +6 z^{10} a^{-6} +z^9 a^{-1} -5 z^9 a^{-3} +2 z^9 a^{-5} +8 z^9 a^{-7} -15 z^8 a^{-2} -40 z^8 a^{-4} -18 z^8 a^{-6} +7 z^8 a^{-8} -2 z^7 a^{-1} -26 z^7 a^{-5} -24 z^7 a^{-7} +4 z^7 a^{-9} +39 z^6 a^{-2} +75 z^6 a^{-4} +19 z^6 a^{-6} -19 z^6 a^{-8} +z^6 a^{-10} +3 z^6+a z^5+7 z^5 a^{-1} +25 z^5 a^{-3} +50 z^5 a^{-5} +21 z^5 a^{-7} -10 z^5 a^{-9} -43 z^4 a^{-2} -55 z^4 a^{-4} -8 z^4 a^{-6} +10 z^4 a^{-8} -2 z^4 a^{-10} -8 z^4-3 a z^3-13 z^3 a^{-1} -28 z^3 a^{-3} -28 z^3 a^{-5} -7 z^3 a^{-7} +3 z^3 a^{-9} +20 z^2 a^{-2} +18 z^2 a^{-4} +3 z^2 a^{-6} -z^2 a^{-8} +6 z^2+2 a z+6 z a^{-1} +9 z a^{-3} +5 z a^{-5} -6 a^{-2} -3 a^{-4} -2 }[/math] |
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