K13a1034
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Polynomial invariants
| Jones polynomial | Data:K13a1034/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-6 t^4+21 t^3-49 t^2+82 t-97+82 t^{-1} -49 t^{-2} +21 t^{-3} -6 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13a1034/Conway Polynomial |
| Determinant | 415 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-2} +7 z^8 a^{-2} -2 z^8 a^{-4} -z^8+22 z^6 a^{-2} -10 z^6 a^{-4} +z^6 a^{-6} -5 z^6+36 z^4 a^{-2} -21 z^4 a^{-4} +3 z^4 a^{-6} -11 z^4+31 z^2 a^{-2} -20 z^2 a^{-4} +4 z^2 a^{-6} -11 z^2+11 a^{-2} -7 a^{-4} + a^{-6} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{12} a^{-2} +3 z^{12} a^{-4} +10 z^{11} a^{-1} +23 z^{11} a^{-3} +13 z^{11} a^{-5} +33 z^{10} a^{-2} +43 z^{10} a^{-4} +23 z^{10} a^{-6} +13 z^{10}+9 a z^9-z^9 a^{-1} -18 z^9 a^{-3} +14 z^9 a^{-5} +22 z^9 a^{-7} +4 a^2 z^8-101 z^8 a^{-2} -116 z^8 a^{-4} -34 z^8 a^{-6} +13 z^8 a^{-8} -28 z^8+a^3 z^7-21 a z^7-39 z^7 a^{-1} -53 z^7 a^{-3} -80 z^7 a^{-5} -39 z^7 a^{-7} +5 z^7 a^{-9} -10 a^2 z^6+122 z^6 a^{-2} +122 z^6 a^{-4} +17 z^6 a^{-6} -19 z^6 a^{-8} +z^6 a^{-10} +27 z^6-3 a^3 z^5+18 a z^5+55 z^5 a^{-1} +88 z^5 a^{-3} +90 z^5 a^{-5} +30 z^5 a^{-7} -6 z^5 a^{-9} +8 a^2 z^4-95 z^4 a^{-2} -84 z^4 a^{-4} -9 z^4 a^{-6} +10 z^4 a^{-8} -z^4 a^{-10} -23 z^4+3 a^3 z^3-8 a z^3-36 z^3 a^{-1} -59 z^3 a^{-3} -48 z^3 a^{-5} -12 z^3 a^{-7} +2 z^3 a^{-9} -2 a^2 z^2+47 z^2 a^{-2} +37 z^2 a^{-4} +6 z^2 a^{-6} -z^2 a^{-8} +15 z^2-a^3 z+2 a z+11 z a^{-1} +17 z a^{-3} +10 z a^{-5} +z a^{-7} -11 a^{-2} -7 a^{-4} - a^{-6} -4 }[/math] |
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