K13a795
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Polynomial invariants
| Jones polynomial | Data:K13a795/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-15 t^3+49 t^2-95 t+119-95 t^{-1} +49 t^{-2} -15 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a795/Conway Polynomial |
| Determinant | 441 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +z^8-2 a^2 z^6+2 z^6 a^{-2} -z^6 a^{-4} +2 z^6+a^4 z^4-4 a^2 z^4-z^4 a^{-4} +3 z^4+a^4 z^2-4 a^2 z^2-4 z^2 a^{-2} +z^2 a^{-4} +4 z^2+a^4-2 a^2-2 a^{-2} + a^{-4} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{12} a^{-2} +3 z^{12}+12 a z^{11}+24 z^{11} a^{-1} +12 z^{11} a^{-3} +21 a^2 z^{10}+43 z^{10} a^{-2} +19 z^{10} a^{-4} +45 z^{10}+21 a^3 z^9+22 a z^9-3 z^9 a^{-1} +11 z^9 a^{-3} +15 z^9 a^{-5} +13 a^4 z^8-24 a^2 z^8-111 z^8 a^{-2} -35 z^8 a^{-4} +6 z^8 a^{-6} -107 z^8+5 a^5 z^7-38 a^3 z^7-99 a z^7-106 z^7 a^{-1} -85 z^7 a^{-3} -34 z^7 a^{-5} +z^7 a^{-7} +a^6 z^6-21 a^4 z^6-6 a^2 z^6+71 z^6 a^{-2} +8 z^6 a^{-4} -11 z^6 a^{-6} +68 z^6-6 a^5 z^5+31 a^3 z^5+107 a z^5+131 z^5 a^{-1} +85 z^5 a^{-3} +23 z^5 a^{-5} -z^5 a^{-7} -a^6 z^4+13 a^4 z^4+22 a^2 z^4-2 z^4 a^{-2} +10 z^4 a^{-4} +5 z^4 a^{-6} +z^4+a^5 z^3-14 a^3 z^3-45 a z^3-55 z^3 a^{-1} -29 z^3 a^{-3} -4 z^3 a^{-5} -5 a^4 z^2-11 a^2 z^2-11 z^2 a^{-2} -5 z^2 a^{-4} -12 z^2+3 a^3 z+7 a z+7 z a^{-1} +3 z a^{-3} +a^4+2 a^2+2 a^{-2} + a^{-4} +3 }[/math] |
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