K12n263
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^9-4 q^8+9 q^7-15 q^6+19 q^5-21 q^4+21 q^3-17 q^2+12 q-6+2 q^{-1} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-12 t^2+30 t-39+30 t^{-1} -12 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+1 }[/math] |
| Determinant | 127 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-4} -4 z^4 a^{-2} +7 z^4 a^{-4} -3 z^4 a^{-6} -8 z^2 a^{-2} +11 z^2 a^{-4} -6 z^2 a^{-6} +z^2 a^{-8} +2 z^2-4 a^{-2} +6 a^{-4} -4 a^{-6} + a^{-8} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-4} +2 z^{10} a^{-6} +6 z^9 a^{-3} +12 z^9 a^{-5} +6 z^9 a^{-7} +5 z^8 a^{-2} +11 z^8 a^{-4} +13 z^8 a^{-6} +7 z^8 a^{-8} +z^7 a^{-1} -13 z^7 a^{-3} -23 z^7 a^{-5} -5 z^7 a^{-7} +4 z^7 a^{-9} -11 z^6 a^{-2} -40 z^6 a^{-4} -45 z^6 a^{-6} -15 z^6 a^{-8} +z^6 a^{-10} +5 z^5 a^{-1} +20 z^5 a^{-3} +9 z^5 a^{-5} -15 z^5 a^{-7} -9 z^5 a^{-9} +23 z^4 a^{-2} +54 z^4 a^{-4} +44 z^4 a^{-6} +8 z^4 a^{-8} -2 z^4 a^{-10} +3 z^4-7 z^3 a^{-1} -10 z^3 a^{-3} +6 z^3 a^{-5} +15 z^3 a^{-7} +6 z^3 a^{-9} -19 z^2 a^{-2} -29 z^2 a^{-4} -20 z^2 a^{-6} -4 z^2 a^{-8} +z^2 a^{-10} -5 z^2+z a^{-1} +z a^{-3} -3 z a^{-5} -5 z a^{-7} -2 z a^{-9} +4 a^{-2} +6 a^{-4} +4 a^{-6} + a^{-8} +2 }[/math] |
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