K13n4098
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Polynomial invariants
| Jones polynomial | Data:K13n4098/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+8 t^3-26 t^2+51 t-63+51 t^{-1} -26 t^{-2} +8 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4098/Conway Polynomial |
| Determinant | 235 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +3 z^6 a^{-2} -4 z^6 a^{-4} +z^6 a^{-6} +9 z^4 a^{-2} -7 z^4 a^{-4} +2 z^4 a^{-6} -2 z^4+9 z^2 a^{-2} -4 z^2 a^{-4} +z^2 a^{-6} -3 z^2+3 a^{-2} - a^{-6} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-3} +3 z^{11} a^{-5} +6 z^{10} a^{-2} +16 z^{10} a^{-4} +10 z^{10} a^{-6} +4 z^9 a^{-1} +9 z^9 a^{-3} +19 z^9 a^{-5} +14 z^9 a^{-7} -4 z^8 a^{-2} -20 z^8 a^{-4} -4 z^8 a^{-6} +11 z^8 a^{-8} +z^8+4 z^7 a^{-1} -10 z^7 a^{-3} -42 z^7 a^{-5} -23 z^7 a^{-7} +5 z^7 a^{-9} +13 z^6 a^{-2} +6 z^6 a^{-4} -20 z^6 a^{-6} -20 z^6 a^{-8} +z^6 a^{-10} +8 z^6+3 a z^5-7 z^5 a^{-1} -7 z^5 a^{-3} +17 z^5 a^{-5} +6 z^5 a^{-7} -8 z^5 a^{-9} -27 z^4 a^{-2} -10 z^4 a^{-4} +16 z^4 a^{-6} +10 z^4 a^{-8} -z^4 a^{-10} -12 z^4-3 a z^3-2 z^3 a^{-1} +3 z^3 a^{-3} +5 z^3 a^{-5} +6 z^3 a^{-7} +3 z^3 a^{-9} +15 z^2 a^{-2} +7 z^2 a^{-4} -3 z^2 a^{-6} -z^2 a^{-8} +6 z^2+a z+2 z a^{-1} +z a^{-3} -3 z a^{-5} -3 z a^{-7} -3 a^{-2} + a^{-6} -1 }[/math] |
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