K13n1105
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Polynomial invariants
| Jones polynomial | Data:K13n1105/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-3 t^4+5 t^3-4 t^2+t+1+ t^{-1} -4 t^{-2} +5 t^{-3} -3 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n1105/Conway Polynomial |
| Determinant | 27 |
| Signature | -6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^4 a^{10}+6 z^2 a^{10}+5 a^{10}-z^8 a^8-9 z^6 a^8-28 z^4 a^8-38 z^2 a^8-19 a^8+z^{10} a^6+9 z^8 a^6+32 z^6 a^6+59 z^4 a^6+56 z^2 a^6+21 a^6-z^8 a^4-7 z^6 a^4-17 z^4 a^4-17 z^2 a^4-6 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{14}-4 z^4 a^{14}+3 z^2 a^{14}+2 z^7 a^{13}-9 z^5 a^{13}+9 z^3 a^{13}-3 z a^{13}+z^8 a^{12}-4 z^6 a^{12}+2 z^2 a^{12}-4 z^5 a^{11}+3 z^3 a^{11}-z a^{11}-4 z^6 a^{10}+z^4 a^{10}+6 z^2 a^{10}-5 a^{10}+4 z^9 a^9-30 z^7 a^9+64 z^5 a^9-61 z^3 a^9+24 z a^9+4 z^{10} a^8-26 z^8 a^8+52 z^6 a^8-58 z^4 a^8+48 z^2 a^8-19 a^8+z^{11} a^7+2 z^9 a^7-43 z^7 a^7+107 z^5 a^7-102 z^3 a^7+38 z a^7+6 z^{10} a^6-38 z^8 a^6+80 z^6 a^6-85 z^4 a^6+59 z^2 a^6-21 a^6+z^{11} a^5-z^9 a^5-22 z^7 a^5+65 z^5 a^5-64 z^3 a^5+22 z a^5+2 z^{10} a^4-13 z^8 a^4+29 z^6 a^4-30 z^4 a^4+18 z^2 a^4-6 a^4+z^9 a^3-7 z^7 a^3+17 z^5 a^3-17 z^3 a^3+6 z a^3 }[/math] |
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