10 135 Quantum Invariants

Further quantum knot invariants for 10_135.

A1 Invariants.

Weight	Invariant
1	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle -q^{11}+q^9-2 q^7+2 q^5+q+2 q^{-1} - q^{-3} +2 q^{-5} -2 q^{-7} }
2	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{32}-q^{30}-q^{28}+4 q^{26}-2 q^{24}-6 q^{22}+7 q^{20}+q^{18}-11 q^{16}+5 q^{14}+6 q^{12}-8 q^{10}+q^8+7 q^6-q^4-3 q^2+3+7 q^{-2} -7 q^{-4} -2 q^{-6} +11 q^{-8} -6 q^{-10} -6 q^{-12} +8 q^{-14} -2 q^{-16} -5 q^{-18} +2 q^{-20} + q^{-22} }
3	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle -q^{63}+q^{61}+q^{59}-q^{57}-3 q^{55}+2 q^{53}+7 q^{51}-q^{49}-12 q^{47}-3 q^{45}+17 q^{43}+13 q^{41}-19 q^{39}-24 q^{37}+15 q^{35}+34 q^{33}-5 q^{31}-45 q^{29}-7 q^{27}+41 q^{25}+19 q^{23}-38 q^{21}-26 q^{19}+29 q^{17}+30 q^{15}-19 q^{13}-26 q^{11}+8 q^9+27 q^7+4 q^5-21 q^3-14 q+18 q^{-1} +28 q^{-3} -12 q^{-5} -36 q^{-7} +4 q^{-9} +46 q^{-11} +4 q^{-13} -44 q^{-15} -17 q^{-17} +38 q^{-19} +22 q^{-21} -27 q^{-23} -26 q^{-25} +15 q^{-27} +19 q^{-29} -3 q^{-31} -14 q^{-33} -2 q^{-35} +8 q^{-37} +2 q^{-39} -2 q^{-43} }

A2 Invariants.

Weight	Invariant
1,0	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle -q^{16}-2 q^{10}+q^8+q^4+3 q^2+1+3 q^{-2} - q^{-4} -2 q^{-10} }
1,1	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{44}-2 q^{42}+6 q^{40}-12 q^{38}+23 q^{36}-38 q^{34}+58 q^{32}-80 q^{30}+100 q^{28}-116 q^{26}+114 q^{24}-102 q^{22}+64 q^{20}-20 q^{18}-44 q^{16}+104 q^{14}-158 q^{12}+202 q^{10}-220 q^8+228 q^6-199 q^4+170 q^2-108+54 q^{-2} +12 q^{-4} -64 q^{-6} +102 q^{-8} -124 q^{-10} +123 q^{-12} -112 q^{-14} +86 q^{-16} -64 q^{-18} +36 q^{-20} -20 q^{-22} +8 q^{-24} -2 q^{-26} +2 q^{-30} }
2,0	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{42}-q^{38}+3 q^{34}+2 q^{32}-3 q^{30}-3 q^{28}+2 q^{26}-7 q^{22}-5 q^{20}+2 q^{18}+2 q^{16}-4 q^{14}+5 q^{10}+q^8+2 q^6+6 q^4+4 q^2+3+5 q^{-2} +4 q^{-4} -5 q^{-6} -3 q^{-8} +3 q^{-10} -8 q^{-14} -2 q^{-16} +3 q^{-18} - q^{-20} -3 q^{-22} - q^{-24} +3 q^{-26} + q^{-28} }

A3 Invariants.

Weight	Invariant
0,1,0	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{34}-q^{32}+q^{30}+2 q^{28}-4 q^{26}+q^{24}+2 q^{22}-9 q^{20}+2 q^{18}+3 q^{16}-9 q^{14}+2 q^{12}+3 q^{10}-3 q^8+q^6+6 q^4+7 q^2+5+3 q^{-2} +9 q^{-4} -3 q^{-6} -8 q^{-8} +4 q^{-10} -6 q^{-12} -8 q^{-14} +5 q^{-16} - q^{-18} -2 q^{-20} +3 q^{-22} }
1,0,0	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle -q^{21}-q^{17}-2 q^{13}+q^{11}-q^9+q^7+q^5+3 q^3+3 q+2 q^{-1} +3 q^{-3} - q^{-5} -2 q^{-9} -2 q^{-13} }

A4 Invariants.

Weight	Invariant
0,1,0,0	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{44}+2 q^{38}+2 q^{36}-2 q^{34}-2 q^{32}+2 q^{30}-q^{28}-8 q^{26}-3 q^{24}+4 q^{22}-5 q^{20}-10 q^{18}+q^{14}-7 q^{12}-2 q^{10}+9 q^8+8 q^6+6 q^4+18 q^2+17+5 q^{-2} +5 q^{-4} +8 q^{-6} -8 q^{-8} -14 q^{-10} -6 q^{-12} -4 q^{-14} -10 q^{-16} -6 q^{-18} +4 q^{-20} +3 q^{-22} - q^{-24} + q^{-26} +3 q^{-28} }
1,0,0,0	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle -q^{26}-q^{22}-q^{20}-2 q^{16}+q^{14}-q^{12}+q^8+q^6+3 q^4+3 q^2+4+2 q^{-2} +3 q^{-4} - q^{-6} -2 q^{-10} -2 q^{-12} -2 q^{-16} }

B2 Invariants.

Weight	Invariant
0,1	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle -q^{34}+q^{32}-3 q^{30}+4 q^{28}-6 q^{26}+7 q^{24}-8 q^{22}+7 q^{20}-6 q^{18}+3 q^{16}+q^{14}-4 q^{12}+9 q^{10}-11 q^8+15 q^6-14 q^4+15 q^2-11+9 q^{-2} -3 q^{-4} + q^{-6} +4 q^{-8} -6 q^{-10} +8 q^{-12} -8 q^{-14} +7 q^{-16} -7 q^{-18} +4 q^{-20} -3 q^{-22} }
1,0	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{56}-q^{52}-q^{50}+2 q^{48}+3 q^{46}-q^{44}-5 q^{42}-2 q^{40}+5 q^{38}+5 q^{36}-5 q^{34}-9 q^{32}-q^{30}+8 q^{28}+3 q^{26}-8 q^{24}-6 q^{22}+3 q^{20}+6 q^{18}-2 q^{16}-5 q^{14}+q^{12}+7 q^{10}+2 q^8-3 q^6+8 q^2+7- q^{-2} -4 q^{-4} +5 q^{-6} +7 q^{-8} - q^{-10} -9 q^{-12} -3 q^{-14} +6 q^{-16} +4 q^{-18} -7 q^{-20} -9 q^{-22} +6 q^{-26} +2 q^{-28} -4 q^{-30} -3 q^{-32} + q^{-34} +3 q^{-36} }

D4 Invariants.

Weight

Invariant

1,0,0,0

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{46}-q^{44}+2 q^{42}-2 q^{40}+4 q^{38}-5 q^{36}+4 q^{34}-7 q^{32}+5 q^{30}-8 q^{28}+3 q^{26}-5 q^{24}+2 q^{22}-q^{20}-4 q^{18}+4 q^{16}-6 q^{14}+8 q^{12}-11 q^{10}+12 q^8-7 q^6+17 q^4-4 q^2+15- q^{-2} +11 q^{-4} + q^{-6} - q^{-8} -2 q^{-10} -7 q^{-12} +2 q^{-14} -10 q^{-16} +2 q^{-18} -9 q^{-20} +6 q^{-22} -4 q^{-24} +4 q^{-26} -3 q^{-28} +3 q^{-30} }

G2 Invariants.

Weight

Invariant

1,0

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{80}-q^{78}+3 q^{76}-4 q^{74}+3 q^{72}-2 q^{70}-3 q^{68}+9 q^{66}-15 q^{64}+17 q^{62}-15 q^{60}+3 q^{58}+9 q^{56}-25 q^{54}+35 q^{52}-32 q^{50}+17 q^{48}+3 q^{46}-25 q^{44}+35 q^{42}-31 q^{40}+14 q^{38}+7 q^{36}-24 q^{34}+26 q^{32}-14 q^{30}-9 q^{28}+30 q^{26}-37 q^{24}+31 q^{22}-10 q^{20}-18 q^{18}+42 q^{16}-50 q^{14}+46 q^{12}-24 q^{10}-q^8+30 q^6-41 q^4+45 q^2-27+8 q^{-2} +18 q^{-4} -27 q^{-6} +25 q^{-8} -6 q^{-10} -12 q^{-12} +30 q^{-14} -29 q^{-16} +14 q^{-18} +7 q^{-20} -29 q^{-22} +39 q^{-24} -37 q^{-26} +19 q^{-28} -20 q^{-32} +26 q^{-34} -26 q^{-36} +16 q^{-38} -5 q^{-40} -4 q^{-42} +5 q^{-44} -9 q^{-46} +6 q^{-48} -2 q^{-50} + q^{-52} + q^{-54} }