10 164 Quantum Invariants

Further quantum knot invariants for 10_164.

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}+2 q^9-2 q^7+2 q^5-q^3+2 q^{-1} - q^{-3} +3 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}-2 q^{30}-q^{28}+7 q^{26}-4 q^{24}-10 q^{22}+11 q^{20}+4 q^{18}-15 q^{16}+7 q^{14}+11 q^{12}-11 q^{10}-q^8+9 q^6-2 q^4-8 q^2+3+10 q^{-2} -11 q^{-4} -4 q^{-6} +17 q^{-8} -6 q^{-10} -9 q^{-12} +12 q^{-14} -7 q^{-18} + 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}+2 q^{61}+q^{59}-4 q^{57}-4 q^{55}+7 q^{53}+15 q^{51}-8 q^{49}-29 q^{47}-5 q^{45}+40 q^{43}+30 q^{41}-40 q^{39}-57 q^{37}+23 q^{35}+77 q^{33}+6 q^{31}-85 q^{29}-33 q^{27}+75 q^{25}+54 q^{23}-58 q^{21}-65 q^{19}+40 q^{17}+64 q^{15}-19 q^{13}-56 q^{11}+q^9+52 q^7+16 q^5-42 q^3-38 q+33 q^{-1} +58 q^{-3} -17 q^{-5} -78 q^{-7} -4 q^{-9} +88 q^{-11} +28 q^{-13} -80 q^{-15} -51 q^{-17} +61 q^{-19} +63 q^{-21} -30 q^{-23} -59 q^{-25} +8 q^{-27} +38 q^{-29} +11 q^{-31} -22 q^{-33} -13 q^{-35} +6 q^{-37} +5 q^{-39} +2 q^{-41} -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}+q^{14}+q^{12}-2 q^{10}+q^8-q^6+2 q^2+3 q^{-2} - q^{-4} + q^{-6} + q^{-8} -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}-4 q^{42}+10 q^{40}-22 q^{38}+46 q^{36}-80 q^{34}+122 q^{32}-172 q^{30}+214 q^{28}-236 q^{26}+224 q^{24}-176 q^{22}+94 q^{20}+18 q^{18}-148 q^{16}+264 q^{14}-353 q^{12}+418 q^{10}-434 q^8+418 q^6-352 q^4+256 q^2-144+16 q^{-2} +92 q^{-4} -182 q^{-6} +242 q^{-8} -246 q^{-10} +227 q^{-12} -176 q^{-14} +128 q^{-16} -80 q^{-18} +35 q^{-20} -14 q^{-22} +2 q^{-24} -2 q^{-28} +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^{40}-2 q^{38}+q^{36}+5 q^{34}+2 q^{32}-8 q^{30}-5 q^{28}+4 q^{26}+4 q^{24}-6 q^{22}-3 q^{20}+8 q^{18}+6 q^{16}-3 q^{14}-2 q^{12}+5 q^{10}-3 q^8-2 q^6-2 q^2-1+4 q^{-2} +5 q^{-4} -6 q^{-6} +9 q^{-10} +4 q^{-12} -9 q^{-14} - q^{-16} +7 q^{-18} + q^{-20} -5 q^{-22} -4 q^{-24} +2 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}-2 q^{32}+3 q^{28}-6 q^{26}+4 q^{24}+6 q^{22}-10 q^{20}+6 q^{18}+4 q^{16}-12 q^{14}+2 q^{12}+3 q^{10}-5 q^8+4 q^4+5 q^2+1- q^{-2} +11 q^{-4} -3 q^{-6} -7 q^{-8} +11 q^{-10} -5 q^{-12} -8 q^{-14} +7 q^{-16} -3 q^{-18} -3 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^{19}+q^{15}-2 q^{13}+q^{11}-2 q^9+2 q^3+2 q+ q^{-1} +3 q^{-3} - q^{-5} + q^{-7} - q^{-9} + q^{-11} -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}-q^{42}-2 q^{40}+2 q^{38}+2 q^{36}-4 q^{34}-2 q^{32}+7 q^{30}+2 q^{28}-8 q^{26}+q^{24}+11 q^{22}-4 q^{20}-11 q^{18}+5 q^{16}+3 q^{14}-12 q^{12}-6 q^{10}+6 q^8-2 q^6-4 q^4+14 q^2+13- q^{-2} +7 q^{-4} +15 q^{-6} -5 q^{-8} -11 q^{-10} +2 q^{-12} +2 q^{-14} -10 q^{-16} -6 q^{-18} +5 q^{-20} +2 q^{-22} -4 q^{-24} +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^{24}+q^{18}-2 q^{16}+q^{14}-2 q^{12}-q^{10}+2 q^4+2 q^2+3+ q^{-2} +3 q^{-4} - q^{-6} + q^{-8} - q^{-10} - q^{-12} + q^{-14} -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}+2 q^{32}-4 q^{30}+7 q^{28}-10 q^{26}+12 q^{24}-12 q^{22}+10 q^{20}-8 q^{18}+4 q^{16}+2 q^{14}-8 q^{12}+15 q^{10}-19 q^8+22 q^6-22 q^4+21 q^2-17+11 q^{-2} -3 q^{-4} - q^{-6} +7 q^{-8} -9 q^{-10} +13 q^{-12} -12 q^{-14} +11 q^{-16} -9 q^{-18} +5 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}-2 q^{52}-2 q^{50}+2 q^{48}+5 q^{46}-q^{44}-8 q^{42}-3 q^{40}+10 q^{38}+9 q^{36}-7 q^{34}-12 q^{32}+q^{30}+13 q^{28}+4 q^{26}-12 q^{24}-8 q^{22}+6 q^{20}+8 q^{18}-4 q^{16}-8 q^{14}+2 q^{12}+9 q^{10}+q^8-8 q^6-2 q^4+9 q^2+7-6 q^{-2} -8 q^{-4} +7 q^{-6} +11 q^{-8} -2 q^{-10} -12 q^{-12} - q^{-14} +12 q^{-16} +8 q^{-18} -9 q^{-20} -11 q^{-22} +2 q^{-24} +9 q^{-26} + q^{-28} -6 q^{-30} -4 q^{-32} + q^{-34} +3 q^{-36} }

D4 Invariants.

Weight	Invariant
1,0,0,0	$q^{46}-2q^{44}+2q^{42}-4q^{40}+6q^{38}-8q^{36}+9q^{34}-9q^{32}+11q^{30}-8q^{28}+7q^{26}-5q^{24}+3q^{22}-q^{20}-8q^{18}+6q^{16}-12q^{14}+12q^{12}-18q^{10}+17q^{8}-14q^{6}+21q^{4}-11q^{2}+16-6q^{-2}+11q^{-4}+q^{-6}-2q^{-8}+2q^{-10}-7q^{-12}+8q^{-14}-11q^{-16}+7q^{-18}-12q^{-20}+9q^{-22}-6q^{-24}+4q^{-26}-4q^{-28}+3q^{-30}$

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}-2 q^{78}+4 q^{76}-7 q^{74}+6 q^{72}-5 q^{70}-2 q^{68}+15 q^{66}-26 q^{64}+36 q^{62}-32 q^{60}+11 q^{58}+17 q^{56}-50 q^{54}+70 q^{52}-61 q^{50}+29 q^{48}+17 q^{46}-54 q^{44}+69 q^{42}-52 q^{40}+12 q^{38}+30 q^{36}-61 q^{34}+50 q^{32}-15 q^{30}-32 q^{28}+69 q^{26}-75 q^{24}+52 q^{22}-7 q^{20}-40 q^{18}+74 q^{16}-93 q^{14}+78 q^{12}-34 q^{10}-12 q^8+56 q^6-77 q^4+75 q^2-36-6 q^{-2} +40 q^{-4} -58 q^{-6} +45 q^{-8} + q^{-10} -43 q^{-12} +69 q^{-14} -56 q^{-16} +21 q^{-18} +28 q^{-20} -66 q^{-22} +72 q^{-24} -55 q^{-26} +22 q^{-28} +13 q^{-30} -40 q^{-32} +45 q^{-34} -33 q^{-36} +16 q^{-38} + q^{-40} -10 q^{-42} +7 q^{-44} -9 q^{-46} +5 q^{-48} -2 q^{-50} + q^{-52} + q^{-54} }