10 115 Quantum Invariants

Further quantum knot invariants for 10_115.

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}+3 q^9-5 q^7+5 q^5-3 q^3+2 q+2 q^{-1} -3 q^{-3} +5 q^{-5} -5 q^{-7} +3 q^{-9} - q^{-11} }
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}-3 q^{30}+q^{28}+11 q^{26}-18 q^{24}-9 q^{22}+44 q^{20}-24 q^{18}-43 q^{16}+65 q^{14}-64 q^{10}+42 q^8+27 q^6-45 q^4-2 q^2+37-2 q^{-2} -45 q^{-4} +27 q^{-6} +42 q^{-8} -64 q^{-10} +65 q^{-14} -43 q^{-16} -24 q^{-18} +44 q^{-20} -9 q^{-22} -18 q^{-24} +11 q^{-26} + q^{-28} -3 q^{-30} + q^{-32} }
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}+3 q^{61}-q^{59}-7 q^{57}+2 q^{55}+21 q^{53}+4 q^{51}-58 q^{49}-25 q^{47}+108 q^{45}+93 q^{43}-151 q^{41}-226 q^{39}+156 q^{37}+389 q^{35}-73 q^{33}-540 q^{31}-100 q^{29}+629 q^{27}+303 q^{25}-602 q^{23}-495 q^{21}+480 q^{19}+618 q^{17}-298 q^{15}-650 q^{13}+107 q^{11}+599 q^9+81 q^7-504 q^5-239 q^3+379 q+379 q^{-1} -239 q^{-3} -504 q^{-5} +81 q^{-7} +599 q^{-9} +107 q^{-11} -650 q^{-13} -298 q^{-15} +618 q^{-17} +480 q^{-19} -495 q^{-21} -602 q^{-23} +303 q^{-25} +629 q^{-27} -100 q^{-29} -540 q^{-31} -73 q^{-33} +389 q^{-35} +156 q^{-37} -226 q^{-39} -151 q^{-41} +93 q^{-43} +108 q^{-45} -25 q^{-47} -58 q^{-49} +4 q^{-51} +21 q^{-53} +2 q^{-55} -7 q^{-57} - q^{-59} +3 q^{-61} - q^{-63} }

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}+2 q^{12}-4 q^{10}+2 q^8-q^6-2 q^4+5 q^2-1+5 q^{-2} -2 q^{-4} - q^{-6} +2 q^{-8} -4 q^{-10} +2 q^{-12} + q^{-14} - q^{-16} }
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}-3 q^{38}+2 q^{36}+8 q^{34}-17 q^{30}-5 q^{28}+24 q^{26}+4 q^{24}-27 q^{22}-4 q^{20}+33 q^{18}+10 q^{16}-38 q^{14}-q^{12}+26 q^{10}-9 q^8-18 q^6+9 q^4+12 q^2-6+12 q^{-2} +9 q^{-4} -18 q^{-6} -9 q^{-8} +26 q^{-10} - q^{-12} -38 q^{-14} +10 q^{-16} +33 q^{-18} -4 q^{-20} -27 q^{-22} +4 q^{-24} +24 q^{-26} -5 q^{-28} -17 q^{-30} +8 q^{-34} +2 q^{-36} -3 q^{-38} - q^{-40} + q^{-42} }

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}-3 q^{32}+q^{30}+8 q^{28}-15 q^{26}+3 q^{24}+26 q^{22}-35 q^{20}+4 q^{18}+40 q^{16}-49 q^{14}+2 q^{12}+39 q^{10}-35 q^8-5 q^6+26 q^4-q^2-8- q^{-2} +26 q^{-4} -5 q^{-6} -35 q^{-8} +39 q^{-10} +2 q^{-12} -49 q^{-14} +40 q^{-16} +4 q^{-18} -35 q^{-20} +26 q^{-22} +3 q^{-24} -15 q^{-26} +8 q^{-28} + q^{-30} -3 q^{-32} + q^{-34} }
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}+2 q^{15}-4 q^{13}+3 q^{11}-4 q^9+q^7-2 q^5+4 q^3+2 q+2 q^{-1} +4 q^{-3} -2 q^{-5} + q^{-7} -4 q^{-9} +3 q^{-11} -4 q^{-13} +2 q^{-15} + q^{-19} - q^{-21} }

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}+3 q^{32}-7 q^{30}+14 q^{28}-25 q^{26}+37 q^{24}-48 q^{22}+57 q^{20}-60 q^{18}+54 q^{16}-41 q^{14}+20 q^{12}+7 q^{10}-37 q^8+67 q^6-90 q^4+109 q^2-114+109 q^{-2} -90 q^{-4} +67 q^{-6} -37 q^{-8} +7 q^{-10} +20 q^{-12} -41 q^{-14} +54 q^{-16} -60 q^{-18} +57 q^{-20} -48 q^{-22} +37 q^{-24} -25 q^{-26} +14 q^{-28} -7 q^{-30} +3 q^{-32} - q^{-34} }
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}-3 q^{52}-3 q^{50}+4 q^{48}+11 q^{46}+q^{44}-20 q^{42}-16 q^{40}+20 q^{38}+37 q^{36}-3 q^{34}-51 q^{32}-25 q^{30}+47 q^{28}+50 q^{26}-25 q^{24}-64 q^{22}-5 q^{20}+59 q^{18}+26 q^{16}-44 q^{14}-37 q^{12}+28 q^{10}+40 q^8-13 q^6-40 q^4+6 q^2+43+6 q^{-2} -40 q^{-4} -13 q^{-6} +40 q^{-8} +28 q^{-10} -37 q^{-12} -44 q^{-14} +26 q^{-16} +59 q^{-18} -5 q^{-20} -64 q^{-22} -25 q^{-24} +50 q^{-26} +47 q^{-28} -25 q^{-30} -51 q^{-32} -3 q^{-34} +37 q^{-36} +20 q^{-38} -16 q^{-40} -20 q^{-42} + q^{-44} +11 q^{-46} +4 q^{-48} -3 q^{-50} -3 q^{-52} + q^{-56} }

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}-3 q^{78}+7 q^{76}-13 q^{74}+16 q^{72}-17 q^{70}+8 q^{68}+17 q^{66}-53 q^{64}+98 q^{62}-130 q^{60}+121 q^{58}-62 q^{56}-61 q^{54}+225 q^{52}-360 q^{50}+410 q^{48}-311 q^{46}+62 q^{44}+258 q^{42}-536 q^{40}+646 q^{38}-522 q^{36}+193 q^{34}+206 q^{32}-514 q^{30}+589 q^{28}-396 q^{26}+28 q^{24}+339 q^{22}-530 q^{20}+436 q^{18}-110 q^{16}-314 q^{14}+652 q^{12}-743 q^{10}+555 q^8-133 q^6-361 q^4+759 q^2-907+759 q^{-2} -361 q^{-4} -133 q^{-6} +555 q^{-8} -743 q^{-10} +652 q^{-12} -314 q^{-14} -110 q^{-16} +436 q^{-18} -530 q^{-20} +339 q^{-22} +28 q^{-24} -396 q^{-26} +589 q^{-28} -514 q^{-30} +206 q^{-32} +193 q^{-34} -522 q^{-36} +646 q^{-38} -536 q^{-40} +258 q^{-42} +62 q^{-44} -311 q^{-46} +410 q^{-48} -360 q^{-50} +225 q^{-52} -61 q^{-54} -62 q^{-56} +121 q^{-58} -130 q^{-60} +98 q^{-62} -53 q^{-64} +17 q^{-66} +8 q^{-68} -17 q^{-70} +16 q^{-72} -13 q^{-74} +7 q^{-76} -3 q^{-78} + q^{-80} }