10 43 Quantum Invariants

Further quantum knot invariants for 10_43.

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^9-3 q^7+3 q^5-2 q^3+2 q+2 q^{-1} -2 q^{-3} +3 q^{-5} -3 q^{-7} +2 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}-2 q^{30}-q^{28}+7 q^{26}-6 q^{24}-7 q^{22}+18 q^{20}-7 q^{18}-19 q^{16}+24 q^{14}-25 q^{10}+18 q^8+9 q^6-17 q^4+2 q^2+13+2 q^{-2} -17 q^{-4} +9 q^{-6} +18 q^{-8} -25 q^{-10} +24 q^{-14} -19 q^{-16} -7 q^{-18} +18 q^{-20} -7 q^{-22} -6 q^{-24} +7 q^{-26} - q^{-28} -2 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}+2 q^{61}+q^{59}-3 q^{57}-4 q^{55}+6 q^{53}+10 q^{51}-12 q^{49}-19 q^{47}+16 q^{45}+36 q^{43}-15 q^{41}-61 q^{39}+8 q^{37}+87 q^{35}+11 q^{33}-108 q^{31}-42 q^{29}+121 q^{27}+75 q^{25}-118 q^{23}-108 q^{21}+101 q^{19}+125 q^{17}-70 q^{15}-134 q^{13}+37 q^{11}+122 q^9+5 q^7-104 q^5-36 q^3+74 q+74 q^{-1} -36 q^{-3} -104 q^{-5} +5 q^{-7} +122 q^{-9} +37 q^{-11} -134 q^{-13} -70 q^{-15} +125 q^{-17} +101 q^{-19} -108 q^{-21} -118 q^{-23} +75 q^{-25} +121 q^{-27} -42 q^{-29} -108 q^{-31} +11 q^{-33} +87 q^{-35} +8 q^{-37} -61 q^{-39} -15 q^{-41} +36 q^{-43} +16 q^{-45} -19 q^{-47} -12 q^{-49} +10 q^{-51} +6 q^{-53} -4 q^{-55} -3 q^{-57} + q^{-59} +2 q^{-61} - q^{-63} }
4	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^{104}-2 q^{102}-q^{100}+3 q^{98}+4 q^{94}-9 q^{92}-5 q^{90}+13 q^{88}+4 q^{86}+12 q^{84}-36 q^{82}-28 q^{80}+39 q^{78}+42 q^{76}+52 q^{74}-95 q^{72}-123 q^{70}+30 q^{68}+134 q^{66}+214 q^{64}-114 q^{62}-324 q^{60}-141 q^{58}+184 q^{56}+529 q^{54}+76 q^{52}-480 q^{50}-514 q^{48}-11 q^{46}+803 q^{44}+498 q^{42}-361 q^{40}-852 q^{38}-439 q^{36}+762 q^{34}+866 q^{32}+26 q^{30}-866 q^{28}-803 q^{26}+412 q^{24}+904 q^{22}+402 q^{20}-557 q^{18}-859 q^{16}-14 q^{14}+639 q^{12}+585 q^{10}-142 q^8-662 q^6-364 q^4+261 q^2+619+261 q^{-2} -364 q^{-4} -662 q^{-6} -142 q^{-8} +585 q^{-10} +639 q^{-12} -14 q^{-14} -859 q^{-16} -557 q^{-18} +402 q^{-20} +904 q^{-22} +412 q^{-24} -803 q^{-26} -866 q^{-28} +26 q^{-30} +866 q^{-32} +762 q^{-34} -439 q^{-36} -852 q^{-38} -361 q^{-40} +498 q^{-42} +803 q^{-44} -11 q^{-46} -514 q^{-48} -480 q^{-50} +76 q^{-52} +529 q^{-54} +184 q^{-56} -141 q^{-58} -324 q^{-60} -114 q^{-62} +214 q^{-64} +134 q^{-66} +30 q^{-68} -123 q^{-70} -95 q^{-72} +52 q^{-74} +42 q^{-76} +39 q^{-78} -28 q^{-80} -36 q^{-82} +12 q^{-84} +4 q^{-86} +13 q^{-88} -5 q^{-90} -9 q^{-92} +4 q^{-94} +3 q^{-98} - q^{-100} -2 q^{-102} + q^{-104} }
5	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^{155}+2 q^{153}+q^{151}-3 q^{149}-q^{143}+4 q^{141}+4 q^{139}-9 q^{137}-7 q^{135}+6 q^{133}+12 q^{131}+16 q^{129}-q^{127}-36 q^{125}-53 q^{123}-3 q^{121}+79 q^{119}+110 q^{117}+45 q^{115}-113 q^{113}-234 q^{111}-161 q^{109}+133 q^{107}+415 q^{105}+377 q^{103}-50 q^{101}-606 q^{99}-767 q^{97}-218 q^{95}+751 q^{93}+1294 q^{91}+739 q^{89}-678 q^{87}-1864 q^{85}-1592 q^{83}+260 q^{81}+2330 q^{79}+2681 q^{77}+596 q^{75}-2449 q^{73}-3818 q^{71}-1917 q^{69}+2069 q^{67}+4773 q^{65}+3487 q^{63}-1137 q^{61}-5240 q^{59}-5042 q^{57}-286 q^{55}+5120 q^{53}+6284 q^{51}+1888 q^{49}-4364 q^{47}-6945 q^{45}-3430 q^{43}+3166 q^{41}+6948 q^{39}+4586 q^{37}-1734 q^{35}-6354 q^{33}-5255 q^{31}+370 q^{29}+5315 q^{27}+5370 q^{25}+839 q^{23}-4086 q^{21}-5123 q^{19}-1709 q^{17}+2816 q^{15}+4583 q^{13}+2406 q^{11}-1615 q^9-4030 q^7-2923 q^5+534 q^3+3448 q+3448 q^{-1} +534 q^{-3} -2923 q^{-5} -4030 q^{-7} -1615 q^{-9} +2406 q^{-11} +4583 q^{-13} +2816 q^{-15} -1709 q^{-17} -5123 q^{-19} -4086 q^{-21} +839 q^{-23} +5370 q^{-25} +5315 q^{-27} +370 q^{-29} -5255 q^{-31} -6354 q^{-33} -1734 q^{-35} +4586 q^{-37} +6948 q^{-39} +3166 q^{-41} -3430 q^{-43} -6945 q^{-45} -4364 q^{-47} +1888 q^{-49} +6284 q^{-51} +5120 q^{-53} -286 q^{-55} -5042 q^{-57} -5240 q^{-59} -1137 q^{-61} +3487 q^{-63} +4773 q^{-65} +2069 q^{-67} -1917 q^{-69} -3818 q^{-71} -2449 q^{-73} +596 q^{-75} +2681 q^{-77} +2330 q^{-79} +260 q^{-81} -1592 q^{-83} -1864 q^{-85} -678 q^{-87} +739 q^{-89} +1294 q^{-91} +751 q^{-93} -218 q^{-95} -767 q^{-97} -606 q^{-99} -50 q^{-101} +377 q^{-103} +415 q^{-105} +133 q^{-107} -161 q^{-109} -234 q^{-111} -113 q^{-113} +45 q^{-115} +110 q^{-117} +79 q^{-119} -3 q^{-121} -53 q^{-123} -36 q^{-125} - q^{-127} +16 q^{-129} +12 q^{-131} +6 q^{-133} -7 q^{-135} -9 q^{-137} +4 q^{-139} +4 q^{-141} - q^{-143} -3 q^{-149} + q^{-151} +2 q^{-153} - q^{-155} }

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^{12}-2 q^{10}+2 q^8-q^4+3 q^2-1+3 q^{-2} - q^{-4} +2 q^{-8} -2 q^{-10} + q^{-12} - q^{-16} }
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}+12 q^{40}-28 q^{38}+56 q^{36}-98 q^{34}+162 q^{32}-252 q^{30}+353 q^{28}-462 q^{26}+576 q^{24}-666 q^{22}+697 q^{20}-664 q^{18}+554 q^{16}-362 q^{14}+80 q^{12}+252 q^{10}-592 q^8+920 q^6-1186 q^4+1366 q^2-1422+1366 q^{-2} -1186 q^{-4} +920 q^{-6} -592 q^{-8} +252 q^{-10} +80 q^{-12} -362 q^{-14} +554 q^{-16} -664 q^{-18} +697 q^{-20} -666 q^{-22} +576 q^{-24} -462 q^{-26} +353 q^{-28} -252 q^{-30} +162 q^{-32} -98 q^{-34} +56 q^{-36} -28 q^{-38} +12 q^{-40} -4 q^{-42} + q^{-44} }
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}-2 q^{38}-q^{36}+3 q^{34}+3 q^{32}-5 q^{30}-3 q^{28}+8 q^{26}+2 q^{24}-11 q^{22}-5 q^{20}+11 q^{18}+2 q^{16}-14 q^{14}+2 q^{12}+13 q^{10}-4 q^8-7 q^6+8 q^4+4 q^2-4+4 q^{-2} +8 q^{-4} -7 q^{-6} -4 q^{-8} +13 q^{-10} +2 q^{-12} -14 q^{-14} +2 q^{-16} +11 q^{-18} -5 q^{-20} -11 q^{-22} +2 q^{-24} +8 q^{-26} -3 q^{-28} -5 q^{-30} +3 q^{-32} +3 q^{-34} - q^{-36} -2 q^{-38} + 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}-2 q^{32}+q^{30}+4 q^{28}-8 q^{26}+2 q^{24}+9 q^{22}-17 q^{20}+3 q^{18}+17 q^{16}-20 q^{14}+q^{12}+19 q^{10}-14 q^8-4 q^6+13 q^4-4+13 q^{-4} -4 q^{-6} -14 q^{-8} +19 q^{-10} + q^{-12} -20 q^{-14} +17 q^{-16} +3 q^{-18} -17 q^{-20} +9 q^{-22} +2 q^{-24} -8 q^{-26} +4 q^{-28} + q^{-30} -2 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^{17}+q^{15}-2 q^{13}+3 q^{11}-q^9+2 q^7-q^5+2 q^3+2 q^{-3} - q^{-5} +2 q^{-7} - q^{-9} +3 q^{-11} -2 q^{-13} + q^{-15} - q^{-17} - 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}+2 q^{32}-5 q^{30}+8 q^{28}-12 q^{26}+16 q^{24}-21 q^{22}+23 q^{20}-23 q^{18}+21 q^{16}-14 q^{14}+7 q^{12}+5 q^{10}-16 q^8+28 q^6-37 q^4+44 q^2-46+44 q^{-2} -37 q^{-4} +28 q^{-6} -16 q^{-8} +5 q^{-10} +7 q^{-12} -14 q^{-14} +21 q^{-16} -23 q^{-18} +23 q^{-20} -21 q^{-22} +16 q^{-24} -12 q^{-26} +8 q^{-28} -5 q^{-30} +2 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}-2 q^{52}-2 q^{50}+3 q^{48}+6 q^{46}-q^{44}-10 q^{42}-6 q^{40}+10 q^{38}+15 q^{36}-5 q^{34}-22 q^{32}-8 q^{30}+20 q^{28}+20 q^{26}-11 q^{24}-25 q^{22}-2 q^{20}+23 q^{18}+11 q^{16}-16 q^{14}-15 q^{12}+10 q^{10}+16 q^8-4 q^6-15 q^4+3 q^2+17+3 q^{-2} -15 q^{-4} -4 q^{-6} +16 q^{-8} +10 q^{-10} -15 q^{-12} -16 q^{-14} +11 q^{-16} +23 q^{-18} -2 q^{-20} -25 q^{-22} -11 q^{-24} +20 q^{-26} +20 q^{-28} -8 q^{-30} -22 q^{-32} -5 q^{-34} +15 q^{-36} +10 q^{-38} -6 q^{-40} -10 q^{-42} - q^{-44} +6 q^{-46} +3 q^{-48} -2 q^{-50} -2 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}-2 q^{78}+5 q^{76}-8 q^{74}+8 q^{72}-6 q^{70}-3 q^{68}+16 q^{66}-30 q^{64}+41 q^{62}-46 q^{60}+29 q^{58}+2 q^{56}-45 q^{54}+88 q^{52}-109 q^{50}+105 q^{48}-63 q^{46}-10 q^{44}+86 q^{42}-144 q^{40}+156 q^{38}-115 q^{36}+37 q^{34}+48 q^{32}-108 q^{30}+123 q^{28}-79 q^{26}+5 q^{24}+68 q^{22}-104 q^{20}+78 q^{18}-6 q^{16}-87 q^{14}+161 q^{12}-175 q^{10}+130 q^8-25 q^6-99 q^4+198 q^2-235+198 q^{-2} -99 q^{-4} -25 q^{-6} +130 q^{-8} -175 q^{-10} +161 q^{-12} -87 q^{-14} -6 q^{-16} +78 q^{-18} -104 q^{-20} +68 q^{-22} +5 q^{-24} -79 q^{-26} +123 q^{-28} -108 q^{-30} +48 q^{-32} +37 q^{-34} -115 q^{-36} +156 q^{-38} -144 q^{-40} +86 q^{-42} -10 q^{-44} -63 q^{-46} +105 q^{-48} -109 q^{-50} +88 q^{-52} -45 q^{-54} +2 q^{-56} +29 q^{-58} -46 q^{-60} +41 q^{-62} -30 q^{-64} +16 q^{-66} -3 q^{-68} -6 q^{-70} +8 q^{-72} -8 q^{-74} +5 q^{-76} -2 q^{-78} + q^{-80} }