10 44 Quantum Invariants

Further quantum knot invariants for 10_44.

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^{15}-3 q^{13}+3 q^{11}-3 q^9+3 q^7-q^3+3 q-3 q^{-1} +3 q^{-3} -2 q^{-5} + 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^{42}-3 q^{40}+9 q^{36}-11 q^{34}-3 q^{32}+22 q^{30}-19 q^{28}-10 q^{26}+31 q^{24}-16 q^{22}-18 q^{20}+24 q^{18}-16 q^{14}+3 q^{12}+16 q^{10}-5 q^8-19 q^6+21 q^4+9 q^2-30+15 q^{-2} +18 q^{-4} -26 q^{-6} +3 q^{-8} +17 q^{-10} -12 q^{-12} -3 q^{-14} +8 q^{-16} -2 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^{81}-3 q^{79}+6 q^{75}+q^{73}-11 q^{71}-6 q^{69}+26 q^{67}+6 q^{65}-41 q^{63}-15 q^{61}+64 q^{59}+29 q^{57}-91 q^{55}-50 q^{53}+113 q^{51}+82 q^{49}-126 q^{47}-111 q^{45}+118 q^{43}+142 q^{41}-95 q^{39}-155 q^{37}+49 q^{35}+154 q^{33}-4 q^{31}-132 q^{29}-47 q^{27}+97 q^{25}+92 q^{23}-57 q^{21}-121 q^{19}+12 q^{17}+142 q^{15}+33 q^{13}-148 q^{11}-74 q^9+144 q^7+111 q^5-124 q^3-141 q+94 q^{-1} +157 q^{-3} -52 q^{-5} -159 q^{-7} +12 q^{-9} +142 q^{-11} +23 q^{-13} -110 q^{-15} -46 q^{-17} +74 q^{-19} +53 q^{-21} -41 q^{-23} -45 q^{-25} +15 q^{-27} +32 q^{-29} - q^{-31} -19 q^{-33} -3 q^{-35} +8 q^{-37} +3 q^{-39} -2 q^{-41} -2 q^{-43} + q^{-45} }
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^{132}-3 q^{130}+6 q^{126}-2 q^{124}+q^{122}-14 q^{120}+4 q^{118}+26 q^{116}-12 q^{114}-6 q^{112}-46 q^{110}+24 q^{108}+96 q^{106}-24 q^{104}-65 q^{102}-143 q^{100}+74 q^{98}+278 q^{96}+19 q^{94}-203 q^{92}-394 q^{90}+76 q^{88}+597 q^{86}+250 q^{84}-323 q^{82}-816 q^{80}-125 q^{78}+878 q^{76}+691 q^{74}-188 q^{72}-1169 q^{70}-566 q^{68}+799 q^{66}+1059 q^{64}+256 q^{62}-1085 q^{60}-953 q^{58}+282 q^{56}+1003 q^{54}+719 q^{52}-529 q^{50}-968 q^{48}-343 q^{46}+539 q^{44}+887 q^{42}+163 q^{40}-642 q^{38}-779 q^{36}-22 q^{34}+789 q^{32}+703 q^{30}-230 q^{28}-983 q^{26}-474 q^{24}+563 q^{22}+1054 q^{20}+174 q^{18}-1009 q^{16}-836 q^{14}+222 q^{12}+1213 q^{10}+602 q^8-783 q^6-1065 q^4-272 q^2+1061+956 q^{-2} -277 q^{-4} -984 q^{-6} -740 q^{-8} +560 q^{-10} +978 q^{-12} +273 q^{-14} -541 q^{-16} -866 q^{-18} -9 q^{-20} +608 q^{-22} +500 q^{-24} -27 q^{-26} -580 q^{-28} -278 q^{-30} +148 q^{-32} +348 q^{-34} +208 q^{-36} -201 q^{-38} -208 q^{-40} -71 q^{-42} +106 q^{-44} +157 q^{-46} -10 q^{-48} -61 q^{-50} -67 q^{-52} -2 q^{-54} +53 q^{-56} +14 q^{-58} - q^{-60} -19 q^{-62} -10 q^{-64} +8 q^{-66} +3 q^{-68} +3 q^{-70} -2 q^{-72} -2 q^{-74} + q^{-76} }
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^{195}-3 q^{193}+6 q^{189}-2 q^{187}-2 q^{185}-2 q^{183}-4 q^{181}+4 q^{179}+14 q^{177}-2 q^{175}-24 q^{173}-14 q^{171}+19 q^{169}+49 q^{167}+26 q^{165}-39 q^{163}-118 q^{161}-86 q^{159}+117 q^{157}+261 q^{155}+152 q^{153}-180 q^{151}-495 q^{149}-384 q^{147}+275 q^{145}+907 q^{143}+740 q^{141}-311 q^{139}-1429 q^{137}-1394 q^{135}+188 q^{133}+2101 q^{131}+2367 q^{129}+194 q^{127}-2761 q^{125}-3626 q^{123}-1019 q^{121}+3211 q^{119}+5121 q^{117}+2297 q^{115}-3264 q^{113}-6516 q^{111}-3991 q^{109}+2658 q^{107}+7562 q^{105}+5861 q^{103}-1406 q^{101}-7874 q^{99}-7558 q^{97}-403 q^{95}+7331 q^{93}+8665 q^{91}+2434 q^{89}-5866 q^{87}-8984 q^{85}-4316 q^{83}+3826 q^{81}+8346 q^{79}+5688 q^{77}-1450 q^{75}-6959 q^{73}-6439 q^{71}-772 q^{69}+5090 q^{67}+6497 q^{65}+2661 q^{63}-3064 q^{61}-6100 q^{59}-4108 q^{57}+1207 q^{55}+5447 q^{53}+5118 q^{51}+409 q^{49}-4750 q^{47}-5883 q^{45}-1752 q^{43}+4151 q^{41}+6476 q^{39}+2915 q^{37}-3562 q^{35}-7031 q^{33}-4042 q^{31}+2928 q^{29}+7489 q^{27}+5207 q^{25}-2074 q^{23}-7724 q^{21}-6406 q^{19}+881 q^{17}+7578 q^{15}+7529 q^{13}+652 q^{11}-6891 q^9-8327 q^7-2426 q^5+5551 q^3+8619 q+4197 q^{-1} -3690 q^{-3} -8172 q^{-5} -5610 q^{-7} +1470 q^{-9} +6965 q^{-11} +6426 q^{-13} +696 q^{-15} -5152 q^{-17} -6402 q^{-19} -2458 q^{-21} +3025 q^{-23} +5584 q^{-25} +3538 q^{-27} -1005 q^{-29} -4206 q^{-31} -3791 q^{-33} -565 q^{-35} +2596 q^{-37} +3342 q^{-39} +1505 q^{-41} -1144 q^{-43} -2481 q^{-45} -1767 q^{-47} +92 q^{-49} +1499 q^{-51} +1549 q^{-53} +494 q^{-55} -690 q^{-57} -1105 q^{-59} -642 q^{-61} +155 q^{-63} +630 q^{-65} +549 q^{-67} +113 q^{-69} -286 q^{-71} -367 q^{-73} -169 q^{-75} +83 q^{-77} +190 q^{-79} +138 q^{-81} +12 q^{-83} -86 q^{-85} -85 q^{-87} -24 q^{-89} +27 q^{-91} +35 q^{-93} +23 q^{-95} - q^{-97} -19 q^{-99} -10 q^{-101} + q^{-103} +3 q^{-105} +3 q^{-107} +3 q^{-109} -2 q^{-111} -2 q^{-113} + q^{-115} }

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^{22}-q^{20}-2 q^{18}+2 q^{16}-2 q^{14}+q^{12}+2 q^{10}-q^8+3 q^6-2 q^4+2 q^2-2 q^{-2} +2 q^{-4} - q^{-6} + 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^{60}-6 q^{58}+18 q^{56}-38 q^{54}+71 q^{52}-128 q^{50}+208 q^{48}-304 q^{46}+419 q^{44}-552 q^{42}+682 q^{40}-776 q^{38}+829 q^{36}-818 q^{34}+712 q^{32}-508 q^{30}+203 q^{28}+168 q^{26}-586 q^{24}+1002 q^{22}-1362 q^{20}+1632 q^{18}-1768 q^{16}+1758 q^{14}-1595 q^{12}+1316 q^{10}-940 q^8+510 q^6-77 q^4-304 q^2+606-814 q^{-2} +911 q^{-4} -900 q^{-6} +814 q^{-8} -680 q^{-10} +525 q^{-12} -370 q^{-14} +242 q^{-16} -144 q^{-18} +76 q^{-20} -36 q^{-22} +14 q^{-24} -4 q^{-26} + q^{-28} }
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^{56}-q^{54}-3 q^{52}+q^{50}+5 q^{48}+q^{46}-8 q^{44}+2 q^{42}+11 q^{40}-5 q^{38}-13 q^{36}+5 q^{34}+14 q^{32}-9 q^{30}-14 q^{28}+10 q^{26}+9 q^{24}-11 q^{22}-q^{20}+10 q^{18}-3 q^{16}-3 q^{14}+8 q^{12}-11 q^8+4 q^6+14 q^4-8 q^2-11+12 q^{-2} +9 q^{-4} -11 q^{-6} -7 q^{-8} +8 q^{-10} +6 q^{-12} -6 q^{-14} -4 q^{-16} +5 q^{-18} +3 q^{-20} -2 q^{-22} -2 q^{-24} + 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^{48}-3 q^{46}+8 q^{42}-9 q^{40}-2 q^{38}+18 q^{36}-15 q^{34}-10 q^{32}+24 q^{30}-14 q^{28}-14 q^{26}+23 q^{24}-5 q^{22}-11 q^{20}+9 q^{18}+6 q^{16}-4 q^{14}-9 q^{12}+13 q^{10}+7 q^8-22 q^6+12 q^4+14 q^2-23+8 q^{-2} +13 q^{-4} -17 q^{-6} +5 q^{-8} +7 q^{-10} -8 q^{-12} +3 q^{-14} +2 q^{-16} -2 q^{-18} + q^{-20} }
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^{29}-q^{27}-2 q^{23}+2 q^{21}-3 q^{19}+2 q^{17}-q^{15}+2 q^{13}+2 q^9+2 q^7-q^5+2 q^3-2 q+ q^{-1} -3 q^{-3} +2 q^{-5} - q^{-7} + q^{-9} + q^{-13} }

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^{48}-3 q^{46}+6 q^{44}-10 q^{42}+15 q^{40}-20 q^{38}+24 q^{36}-27 q^{34}+26 q^{32}-24 q^{30}+16 q^{28}-6 q^{26}-7 q^{24}+21 q^{22}-33 q^{20}+45 q^{18}-50 q^{16}+54 q^{14}-49 q^{12}+43 q^{10}-31 q^8+18 q^6-4 q^4-8 q^2+17-24 q^{-2} +27 q^{-4} -27 q^{-6} +23 q^{-8} -19 q^{-10} +14 q^{-12} -9 q^{-14} +6 q^{-16} -2 q^{-18} + q^{-20} }
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^{78}-3 q^{74}-3 q^{72}+3 q^{70}+9 q^{68}+2 q^{66}-12 q^{64}-11 q^{62}+9 q^{60}+21 q^{58}+3 q^{56}-24 q^{54}-18 q^{52}+14 q^{50}+27 q^{48}-2 q^{46}-28 q^{44}-11 q^{42}+21 q^{40}+19 q^{38}-13 q^{36}-20 q^{34}+6 q^{32}+21 q^{30}-18 q^{26}-4 q^{24}+17 q^{22}+7 q^{20}-15 q^{18}-10 q^{16}+16 q^{14}+16 q^{12}-13 q^{10}-24 q^8+5 q^6+29 q^4+9 q^2-25-22 q^{-2} +14 q^{-4} +28 q^{-6} + q^{-8} -23 q^{-10} -12 q^{-12} +13 q^{-14} +15 q^{-16} -3 q^{-18} -11 q^{-20} -3 q^{-22} +6 q^{-24} +4 q^{-26} -2 q^{-28} -2 q^{-30} + q^{-34} }

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^{114}-3 q^{112}+6 q^{110}-10 q^{108}+9 q^{106}-6 q^{104}-2 q^{102}+19 q^{100}-33 q^{98}+50 q^{96}-54 q^{94}+36 q^{92}-5 q^{90}-41 q^{88}+88 q^{86}-122 q^{84}+127 q^{82}-93 q^{80}+23 q^{78}+63 q^{76}-138 q^{74}+176 q^{72}-161 q^{70}+92 q^{68}-2 q^{66}-90 q^{64}+139 q^{62}-122 q^{60}+57 q^{58}+35 q^{56}-103 q^{54}+114 q^{52}-60 q^{50}-44 q^{48}+151 q^{46}-212 q^{44}+199 q^{42}-102 q^{40}-43 q^{38}+188 q^{36}-273 q^{34}+272 q^{32}-185 q^{30}+40 q^{28}+103 q^{26}-197 q^{24}+219 q^{22}-156 q^{20}+50 q^{18}+60 q^{16}-124 q^{14}+119 q^{12}-52 q^{10}-43 q^8+124 q^6-153 q^4+113 q^2-20-91 q^{-2} +177 q^{-4} -199 q^{-6} +154 q^{-8} -64 q^{-10} -43 q^{-12} +121 q^{-14} -154 q^{-16} +137 q^{-18} -81 q^{-20} +15 q^{-22} +36 q^{-24} -63 q^{-26} +63 q^{-28} -44 q^{-30} +23 q^{-32} - q^{-34} -10 q^{-36} +12 q^{-38} -10 q^{-40} +6 q^{-42} -2 q^{-44} + q^{-46} }