10 143 Quantum Invariants

Further quantum knot invariants for 10_143.

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^{17}+q^{15}-q^{13}+q^{11}-q^9+2 q^5+2 q- q^{-1} }
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^{48}-q^{46}-q^{44}+3 q^{42}-q^{40}-4 q^{38}+3 q^{36}+2 q^{34}-5 q^{32}+q^{30}+4 q^{28}-3 q^{26}+3 q^{22}-q^{20}-4 q^{18}-q^{16}+4 q^{14}-3 q^{12}-q^{10}+7 q^8-2 q^4+4 q^2-2 q^{-2} }
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^{93}+q^{91}+q^{89}-q^{87}-2 q^{85}+q^{83}+5 q^{81}-7 q^{77}-3 q^{75}+7 q^{73}+8 q^{71}-5 q^{69}-13 q^{67}+14 q^{63}+7 q^{61}-13 q^{59}-12 q^{57}+10 q^{55}+15 q^{53}-6 q^{51}-15 q^{49}+3 q^{47}+12 q^{45}-q^{43}-10 q^{41}-2 q^{39}+10 q^{37}+4 q^{35}-4 q^{33}-10 q^{31}+q^{29}+11 q^{27}+q^{25}-16 q^{23}-7 q^{21}+15 q^{19}+11 q^{17}-10 q^{15}-12 q^{13}+9 q^{11}+14 q^9+q^7-9 q^5-q^3+4 q+4 q^{-1} -2 q^{-3} -3 q^{-5} - q^{-7} + q^{-11} }
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^{225}+q^{223}+q^{221}-q^{219}+q^{211}+2 q^{209}-2 q^{207}-5 q^{205}-2 q^{203}+q^{201}+6 q^{199}+10 q^{197}+6 q^{195}-10 q^{193}-20 q^{191}-14 q^{189}+q^{187}+24 q^{185}+33 q^{183}+18 q^{181}-18 q^{179}-47 q^{177}-45 q^{175}-12 q^{173}+41 q^{171}+77 q^{169}+61 q^{167}-7 q^{165}-82 q^{163}-110 q^{161}-63 q^{159}+45 q^{157}+139 q^{155}+144 q^{153}+33 q^{151}-125 q^{149}-205 q^{147}-136 q^{145}+56 q^{143}+229 q^{141}+231 q^{139}+40 q^{137}-199 q^{135}-287 q^{133}-141 q^{131}+129 q^{129}+300 q^{127}+217 q^{125}-49 q^{123}-268 q^{121}-250 q^{119}-22 q^{117}+209 q^{115}+246 q^{113}+68 q^{111}-149 q^{109}-210 q^{107}-84 q^{105}+93 q^{103}+162 q^{101}+81 q^{99}-56 q^{97}-118 q^{95}-61 q^{93}+32 q^{91}+81 q^{89}+54 q^{87}-14 q^{85}-71 q^{83}-55 q^{81}+3 q^{79}+54 q^{77}+78 q^{75}+28 q^{73}-62 q^{71}-112 q^{69}-65 q^{67}+55 q^{65}+155 q^{63}+129 q^{61}-27 q^{59}-192 q^{57}-201 q^{55}-24 q^{53}+205 q^{51}+268 q^{49}+97 q^{47}-181 q^{45}-316 q^{43}-182 q^{41}+112 q^{39}+311 q^{37}+246 q^{35}-22 q^{33}-259 q^{31}-272 q^{29}-75 q^{27}+167 q^{25}+257 q^{23}+139 q^{21}-60 q^{19}-179 q^{17}-160 q^{15}-24 q^{13}+106 q^{11}+134 q^9+68 q^7-23 q^5-83 q^3-73 q-17 q^{-1} +34 q^{-3} +46 q^{-5} +28 q^{-7} -2 q^{-9} -22 q^{-11} -23 q^{-13} -9 q^{-15} +5 q^{-17} +8 q^{-19} +7 q^{-21} +2 q^{-23} -2 q^{-25} -2 q^{-27} }
6	$q^{312}-q^{310}-q^{308}+q^{306}-2q^{300}+2q^{298}-2q^{294}+4q^{292}+3q^{290}+q^{288}-6q^{286}-2q^{284}-6q^{282}-8q^{280}+6q^{278}+14q^{276}+19q^{274}+3q^{272}-22q^{268}-40q^{266}-22q^{264}+6q^{262}+44q^{260}+47q^{258}+54q^{256}+10q^{254}-57q^{252}-94q^{250}-87q^{248}-25q^{246}+37q^{244}+136q^{242}+155q^{240}+90q^{238}-35q^{236}-160q^{234}-220q^{232}-207q^{230}-24q^{228}+183q^{226}+330q^{224}+318q^{222}+144q^{220}-155q^{218}-457q^{216}-501q^{214}-287q^{212}+138q^{210}+538q^{208}+719q^{206}+481q^{204}-108q^{202}-668q^{200}-921q^{198}-639q^{196}+44q^{194}+810q^{192}+1127q^{190}+758q^{188}-73q^{186}-927q^{184}-1253q^{182}-834q^{180}+168q^{178}+1064q^{176}+1300q^{174}+741q^{172}-292q^{170}-1132q^{168}-1261q^{166}-539q^{164}+471q^{162}+1125q^{160}+1038q^{158}+294q^{156}-587q^{154}-1034q^{152}-735q^{150}-19q^{148}+621q^{146}+788q^{144}+432q^{142}-157q^{140}-569q^{138}-516q^{136}-156q^{134}+239q^{132}+401q^{130}+284q^{128}-241q^{124}-257q^{122}-110q^{120}+99q^{118}+195q^{116}+161q^{114}+16q^{112}-144q^{110}-208q^{108}-130q^{106}+70q^{104}+220q^{102}+266q^{100}+119q^{98}-146q^{96}-392q^{94}-394q^{92}-81q^{90}+319q^{88}+607q^{86}+505q^{84}+29q^{82}-593q^{80}-880q^{78}-560q^{76}+159q^{74}+893q^{72}+1090q^{70}+575q^{68}-422q^{66}-1191q^{64}-1195q^{62}-443q^{60}+652q^{58}+1350q^{56}+1212q^{54}+254q^{52}-833q^{50}-1366q^{48}-1076q^{46}-128q^{44}+854q^{42}+1280q^{40}+879q^{38}+23q^{36}-753q^{34}-1050q^{32}-717q^{30}-11q^{28}+622q^{26}+795q^{24}+536q^{22}+48q^{20}-409q^{18}-574q^{16}-399q^{14}-46q^{12}+238q^{10}+356q^{8}+290q^{6}+79q^{4}-125q^{2}-210-171q^{-2}-74q^{-4}+32q^{-6}+106q^{-8}+103q^{-10}+49q^{-12}-6q^{-14}-38q^{-16}-48q^{-18}-35q^{-20}-5q^{-22}+12q^{-24}+16q^{-26}+12q^{-28}+7q^{-30}+q^{-32}-5q^{-34}-2q^{-36}-q^{-38}-q^{-40}-q^{-42}+q^{-46}$

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^{24}-q^{20}+q^{16}-q^{14}+q^{12}+2 q^8+2 q^6+q^2-1}
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^{68}-2 q^{66}+4 q^{64}-8 q^{62}+15 q^{60}-20 q^{58}+26 q^{56}-34 q^{54}+37 q^{52}-34 q^{50}+24 q^{48}-14 q^{46}-5 q^{44}+24 q^{42}-42 q^{40}+58 q^{38}-61 q^{36}+66 q^{34}-62 q^{32}+50 q^{30}-42 q^{28}+18 q^{26}-6 q^{24}-14 q^{22}+24 q^{20}-32 q^{18}+42 q^{16}-28 q^{14}+30 q^{12}-14 q^{10}+16 q^8-6 q^6+2 q^4-4 q^2-2 q^{-2} + q^{-4} }
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^{62}+q^{56}+q^{54}-q^{52}-2 q^{50}-q^{48}-3 q^{44}-2 q^{42}+2 q^{40}+q^{38}+q^{36}+2 q^{34}+3 q^{32}-3 q^{28}-3 q^{26}-4 q^{24}-5 q^{22}+q^{20}+4 q^{18}+3 q^{16}+4 q^{14}+6 q^{12}+3 q^{10}-q^6+q^4-q^2-2}

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^{54}-q^{52}+q^{48}-2 q^{46}+2 q^{44}+2 q^{42}-3 q^{40}+2 q^{38}-6 q^{34}-2 q^{32}-q^{30}-3 q^{28}+2 q^{24}+3 q^{22}+2 q^{20}+q^{18}+6 q^{16}+5 q^{10}-q^8-3 q^6+2 q^4-q^2-1+ q^{-2} }
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^{31}-2 q^{27}-q^{23}+q^{21}+q^{17}+q^{15}+q^{13}+2 q^{11}+q^9+2 q^7-q^5+q^3-q}
1,0,1	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^{88}-2 q^{86}+3 q^{84}-3 q^{82}+q^{80}+6 q^{78}-11 q^{76}+13 q^{74}-10 q^{72}+13 q^{68}-21 q^{66}+26 q^{64}-25 q^{62}+8 q^{60}+4 q^{58}-25 q^{56}+31 q^{54}-23 q^{52}+23 q^{50}-4 q^{48}+9 q^{46}-7 q^{44}-5 q^{42}-4 q^{40}-25 q^{38}+20 q^{36}-38 q^{34}+34 q^{32}-20 q^{30}+4 q^{28}+22 q^{26}-24 q^{24}+32 q^{22}-9 q^{20}+12 q^{18}+11 q^{16}+q^{14}+7 q^{12}+q^{10}-6 q^8-q^6-2 q^4-4 q^2+3-2 q^{-2} + q^{-4} }

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^{68}+q^{62}-q^{60}-q^{58}+3 q^{56}+2 q^{54}-q^{52}+2 q^{50}+2 q^{48}-4 q^{46}-9 q^{44}-6 q^{42}-6 q^{40}-10 q^{38}-3 q^{36}+5 q^{34}+3 q^{32}+5 q^{30}+12 q^{28}+7 q^{26}+3 q^{24}+5 q^{22}+4 q^{20}-q^{18}-3 q^{16}+2 q^{14}-3 q^{10}-q^8+2 q^6-q^4+1}
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^{38}-2 q^{34}-q^{32}-q^{30}-q^{28}+q^{26}+2 q^{22}+q^{20}+2 q^{18}+q^{16}+2 q^{14}+q^{12}+q^{10}+q^8-q^6+q^4-q^2}

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^{54}+q^{52}-2 q^{50}+3 q^{48}-4 q^{46}+4 q^{44}-4 q^{42}+3 q^{40}-2 q^{38}+2 q^{34}-4 q^{32}+5 q^{30}-7 q^{28}+8 q^{26}-8 q^{24}+7 q^{22}-4 q^{20}+3 q^{18}+4 q^{12}-3 q^{10}+5 q^8-3 q^6+4 q^4-3 q^2+1- q^{-2} }
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^{88}-q^{84}-q^{82}+q^{80}+2 q^{78}-q^{76}-3 q^{74}+4 q^{70}+3 q^{68}-3 q^{66}-4 q^{64}+q^{62}+4 q^{60}-5 q^{56}-3 q^{54}+q^{52}+q^{50}-2 q^{48}-3 q^{46}+q^{44}+3 q^{42}-3 q^{38}+4 q^{34}+2 q^{32}-2 q^{30}-2 q^{28}+4 q^{26}+4 q^{24}-3 q^{20}+2 q^{18}+5 q^{16}+3 q^{14}-3 q^{12}-3 q^{10}+3 q^6-2 q^2-1+ q^{-4} }

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^{74}-q^{72}+q^{70}-2 q^{68}+3 q^{66}-3 q^{64}+3 q^{62}-3 q^{60}+4 q^{58}-2 q^{56}+2 q^{54}-q^{52}-q^{50}-q^{48}-6 q^{46}-7 q^{42}+2 q^{40}-8 q^{38}+6 q^{36}-4 q^{34}+9 q^{32}-q^{30}+7 q^{28}+q^{26}+5 q^{24}+3 q^{22}+2 q^{18}-2 q^{16}+4 q^{14}-3 q^{12}+2 q^{10}-4 q^8+3 q^6-2 q^4+q^2-1+ q^{-2} }

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^{128}-q^{126}+2 q^{124}-3 q^{122}+2 q^{120}-q^{118}-2 q^{116}+7 q^{114}-8 q^{112}+9 q^{110}-7 q^{108}+5 q^{104}-13 q^{102}+15 q^{100}-11 q^{98}+2 q^{96}+6 q^{94}-11 q^{92}+11 q^{90}-6 q^{88}-4 q^{86}+8 q^{84}-13 q^{82}+7 q^{80}+2 q^{78}-12 q^{76}+18 q^{74}-14 q^{72}+8 q^{70}+2 q^{68}-11 q^{66}+14 q^{64}-19 q^{62}+15 q^{60}-3 q^{58}-4 q^{56}+10 q^{54}-14 q^{52}+14 q^{50}-q^{48}-5 q^{46}+5 q^{44}-9 q^{42}+9 q^{40}+8 q^{38}-13 q^{36}+14 q^{34}-7 q^{32}+3 q^{30}+10 q^{28}-16 q^{26}+11 q^{24}-6 q^{22}+5 q^{20}+2 q^{18}-8 q^{16}+7 q^{14}-3 q^{12}+3 q^{10}-q^8-q^6-q^4-q^2+1- q^{-2} + q^{-4} }