10 148 Quantum Invariants

Further quantum knot invariants for 10_148.

A1 Invariants.

Weight	Invariant
1	$-q^{17}+q^{15}-2q^{13}+q^{11}+q^{7}+2q^{5}-q^{3}+2q-q^{-1}$
2	$q^{48}-q^{46}-q^{44}+4q^{42}-q^{40}-6q^{38}+5q^{36}+3q^{34}-8q^{32}+q^{30}+5q^{28}-5q^{26}-2q^{24}+4q^{22}-3q^{18}+q^{16}+7q^{14}-4q^{12}-3q^{10}+9q^{8}-2q^{6}-5q^{4}+5q^{2}+1-2q^{-2}$
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}-3 q^{85}+q^{83}+7 q^{81}+q^{79}-11 q^{77}-7 q^{75}+12 q^{73}+18 q^{71}-8 q^{69}-24 q^{67}-2 q^{65}+26 q^{63}+14 q^{61}-25 q^{59}-21 q^{57}+17 q^{55}+26 q^{53}-11 q^{51}-26 q^{49}+3 q^{47}+24 q^{45}-q^{43}-18 q^{41}-6 q^{39}+13 q^{37}+9 q^{35}-9 q^{33}-17 q^{31}+3 q^{29}+24 q^{27}+5 q^{25}-25 q^{23}-13 q^{21}+29 q^{19}+21 q^{17}-21 q^{15}-24 q^{13}+12 q^{11}+24 q^9-q^7-18 q^5-3 q^3+8 q+7 q^{-1} -2 q^{-3} -4 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^{213}+q^{211}+4 q^{209}-q^{207}-6 q^{205}-5 q^{203}-3 q^{201}+7 q^{199}+19 q^{197}+18 q^{195}-7 q^{193}-34 q^{191}-43 q^{189}-21 q^{187}+34 q^{185}+82 q^{183}+80 q^{181}+3 q^{179}-100 q^{177}-154 q^{175}-100 q^{173}+51 q^{171}+208 q^{169}+238 q^{167}+73 q^{165}-179 q^{163}-345 q^{161}-273 q^{159}+37 q^{157}+376 q^{155}+471 q^{153}+190 q^{151}-277 q^{149}-584 q^{147}-454 q^{145}+64 q^{143}+584 q^{141}+659 q^{139}+189 q^{137}-452 q^{135}-754 q^{133}-435 q^{131}+258 q^{129}+735 q^{127}+587 q^{125}-53 q^{123}-619 q^{121}-641 q^{119}-108 q^{117}+477 q^{115}+596 q^{113}+203 q^{111}-328 q^{109}-510 q^{107}-222 q^{105}+215 q^{103}+398 q^{101}+212 q^{99}-134 q^{97}-312 q^{95}-182 q^{93}+88 q^{91}+240 q^{89}+173 q^{87}-44 q^{85}-217 q^{83}-197 q^{81}-5 q^{79}+201 q^{77}+257 q^{75}+91 q^{73}-190 q^{71}-356 q^{69}-219 q^{67}+148 q^{65}+448 q^{63}+388 q^{61}-43 q^{59}-516 q^{57}-583 q^{55}-110 q^{53}+505 q^{51}+733 q^{49}+329 q^{47}-397 q^{45}-807 q^{43}-535 q^{41}+200 q^{39}+754 q^{37}+673 q^{35}+51 q^{33}-576 q^{31}-695 q^{29}-268 q^{27}+327 q^{25}+595 q^{23}+381 q^{21}-72 q^{19}-393 q^{17}-381 q^{15}-104 q^{13}+193 q^{11}+278 q^9+162 q^7-23 q^5-150 q^3-143 q-48 q^{-1} +48 q^{-3} +78 q^{-5} +54 q^{-7} +7 q^{-9} -27 q^{-11} -33 q^{-13} -15 q^{-15} +4 q^{-17} +8 q^{-19} +8 q^{-21} +3 q^{-23} -2 q^{-25} -2 q^{-27} }
6	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^{312}-q^{310}-q^{308}+q^{306}-2 q^{300}+3 q^{298}-4 q^{294}+3 q^{292}+4 q^{290}+4 q^{288}-5 q^{286}-q^{284}-9 q^{282}-18 q^{280}-2 q^{278}+17 q^{276}+36 q^{274}+24 q^{272}+23 q^{270}-24 q^{268}-81 q^{266}-87 q^{264}-47 q^{262}+47 q^{260}+115 q^{258}+195 q^{256}+142 q^{254}-27 q^{252}-218 q^{250}-336 q^{248}-285 q^{246}-92 q^{244}+298 q^{242}+561 q^{240}+567 q^{238}+236 q^{236}-296 q^{234}-790 q^{232}-996 q^{230}-545 q^{228}+252 q^{226}+1081 q^{224}+1421 q^{222}+1031 q^{220}-71 q^{218}-1389 q^{216}-1985 q^{214}-1561 q^{212}-115 q^{210}+1569 q^{208}+2619 q^{206}+2168 q^{204}+301 q^{202}-1848 q^{200}-3159 q^{198}-2641 q^{196}-518 q^{194}+2188 q^{192}+3668 q^{190}+2940 q^{188}+438 q^{186}-2487 q^{184}-3955 q^{182}-3058 q^{180}-123 q^{178}+2840 q^{176}+4015 q^{174}+2701 q^{172}-322 q^{170}-3053 q^{168}-3818 q^{166}-2022 q^{164}+898 q^{162}+3084 q^{160}+3170 q^{158}+1206 q^{156}-1361 q^{154}-2857 q^{152}-2277 q^{150}-351 q^{148}+1604 q^{146}+2265 q^{144}+1365 q^{142}-303 q^{140}-1563 q^{138}-1537 q^{136}-543 q^{134}+689 q^{132}+1242 q^{130}+882 q^{128}-34 q^{126}-822 q^{124}-902 q^{122}-366 q^{120}+416 q^{118}+821 q^{116}+667 q^{114}+20 q^{112}-669 q^{110}-933 q^{108}-573 q^{106}+272 q^{104}+984 q^{102}+1182 q^{100}+553 q^{98}-563 q^{96}-1538 q^{94}-1584 q^{92}-480 q^{90}+1074 q^{88}+2227 q^{86}+1977 q^{84}+342 q^{82}-1865 q^{80}-3036 q^{78}-2226 q^{76}+108 q^{74}+2696 q^{72}+3684 q^{70}+2333 q^{68}-781 q^{66}-3493 q^{64}-4023 q^{62}-2045 q^{60}+1366 q^{58}+3933 q^{56}+4082 q^{54}+1550 q^{52}-1814 q^{50}-3942 q^{48}-3658 q^{46}-1135 q^{44}+1901 q^{42}+3640 q^{40}+3001 q^{38}+757 q^{36}-1674 q^{34}-2929 q^{32}-2368 q^{30}-556 q^{28}+1334 q^{26}+2124 q^{24}+1705 q^{22}+458 q^{20}-832 q^{18}-1437 q^{16}-1168 q^{14}-341 q^{12}+420 q^{10}+829 q^8+745 q^6+300 q^4-182 q^2-431-401 q^{-2} -216 q^{-4} +24 q^{-6} +187 q^{-8} +209 q^{-10} +120 q^{-12} +16 q^{-14} -54 q^{-16} -83 q^{-18} -63 q^{-20} -17 q^{-22} +13 q^{-24} +21 q^{-26} +18 q^{-28} +11 q^{-30} +2 q^{-32} -6 q^{-34} -3 q^{-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}-2 q^{20}-q^{18}+q^{16}+3 q^{12}+q^{10}+2 q^8+q^6-q^4+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}+6 q^{64}-12 q^{62}+21 q^{60}-32 q^{58}+48 q^{56}-60 q^{54}+64 q^{52}-66 q^{50}+54 q^{48}-30 q^{46}-3 q^{44}+38 q^{42}-70 q^{40}+98 q^{38}-118 q^{36}+118 q^{34}-120 q^{32}+96 q^{30}-77 q^{28}+44 q^{26}-8 q^{24}-16 q^{22}+54 q^{20}-60 q^{18}+72 q^{16}-60 q^{14}+53 q^{12}-36 q^{10}+20 q^8-12 q^6+6 q^4-2 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}+2 q^{56}+2 q^{54}-q^{52}-q^{50}+q^{46}-6 q^{44}-5 q^{42}-2 q^{38}-2 q^{36}-q^{34}+3 q^{32}+q^{28}+3 q^{26}+3 q^{24}+4 q^{20}+4 q^{18}-2 q^{16}+3 q^{12}+q^{10}-2 q^8-q^6+3 q^4-2}

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^{50}+2 q^{48}-3 q^{46}+2 q^{44}+2 q^{42}-6 q^{40}+3 q^{38}-8 q^{34}-2 q^{32}-2 q^{30}-4 q^{28}-q^{26}+4 q^{24}+6 q^{22}+5 q^{20}+3 q^{18}+9 q^{16}-q^{14}-3 q^{12}+5 q^{10}-4 q^8-4 q^6+3 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}-3 q^{27}-q^{25}-2 q^{23}+q^{21}+q^{19}+3 q^{17}+3 q^{15}+2 q^{13}+2 q^{11}+q^7-2 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}+5 q^{84}-5 q^{82}+2 q^{80}+7 q^{78}-19 q^{76}+28 q^{74}-23 q^{72}+5 q^{70}+22 q^{68}-51 q^{66}+60 q^{64}-51 q^{62}+22 q^{60}+20 q^{58}-47 q^{56}+68 q^{54}-52 q^{52}+31 q^{50}-14 q^{48}-8 q^{46}-19 q^{44}-4 q^{42}-14 q^{40}-33 q^{38}+53 q^{36}-67 q^{34}+76 q^{32}-21 q^{30}+10 q^{28}+56 q^{26}-50 q^{24}+59 q^{22}-26 q^{20}-q^{18}+16 q^{16}-22 q^{14}+7 q^{12}+q^{10}-7 q^8+4 q^6-4 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^{64}+3 q^{62}+5 q^{56}+q^{54}-5 q^{52}-2 q^{50}-q^{48}-9 q^{46}-13 q^{44}-6 q^{42}-5 q^{40}-10 q^{38}-q^{36}+10 q^{34}+5 q^{32}+9 q^{30}+18 q^{28}+11 q^{26}+4 q^{24}+6 q^{22}+4 q^{20}-5 q^{18}-7 q^{16}-q^{12}-5 q^{10}-q^8+3 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}-3 q^{34}-2 q^{32}-2 q^{30}-2 q^{28}+q^{26}+q^{24}+4 q^{22}+3 q^{20}+4 q^{18}+2 q^{16}+2 q^{14}-2 q^6+q^4-q^2}

B2 Invariants.

Weight	Invariant
0,1	$-q^{54}+q^{52}-3q^{50}+4q^{48}-5q^{46}+6q^{44}-6q^{42}+4q^{40}-3q^{38}+2q^{34}-6q^{32}+8q^{30}-10q^{28}+11q^{26}-10q^{24}+10q^{22}-5q^{20}+5q^{18}+q^{16}-q^{14}+5q^{12}-5q^{10}+6q^{8}-6q^{6}+5q^{4}-3q^{2}+1-q^{-2}$
1,0	$q^{88}-q^{84}-q^{82}+2q^{80}+3q^{78}-q^{76}-4q^{74}-q^{72}+5q^{70}+4q^{68}-5q^{66}-6q^{64}+q^{62}+6q^{60}-7q^{56}-4q^{54}+2q^{52}+q^{50}-4q^{48}-4q^{46}+q^{44}+4q^{42}-3q^{38}+q^{36}+7q^{34}+4q^{32}-q^{30}-2q^{28}+6q^{26}+6q^{24}-q^{22}-6q^{20}+q^{18}+6q^{16}+2q^{14}-5q^{12}-5q^{10}+q^{8}+4q^{6}-2q^{2}-1+q^{-4}$

D4 Invariants.

Weight	Invariant
1,0,0,0	$q^{74}-q^{72}+2q^{70}-2q^{68}+4q^{66}-4q^{64}+4q^{62}-5q^{60}+5q^{58}-4q^{56}+2q^{54}-2q^{52}-q^{50}-q^{48}-8q^{46}+q^{44}-10q^{42}+3q^{40}-11q^{38}+8q^{36}-5q^{34}+13q^{32}+11q^{28}+3q^{26}+8q^{24}+4q^{22}-q^{20}+2q^{18}-5q^{16}+4q^{14}-6q^{12}+2q^{10}-6q^{8}+4q^{6}-2q^{4}+q^{2}-1+q^{-2}$

G2 Invariants.

Weight

Invariant

1,0

$q^{128}-q^{126}+3q^{124}-4q^{122}+3q^{120}-q^{118}-3q^{116}+9q^{114}-13q^{112}+15q^{110}-11q^{108}-q^{106}+12q^{104}-22q^{102}+25q^{100}-18q^{98}+3q^{96}+10q^{94}-23q^{92}+20q^{90}-11q^{88}-7q^{86}+17q^{84}-21q^{82}+10q^{80}+5q^{78}-21q^{76}+28q^{74}-25q^{72}+12q^{70}+4q^{68}-20q^{66}+31q^{64}-29q^{62}+22q^{60}-5q^{58}-8q^{56}+22q^{54}-24q^{52}+20q^{50}-5q^{48}-6q^{46}+19q^{44}-16q^{42}+7q^{40}+12q^{38}-21q^{36}+25q^{34}-14q^{32}-2q^{30}+17q^{28}-24q^{26}+24q^{24}-13q^{22}+2q^{20}+7q^{18}-13q^{16}+10q^{14}-7q^{12}+3q^{10}-2q^{6}-q^{2}+1-q^{-2}+q^{-4}$