Data:9 41/A-polynomial

From Knot Atlas
Jump to: navigation, search

L^{15} M^{52}+M^{38}+L \left(-M^{50}+3 M^{48}-11 M^{42}+54 M^{38}-61 M^{36}+9 M^{34}+29 M^{32}-22 M^{30}+9 M^{28}-2 M^{26}\right)+L^2 \left(M^{58}-8 M^{56}+33 M^{54}-24 M^{52}-124 M^{50}+232 M^{48}+M^{46}-264 M^{44}+155 M^{42}+148 M^{40}-239 M^{38}-139 M^{36}+545 M^{34}-286 M^{32}-186 M^{30}+209 M^{28}+77 M^{26}-264 M^{24}+246 M^{22}-132 M^{20}+44 M^{18}-9 M^{16}+M^{14}\right)+L^{14} \left(-2 M^{64}+9 M^{62}-22 M^{60}+29 M^{58}+9 M^{56}-61 M^{54}+54 M^{52}-11 M^{48}+3 M^{42}-M^{40}\right)+L^3 \left(5 M^{64}-40 M^{62}+137 M^{60}-145 M^{58}-510 M^{56}+1397 M^{54}+447 M^{52}-4390 M^{50}+2165 M^{48}+5879 M^{46}-4298 M^{44}-7252 M^{42}+7676 M^{40}+3868 M^{38}-5826 M^{36}-2686 M^{34}+4990 M^{32}-616 M^{30}-709 M^{28}-950 M^{26}+1245 M^{24}-273 M^{22}-87 M^{20}-332 M^{18}+647 M^{16}-516 M^{14}+239 M^{12}-69 M^{10}+12 M^8-M^6\right)+L^4 \left(10 M^{70}-100 M^{68}+384 M^{66}-581 M^{64}-451 M^{62}+2353 M^{60}+1267 M^{58}-11570 M^{56}+5333 M^{54}+21065 M^{52}-8822 M^{50}-39236 M^{48}+16065 M^{46}+46774 M^{44}-6166 M^{42}-60070 M^{40}+6829 M^{38}+52691 M^{36}-1030 M^{34}-49663 M^{32}+14521 M^{30}+27056 M^{28}-14306 M^{26}-13994 M^{24}+16233 M^{22}-2096 M^{20}-4947 M^{18}+2148 M^{16}+1494 M^{14}-2060 M^{12}+1139 M^{10}-390 M^8+89 M^6-13 M^4+M^2\right)+L^{13} \left(M^{76}-9 M^{74}+44 M^{72}-132 M^{70}+246 M^{68}-264 M^{66}+77 M^{64}+209 M^{62}-186 M^{60}-286 M^{58}+545 M^{56}-139 M^{54}-239 M^{52}+148 M^{50}+155 M^{48}-264 M^{46}+M^{44}+232 M^{42}-124 M^{40}-24 M^{38}+33 M^{36}-8 M^{34}+M^{32}\right)+L^5 \left(10 M^{76}-125 M^{74}+616 M^{72}-1448 M^{70}+1252 M^{68}+868 M^{66}-51 M^{64}-7907 M^{62}+6845 M^{60}+10651 M^{58}+5636 M^{56}-41465 M^{54}-27610 M^{52}+80365 M^{50}+106498 M^{48}-173585 M^{46}-162238 M^{44}+241603 M^{42}+195138 M^{40}-303542 M^{38}-115415 M^{36}+266193 M^{34}+27219 M^{32}-200077 M^{30}+61364 M^{28}+87490 M^{26}-62387 M^{24}-25073 M^{22}+43763 M^{20}-10613 M^{18}-9544 M^{16}+5840 M^{14}+1502 M^{12}-3196 M^{10}+1854 M^8-625 M^6+133 M^4-17 M^2+1\right)+L^6 \left(5 M^{82}-76 M^{80}+482 M^{78}-1633 M^{76}+3044 M^{74}-2350 M^{72}-1815 M^{70}+4093 M^{68}+4705 M^{66}-22575 M^{64}+26435 M^{62}+16209 M^{60}-73896 M^{58}-11087 M^{56}+215317 M^{54}-79778 M^{52}-362660 M^{50}+164600 M^{48}+533658 M^{46}-296314 M^{44}-527165 M^{42}+317562 M^{40}+426459 M^{38}-326061 M^{36}-193958 M^{34}+225232 M^{32}+50814 M^{30}-151983 M^{28}+45062 M^{26}+54050 M^{24}-35589 M^{22}-21142 M^{20}+28577 M^{18}-4938 M^{16}-5893 M^{14}+1587 M^{12}+2757 M^{10}-2627 M^8+1114 M^6-266 M^4+35 M^2-2\right)+L^{12} \left(-M^{84}+12 M^{82}-69 M^{80}+239 M^{78}-516 M^{76}+647 M^{74}-332 M^{72}-87 M^{70}-273 M^{68}+1245 M^{66}-950 M^{64}-709 M^{62}-616 M^{60}+4990 M^{58}-2686 M^{56}-5826 M^{54}+3868 M^{52}+7676 M^{50}-7252 M^{48}-4298 M^{46}+5879 M^{44}+2165 M^{42}-4390 M^{40}+447 M^{38}+1397 M^{36}-510 M^{34}-145 M^{32}+137 M^{30}-40 M^{28}+5 M^{26}\right)+L^7 \left(M^{88}-18 M^{86}+144 M^{84}-665 M^{82}+1901 M^{80}-3206 M^{78}+2081 M^{76}+2738 M^{74}-4516 M^{72}-7388 M^{70}+25100 M^{68}-19419 M^{66}-11009 M^{64}+20096 M^{62}+2994 M^{60}-23756 M^{58}+73965 M^{56}-107964 M^{54}-90040 M^{52}+279075 M^{50}+133149 M^{48}-567723 M^{46}-45050 M^{44}+710497 M^{42}-13068 M^{40}-754320 M^{38}+152729 M^{36}+550598 M^{34}-183831 M^{32}-333147 M^{30}+201580 M^{28}+104878 M^{26}-117354 M^{24}-15106 M^{22}+60307 M^{20}-22841 M^{18}-8096 M^{16}+8134 M^{14}+635 M^{12}-3713 M^{10}+2411 M^8-838 M^6+173 M^4-20 M^2+1\right)+L^{11} \left(M^{88}-13 M^{86}+89 M^{84}-390 M^{82}+1139 M^{80}-2060 M^{78}+1494 M^{76}+2148 M^{74}-4947 M^{72}-2096 M^{70}+16233 M^{68}-13994 M^{66}-14306 M^{64}+27056 M^{62}+14521 M^{60}-49663 M^{58}-1030 M^{56}+52691 M^{54}+6829 M^{52}-60070 M^{50}-6166 M^{48}+46774 M^{46}+16065 M^{44}-39236 M^{42}-8822 M^{40}+21065 M^{38}+5333 M^{36}-11570 M^{34}+1267 M^{32}+2353 M^{30}-451 M^{28}-581 M^{26}+384 M^{24}-100 M^{22}+10 M^{20}\right)+L^9 \left(-2 M^{90}+35 M^{88}-266 M^{86}+1114 M^{84}-2627 M^{82}+2757 M^{80}+1587 M^{78}-5893 M^{76}-4938 M^{74}+28577 M^{72}-21142 M^{70}-35589 M^{68}+54050 M^{66}+45062 M^{64}-151983 M^{62}+50814 M^{60}+225232 M^{58}-193958 M^{56}-326061 M^{54}+426459 M^{52}+317562 M^{50}-527165 M^{48}-296314 M^{46}+533658 M^{44}+164600 M^{42}-362660 M^{40}-79778 M^{38}+215317 M^{36}-11087 M^{34}-73896 M^{32}+16209 M^{30}+26435 M^{28}-22575 M^{26}+4705 M^{24}+4093 M^{22}-1815 M^{20}-2350 M^{18}+3044 M^{16}-1633 M^{14}+482 M^{12}-76 M^{10}+5 M^8\right)+L^8 \left(M^{90}-20 M^{88}+173 M^{86}-838 M^{84}+2411 M^{82}-3713 M^{80}+635 M^{78}+8134 M^{76}-8096 M^{74}-22841 M^{72}+60307 M^{70}-15106 M^{68}-117354 M^{66}+104878 M^{64}+201580 M^{62}-333147 M^{60}-183831 M^{58}+550598 M^{56}+152729 M^{54}-754320 M^{52}-13068 M^{50}+710497 M^{48}-45050 M^{46}-567723 M^{44}+133149 M^{42}+279075 M^{40}-90040 M^{38}-107964 M^{36}+73965 M^{34}-23756 M^{32}+2994 M^{30}+20096 M^{28}-11009 M^{26}-19419 M^{24}+25100 M^{22}-7388 M^{20}-4516 M^{18}+2738 M^{16}+2081 M^{14}-3206 M^{12}+1901 M^{10}-665 M^8+144 M^6-18 M^4+M^2\right)+L^{10} \left(M^{90}-17 M^{88}+133 M^{86}-625 M^{84}+1854 M^{82}-3196 M^{80}+1502 M^{78}+5840 M^{76}-9544 M^{74}-10613 M^{72}+43763 M^{70}-25073 M^{68}-62387 M^{66}+87490 M^{64}+61364 M^{62}-200077 M^{60}+27219 M^{58}+266193 M^{56}-115415 M^{54}-303542 M^{52}+195138 M^{50}+241603 M^{48}-162238 M^{46}-173585 M^{44}+106498 M^{42}+80365 M^{40}-27610 M^{38}-41465 M^{36}+5636 M^{34}+10651 M^{32}+6845 M^{30}-7907 M^{28}-51 M^{26}+868 M^{24}+1252 M^{22}-1448 M^{20}+616 M^{18}-125 M^{16}+10 M^{14}\right)