Data:9 19/A-polynomial

From Knot Atlas
Jump to: navigation, search

L^{20} M^{52}+M^{52}+L \left(-4 M^{60}+17 M^{58}-27 M^{56}+2 M^{54}+52 M^{52}-21 M^{50}-7 M^{48}+18 M^{46}-14 M^{44}+4 M^{42}\right)+L^{19} \left(4 M^{62}-14 M^{60}+18 M^{58}-7 M^{56}-21 M^{54}+52 M^{52}+2 M^{50}-27 M^{48}+17 M^{46}-4 M^{44}\right)+L^2 \left(6 M^{68}-48 M^{66}+152 M^{64}-199 M^{62}-35 M^{60}+369 M^{58}-296 M^{56}-119 M^{54}+227 M^{52}+181 M^{50}+367 M^{48}-440 M^{46}-313 M^{44}+458 M^{42}-39 M^{40}-162 M^{38}+115 M^{36}-40 M^{34}+6 M^{32}\right)+L^{18} \left(6 M^{72}-40 M^{70}+115 M^{68}-162 M^{66}-39 M^{64}+458 M^{62}-313 M^{60}-440 M^{58}+367 M^{56}+181 M^{54}+227 M^{52}-119 M^{50}-296 M^{48}+369 M^{46}-35 M^{44}-199 M^{42}+152 M^{40}-48 M^{38}+6 M^{36}\right)+L^3 \left(-4 M^{76}+45 M^{74}-212 M^{72}+540 M^{70}-820 M^{68}+626 M^{66}+858 M^{64}-3704 M^{62}+3158 M^{60}+5074 M^{58}-9331 M^{56}-3215 M^{54}+11951 M^{52}+2368 M^{50}-8096 M^{48}-1215 M^{46}+4126 M^{44}-27 M^{42}-2032 M^{40}+1270 M^{38}+427 M^{36}-1124 M^{34}+385 M^{32}+336 M^{30}-372 M^{28}+162 M^{26}-38 M^{24}+4 M^{22}\right)+L^{17} \left(4 M^{82}-38 M^{80}+162 M^{78}-372 M^{76}+336 M^{74}+385 M^{72}-1124 M^{70}+427 M^{68}+1270 M^{66}-2032 M^{64}-27 M^{62}+4126 M^{60}-1215 M^{58}-8096 M^{56}+2368 M^{54}+11951 M^{52}-3215 M^{50}-9331 M^{48}+5074 M^{46}+3158 M^{44}-3704 M^{42}+858 M^{40}+626 M^{38}-820 M^{36}+540 M^{34}-212 M^{32}+45 M^{30}-4 M^{28}\right)+L^4 \left(M^{84}-14 M^{82}+93 M^{80}-413 M^{78}+1356 M^{76}-2937 M^{74}+2680 M^{72}+3372 M^{70}-10545 M^{68}+6228 M^{66}+6724 M^{64}-17258 M^{62}+22849 M^{60}+7246 M^{58}-60982 M^{56}+17935 M^{54}+73112 M^{52}-22818 M^{50}-42623 M^{48}+8183 M^{46}+13108 M^{44}+7888 M^{42}-4890 M^{40}-9007 M^{38}+5892 M^{36}+1350 M^{34}-2764 M^{32}+1162 M^{30}+126 M^{28}-303 M^{26}+256 M^{24}-394 M^{22}+385 M^{20}-208 M^{18}+66 M^{16}-12 M^{14}+M^{12}\right)+L^5 \left(-5 M^{88}+80 M^{86}-546 M^{84}+2060 M^{82}-4685 M^{80}+6353 M^{78}-2396 M^{76}-13791 M^{74}+35155 M^{72}-13276 M^{70}-72122 M^{68}+92248 M^{66}+38406 M^{64}-142086 M^{62}+102146 M^{60}+58866 M^{58}-286700 M^{56}+120087 M^{54}+376010 M^{52}-213512 M^{50}-273823 M^{48}+177088 M^{46}+105481 M^{44}-62292 M^{42}-3712 M^{40}-23670 M^{38}-12258 M^{36}+43026 M^{34}-3385 M^{32}-24320 M^{30}+7253 M^{28}+9614 M^{26}-5621 M^{24}-2433 M^{22}+2646 M^{20}+506 M^{18}-1571 M^{16}+913 M^{14}-270 M^{12}+43 M^{10}-3 M^8\right)+L^{16} \left(M^{92}-12 M^{90}+66 M^{88}-208 M^{86}+385 M^{84}-394 M^{82}+256 M^{80}-303 M^{78}+126 M^{76}+1162 M^{74}-2764 M^{72}+1350 M^{70}+5892 M^{68}-9007 M^{66}-4890 M^{64}+7888 M^{62}+13108 M^{60}+8183 M^{58}-42623 M^{56}-22818 M^{54}+73112 M^{52}+17935 M^{50}-60982 M^{48}+7246 M^{46}+22849 M^{44}-17258 M^{42}+6724 M^{40}+6228 M^{38}-10545 M^{36}+3372 M^{34}+2680 M^{32}-2937 M^{30}+1356 M^{28}-413 M^{26}+93 M^{24}-14 M^{22}+M^{20}\right)+L^6 \left(10 M^{92}-178 M^{90}+1344 M^{88}-5422 M^{86}+11652 M^{84}-8708 M^{82}-15376 M^{80}+38035 M^{78}-16628 M^{76}-38147 M^{74}+82654 M^{72}-66549 M^{70}-83767 M^{68}+193984 M^{66}-26945 M^{64}-100457 M^{62}+182505 M^{60}-366487 M^{58}-301526 M^{56}+908486 M^{54}+377502 M^{52}-1025207 M^{50}-329760 M^{48}+738630 M^{46}+268152 M^{44}-339720 M^{42}-208962 M^{40}+98548 M^{38}+142302 M^{36}-37901 M^{34}-63018 M^{32}+29343 M^{30}+8117 M^{28}-15853 M^{26}+13229 M^{24}-4539 M^{22}-4620 M^{20}+6398 M^{18}-1429 M^{16}-2825 M^{14}+2964 M^{12}-1381 M^{10}+357 M^8-50 M^6+3 M^4\right)+L^7 \left(-10 M^{96}+194 M^{94}-1615 M^{92}+7306 M^{90}-18062 M^{88}+16733 M^{86}+28364 M^{84}-84448 M^{82}+12420 M^{80}+185298 M^{78}-159276 M^{76}-227376 M^{74}+364796 M^{72}+211447 M^{70}-689093 M^{68}-205806 M^{66}+1372750 M^{64}+328535 M^{62}-2552588 M^{60}-553174 M^{58}+3622189 M^{56}+579883 M^{54}-3650688 M^{52}-34672 M^{50}+2553389 M^{48}-669335 M^{46}-857492 M^{44}+1086064 M^{42}-500171 M^{40}-951913 M^{38}+1026572 M^{36}+472141 M^{34}-884533 M^{32}-27225 M^{30}+474548 M^{28}-149166 M^{26}-147332 M^{24}+126294 M^{22}-5552 M^{20}-41142 M^{18}+21911 M^{16}+1605 M^{14}-7943 M^{12}+5502 M^{10}-2426 M^8+756 M^6-157 M^4+19 M^2-1\right)+L^{15} \left(-3 M^{96}+43 M^{94}-270 M^{92}+913 M^{90}-1571 M^{88}+506 M^{86}+2646 M^{84}-2433 M^{82}-5621 M^{80}+9614 M^{78}+7253 M^{76}-24320 M^{74}-3385 M^{72}+43026 M^{70}-12258 M^{68}-23670 M^{66}-3712 M^{64}-62292 M^{62}+105481 M^{60}+177088 M^{58}-273823 M^{56}-213512 M^{54}+376010 M^{52}+120087 M^{50}-286700 M^{48}+58866 M^{46}+102146 M^{44}-142086 M^{42}+38406 M^{40}+92248 M^{38}-72122 M^{36}-13276 M^{34}+35155 M^{32}-13791 M^{30}-2396 M^{28}+6353 M^{26}-4685 M^{24}+2060 M^{22}-546 M^{20}+80 M^{18}-5 M^{16}\right)+L^{14} \left(3 M^{100}-50 M^{98}+357 M^{96}-1381 M^{94}+2964 M^{92}-2825 M^{90}-1429 M^{88}+6398 M^{86}-4620 M^{84}-4539 M^{82}+13229 M^{80}-15853 M^{78}+8117 M^{76}+29343 M^{74}-63018 M^{72}-37901 M^{70}+142302 M^{68}+98548 M^{66}-208962 M^{64}-339720 M^{62}+268152 M^{60}+738630 M^{58}-329760 M^{56}-1025207 M^{54}+377502 M^{52}+908486 M^{50}-301526 M^{48}-366487 M^{46}+182505 M^{44}-100457 M^{42}-26945 M^{40}+193984 M^{38}-83767 M^{36}-66549 M^{34}+82654 M^{32}-38147 M^{30}-16628 M^{28}+38035 M^{26}-15376 M^{24}-8708 M^{22}+11652 M^{20}-5422 M^{18}+1344 M^{16}-178 M^{14}+10 M^{12}\right)+L^8 \left(5 M^{100}-104 M^{98}+945 M^{96}-4850 M^{94}+14883 M^{92}-24604 M^{90}+4482 M^{88}+68296 M^{86}-113511 M^{84}-46306 M^{82}+355469 M^{80}-265203 M^{78}-536627 M^{76}+952854 M^{74}+437986 M^{72}-1942178 M^{70}-78715 M^{68}+2940045 M^{66}+67646 M^{64}-3509115 M^{62}-1023448 M^{60}+2907287 M^{58}+2669110 M^{56}-826705 M^{54}-3891886 M^{52}-1890015 M^{50}+4213328 M^{48}+4100108 M^{46}-3501472 M^{44}-4572706 M^{42}+2418589 M^{40}+3389843 M^{38}-1440577 M^{36}-1688435 M^{34}+698627 M^{32}+456806 M^{30}-181286 M^{28}+9365 M^{26}-60064 M^{24}-42537 M^{22}+99358 M^{20}-25612 M^{18}-35707 M^{16}+28384 M^{14}-106 M^{12}-11466 M^{10}+8273 M^8-3073 M^6+664 M^4-79 M^2+4\right)+L^{11} \left(-6 M^{104}+123 M^{102}-1080 M^{100}+5236 M^{98}-14624 M^{96}+19480 M^{94}+10226 M^{92}-79573 M^{90}+71919 M^{88}+173722 M^{86}-399286 M^{84}-156028 M^{82}+1130756 M^{80}-109135 M^{78}-2530249 M^{76}+713406 M^{74}+4655682 M^{72}-1216809 M^{70}-7088999 M^{68}+637488 M^{66}+8491031 M^{64}+2050508 M^{62}-7245308 M^{60}-6553719 M^{58}+2607011 M^{56}+10775355 M^{54}+4079064 M^{52}-12184454 M^{50}-9681845 M^{48}+10731201 M^{46}+12261588 M^{44}-7760710 M^{42}-11344602 M^{40}+5157495 M^{38}+8161481 M^{36}-3569124 M^{34}-4601955 M^{32}+2525290 M^{30}+1884740 M^{28}-1540486 M^{26}-421638 M^{24}+709097 M^{22}-82897 M^{20}-187396 M^{18}+94190 M^{16}+9034 M^{14}-29271 M^{12}+16578 M^{10}-5706 M^8+1359 M^6-221 M^4+22 M^2-1\right)+L^{13} \left(-M^{104}+19 M^{102}-157 M^{100}+756 M^{98}-2426 M^{96}+5502 M^{94}-7943 M^{92}+1605 M^{90}+21911 M^{88}-41142 M^{86}-5552 M^{84}+126294 M^{82}-147332 M^{80}-149166 M^{78}+474548 M^{76}-27225 M^{74}-884533 M^{72}+472141 M^{70}+1026572 M^{68}-951913 M^{66}-500171 M^{64}+1086064 M^{62}-857492 M^{60}-669335 M^{58}+2553389 M^{56}-34672 M^{54}-3650688 M^{52}+579883 M^{50}+3622189 M^{48}-553174 M^{46}-2552588 M^{44}+328535 M^{42}+1372750 M^{40}-205806 M^{38}-689093 M^{36}+211447 M^{34}+364796 M^{32}-227376 M^{30}-159276 M^{28}+185298 M^{26}+12420 M^{24}-84448 M^{22}+28364 M^{20}+16733 M^{18}-18062 M^{16}+7306 M^{14}-1615 M^{12}+194 M^{10}-10 M^8\right)+L^9 \left(-M^{104}+22 M^{102}-221 M^{100}+1359 M^{98}-5706 M^{96}+16578 M^{94}-29271 M^{92}+9034 M^{90}+94190 M^{88}-187396 M^{86}-82897 M^{84}+709097 M^{82}-421638 M^{80}-1540486 M^{78}+1884740 M^{76}+2525290 M^{74}-4601955 M^{72}-3569124 M^{70}+8161481 M^{68}+5157495 M^{66}-11344602 M^{64}-7760710 M^{62}+12261588 M^{60}+10731201 M^{58}-9681845 M^{56}-12184454 M^{54}+4079064 M^{52}+10775355 M^{50}+2607011 M^{48}-6553719 M^{46}-7245308 M^{44}+2050508 M^{42}+8491031 M^{40}+637488 M^{38}-7088999 M^{36}-1216809 M^{34}+4655682 M^{32}+713406 M^{30}-2530249 M^{28}-109135 M^{26}+1130756 M^{24}-156028 M^{22}-399286 M^{20}+173722 M^{18}+71919 M^{16}-79573 M^{14}+10226 M^{12}+19480 M^{10}-14624 M^8+5236 M^6-1080 M^4+123 M^2-6\right)+L^{10} \left(4 M^{104}-85 M^{102}+786 M^{100}-4124 M^{98}+13194 M^{96}-24128 M^{94}+11219 M^{92}+60450 M^{90}-139115 M^{88}-10015 M^{86}+483086 M^{84}-472805 M^{82}-975707 M^{80}+1774970 M^{78}+1581600 M^{76}-4238332 M^{74}-2543966 M^{72}+7639657 M^{70}+4972515 M^{68}-10975190 M^{66}-10175635 M^{64}+12346275 M^{62}+18046761 M^{60}-10087391 M^{58}-25770109 M^{56}+3990718 M^{54}+29175490 M^{52}+3990718 M^{50}-25770109 M^{48}-10087391 M^{46}+18046761 M^{44}+12346275 M^{42}-10175635 M^{40}-10975190 M^{38}+4972515 M^{36}+7639657 M^{34}-2543966 M^{32}-4238332 M^{30}+1581600 M^{28}+1774970 M^{26}-975707 M^{24}-472805 M^{22}+483086 M^{20}-10015 M^{18}-139115 M^{16}+60450 M^{14}+11219 M^{12}-24128 M^{10}+13194 M^8-4124 M^6+786 M^4-85 M^2+4\right)+L^{12} \left(4 M^{104}-79 M^{102}+664 M^{100}-3073 M^{98}+8273 M^{96}-11466 M^{94}-106 M^{92}+28384 M^{90}-35707 M^{88}-25612 M^{86}+99358 M^{84}-42537 M^{82}-60064 M^{80}+9365 M^{78}-181286 M^{76}+456806 M^{74}+698627 M^{72}-1688435 M^{70}-1440577 M^{68}+3389843 M^{66}+2418589 M^{64}-4572706 M^{62}-3501472 M^{60}+4100108 M^{58}+4213328 M^{56}-1890015 M^{54}-3891886 M^{52}-826705 M^{50}+2669110 M^{48}+2907287 M^{46}-1023448 M^{44}-3509115 M^{42}+67646 M^{40}+2940045 M^{38}-78715 M^{36}-1942178 M^{34}+437986 M^{32}+952854 M^{30}-536627 M^{28}-265203 M^{26}+355469 M^{24}-46306 M^{22}-113511 M^{20}+68296 M^{18}+4482 M^{16}-24604 M^{14}+14883 M^{12}-4850 M^{10}+945 M^8-104 M^6+5 M^4\right)