https://katlas.org/api.php?action=feedcontributions&feedformat=atom&user=TomTom 2026-04-16T23:03:35Z User contributions MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:T(19,2)/Kauffman_Polynomial&diff=1323940 2006-07-05T13:52:41Z

<p>TomTom: computed with an OCaml program (1s @ 3.2 GHz)</p> <hr /> <div>&lt;math&gt;z^{18}a^{-18}+z^{18}a^{-20}+z^{17}a^{-19}+z^{17}a^{-21}-18z^{16}a^{-18}-17z^{16}a^{-20}+z^{16}a^{-22}-16z^{15}a^{-19}-15z^{15}a^{-21}+z^{15}a^{-23}+136z^{14}a^{-18}+121z^{14}a^{-20}-14z^{14}a^{-22}+z^{14}a^{-24}+105z^{13}a^{-19}+91z^{13}a^{-21}-13z^{13}a^{-23}+z^{13}a^{-25}-560z^{12}a^{-18}-469z^{12}a^{-20}+78z^{12}a^{-22}-12z^{12}a^{-24}+z^{12}a^{-26}-364z^{11}a^{-19}-286z^{11}a^{-21}+66z^{11}a^{-23}-11z^{11}a^{-25}+z^{11}a^{-27}+1365z^{10}a^{-18}+1079z^{10}a^{-20}-220z^{10}a^{-22}+55z^{10}a^{-24}-10z^{10}a^{-26}+z^{10}a^{-28}+715z^9a^{-19}+495z^9a^{-21}-165z^9a^{-23}+45z^9a^{-25}-9z^9a^{-27}+z^9a^{-29}-2002z^8a^{-18}-1507z^8a^{-20}+330z^8a^{-22}-120z^8a^{-24}+36z^8a^{-26}-8z^8a^{-28}+z^8a^{-30}-792z^7a^{-19}-462z^7a^{-21}+210z^7a^{-23}-84z^7a^{-25}+28z^7a^{-27}-7z^7a^{-29}+z^7a^{-31}+1716z^6a^{-18}+1254z^6a^{-20}-252z^6a^{-22}+126z^6a^{-24}-56z^6a^{-26}+21z^6a^{-28}-6z^6a^{-30}+z^6a^{-32}+462z^5a^{-19}+210z^5a^{-21}-126z^5a^{-23}+70z^5a^{-25}-35z^5a^{-27}+15z^5a^{-29}-5z^5a^{-31}+z^5a^{-33}-792z^4a^{-18}-582z^4a^{-20}+84z^4a^{-22}-56z^4a^{-24}+35z^4a^{-26}-20z^4a^{-28}+10z^4a^{-30}-4z^4a^{-32}+z^4a^{-34}-120z^3a^{-19}-36z^3a^{-21}+28z^3a^{-23}-21z^3a^{-25}+15z^3a^{-27}-10z^3a^{-29}+6z^3a^{-31}-3z^3a^{-33}+z^3a^{-35}+165z^2a^{-18}+129z^2a^{-20}-8z^2a^{-22}+7z^2a^{-24}-6z^2a^{-26}+5z^2a^{-28}-4z^2a^{-30}+3z^2a^{-32}-2z^2a^{-34}+z^2a^{-36}+9za^{-19}+za^{-21}-za^{-23}+za^{-25}-za^{-27}+za^{-29}-za^{-31}+za^{-33}-za^{-35}+za^{-37}-10a^{-18}-9a^{-20}&lt;/math&gt;</div>

TomTom https://katlas.org/index.php?title=Data:T(21,2)/Kauffman_Polynomial&diff=1323918 2006-07-05T13:51:51Z

<p>TomTom: computed with an OCaml program (2.8s @ 3.2 GHz)</p> <hr /> <div>&lt;math&gt;z^{20}a^{-20}+z^{20}a^{-22}+z^{19}a^{-21}+z^{19}a^{-23}-20z^{18}a^{-20}-19z^{18}a^{-22}+z^{18}a^{-24}-18z^{17}a^{-21}-17z^{17}a^{-23}+z^{17}a^{-25}+171z^{16}a^{-20}+154z^{16}a^{-22}-16z^{16}a^{-24}+z^{16}a^{-26}+136z^{15}a^{-21}+120z^{15}a^{-23}-15z^{15}a^{-25}+z^{15}a^{-27}-816z^{14}a^{-20}-696z^{14}a^{-22}+105z^{14}a^{-24}-14z^{14}a^{-26}+z^{14}a^{-28}-560z^{13}a^{-21}-455z^{13}a^{-23}+91z^{13}a^{-25}-13z^{13}a^{-27}+z^{13}a^{-29}+2380z^{12}a^{-20}+1925z^{12}a^{-22}-364z^{12}a^{-24}+78z^{12}a^{-26}-12z^{12}a^{-28}+z^{12}a^{-30}+1365z^{11}a^{-21}+1001z^{11}a^{-23}-286z^{11}a^{-25}+66z^{11}a^{-27}-11z^{11}a^{-29}+z^{11}a^{-31}-4368z^{10}a^{-20}-3367z^{10}a^{-22}+715z^{10}a^{-24}-220z^{10}a^{-26}+55z^{10}a^{-28}-10z^{10}a^{-30}+z^{10}a^{-32}-2002z^9a^{-21}-1287z^9a^{-23}+495z^9a^{-25}-165z^9a^{-27}+45z^9a^{-29}-9z^9a^{-31}+z^9a^{-33}+5005z^8a^{-20}+3718z^8a^{-22}-792z^8a^{-24}+330z^8a^{-26}-120z^8a^{-28}+36z^8a^{-30}-8z^8a^{-32}+z^8a^{-34}+1716z^7a^{-21}+924z^7a^{-23}-462z^7a^{-25}+210z^7a^{-27}-84z^7a^{-29}+28z^7a^{-31}-7z^7a^{-33}+z^7a^{-35}-3432z^6a^{-20}-2508z^6a^{-22}+462z^6a^{-24}-252z^6a^{-26}+126z^6a^{-28}-56z^6a^{-30}+21z^6a^{-32}-6z^6a^{-34}+z^6a^{-36}-792z^5a^{-21}-330z^5a^{-23}+210z^5a^{-25}-126z^5a^{-27}+70z^5a^{-29}-35z^5a^{-31}+15z^5a^{-33}-5z^5a^{-35}+z^5a^{-37}+1287z^4a^{-20}+957z^4a^{-22}-120z^4a^{-24}+84z^4a^{-26}-56z^4a^{-28}+35z^4a^{-30}-20z^4a^{-32}+10z^4a^{-34}-4z^4a^{-36}+z^4a^{-38}+165z^3a^{-21}+45z^3a^{-23}-36z^3a^{-25}+28z^3a^{-27}-21z^3a^{-29}+15z^3a^{-31}-10z^3a^{-33}+6z^3a^{-35}-3z^3a^{-37}+z^3a^{-39}-220z^2a^{-20}-175z^2a^{-22}+9z^2a^{-24}-8z^2a^{-26}+7z^2a^{-28}-6z^2a^{-30}+5z^2a^{-32}-4z^2a^{-34}+3z^2a^{-36}-2z^2a^{-38}+z^2a^{-40}-10za^{-21}-za^{-23}+za^{-25}-za^{-27}+za^{-29}-za^{-31}+za^{-33}-za^{-35}+za^{-37}-za^{-39}+za^{-41}+11a^{-20}+10a^{-22}&lt;/math&gt;</div>

TomTom https://katlas.org/index.php?title=Data:T(23,2)/Kauffman_Polynomial&diff=1323890 2006-07-05T13:50:44Z

<p>TomTom: typo</p> <hr /> <div>&lt;math&gt;z^{22}a^{-22}+z^{22}a^{-24}+z^{21}a^{-23}+z^{21}a^{-25}-22z^{20}a^{-22}-21z^{20}a^{-24}+z^{20}a^{-26}-20z^{19}a^{-23}-19z^{19}a^{-25}+z^{19}a^{-27}+210z^{18}a^{-22}+191z^{18}a^{-24}-18z^{18}a^{-26}+z^{18}a^{-28}+171z^{17}a^{-23}+153z^{17}a^{-25}-17z^{17}a^{-27}+z^{17}a^{-29}-1140z^{16}a^{-22}-987z^{16}a^{-24}+136z^{16}a^{-26}-16z^{16}a^{-28}+z^{16}a^{-30}-816z^{15}a^{-23}-680z^{15}a^{-25}+120z^{15}a^{-27}-15z^{15}a^{-29}+z^{15}a^{-31}+3876z^{14}a^{-22}+3196z^{14}a^{-24}-560z^{14}a^{-26}+105z^{14}a^{-28}-14z^{14}a^{-30}+z^{14}a^{-32}+2380z^{13}a^{-23}+1820z^{13}a^{-25}-455z^{13}a^{-27}+91z^{13}a^{-29}-13z^{13}a^{-31}+z^{13}a^{-33}-8568z^{12}a^{-22}-6748z^{12}a^{-24}+1365z^{12}a^{-26}-364z^{12}a^{-28}+78z^{12}a^{-30}-12z^{12}a^{-32}+z^{12}a^{-34}-4368z^{11}a^{-23}-3003z^{11}a^{-25}+1001z^{11}a^{-27}-286z^{11}a^{-29}+66z^{11}a^{-31}-11z^{11}a^{-33}+z^{11}a^{-35}+12376z^{10}a^{-22}+9373z^{10}a^{-24}-2002z^{10}a^{-26}+715z^{10}a^{-28}-220z^{10}a^{-30}+55z^{10}a^{-32}-10z^{10}a^{-34}+z^{10}a^{-36}+5005z^9a^{-23}+3003z^9a^{-25}-1287z^9a^{-27}+495z^9a^{-29}-165z^9a^{-31}+45z^9a^{-33}-9z^9a^{-35}+z^9a^{-37}-11440z^8a^{-22}-8437z^8a^{-24}+1716z^8a^{-26}-792z^8a^{-28}+330z^8a^{-30}-120z^8a^{-32}+36z^8a^{-34}-8z^8a^{-36}+z^8a^{-38}-3432z^7a^{-23}-1716z^7a^{-25}+924z^7a^{-27}-462z^7a^{-29}+210z^7a^{-31}-84z^7a^{-33}+28z^7a^{-35}-7z^7a^{-37}+z^7a^{-39}+6435z^6a^{-22}+4719z^6a^{-24}-792z^6a^{-26}+462z^6a^{-28}-252z^6a^{-30}+126z^6a^{-32}-56z^6a^{-34}+21z^6a^{-36}-6z^6a^{-38}+z^6a^{-40}+1287z^5a^{-23}+495z^5a^{-25}-330z^5a^{-27}+210z^5a^{-29}-126z^5a^{-31}+70z^5a^{-33}-35z^5a^{-35}+15z^5a^{-37}-5z^5a^{-39}+z^5a^{-41}-2002z^4a^{-22}-1507z^4a^{-24}+165z^4a^{-26}-120z^4a^{-28}+84z^4a^{-30}-56z^4a^{-32}+35z^4a^{-34}-20z^4a^{-36}+10z^4a^{-38}-4z^4a^{-40}+z^4a^{-42}-220z^3a^{-23}-55z^3a^{-25}+45z^3a^{-27}-36z^3a^{-29}+28z^3a^{-31}-21z^3a^{-33}+15z^3a^{-35}-10z^3a^{-37}+6z^3a^{-39}-3z^3a^{-41}+z^3a^{-43}+286z^2a^{-22}+231z^2a^{-24}-10z^2a^{-26}+9z^2a^{-28}-8z^2a^{-30}+7z^2a^{-32}-6z^2a^{-34}+5z^2a^{-36}-4z^2a^{-38}+3z^2a^{-40}-2z^2a^{-42}+z^2a^{-44}+11za^{-23}+za^{-25}-za^{-27}+za^{-29}-za^{-31}+za^{-33}-za^{-35}+za^{-37}-za^{-39}+za^{-41}-za^{-43}+za^{-45}-12a^{-22}-11a^{-24}&lt;/math&gt;</div>

TomTom https://katlas.org/index.php?title=Data:T(23,2)/Kauffman_Polynomial&diff=52467 2006-07-05T13:50:20Z

<p>TomTom: computed with an OCaml program (7.5s @ 3.2 GHz)</p> <hr /> <div>&lt;math&gt;&lt;/math&gt;z^{22}a^{-22}+z^{22}a^{-24}+z^{21}a^{-23}+z^{21}a^{-25}-22z^{20}a^{-22}-21z^{20}a^{-24}+z^{20}a^{-26}-20z^{19}a^{-23}-19z^{19}a^{-25}+z^{19}a^{-27}+210z^{18}a^{-22}+191z^{18}a^{-24}-18z^{18}a^{-26}+z^{18}a^{-28}+171z^{17}a^{-23}+153z^{17}a^{-25}-17z^{17}a^{-27}+z^{17}a^{-29}-1140z^{16}a^{-22}-987z^{16}a^{-24}+136z^{16}a^{-26}-16z^{16}a^{-28}+z^{16}a^{-30}-816z^{15}a^{-23}-680z^{15}a^{-25}+120z^{15}a^{-27}-15z^{15}a^{-29}+z^{15}a^{-31}+3876z^{14}a^{-22}+3196z^{14}a^{-24}-560z^{14}a^{-26}+105z^{14}a^{-28}-14z^{14}a^{-30}+z^{14}a^{-32}+2380z^{13}a^{-23}+1820z^{13}a^{-25}-455z^{13}a^{-27}+91z^{13}a^{-29}-13z^{13}a^{-31}+z^{13}a^{-33}-8568z^{12}a^{-22}-6748z^{12}a^{-24}+1365z^{12}a^{-26}-364z^{12}a^{-28}+78z^{12}a^{-30}-12z^{12}a^{-32}+z^{12}a^{-34}-4368z^{11}a^{-23}-3003z^{11}a^{-25}+1001z^{11}a^{-27}-286z^{11}a^{-29}+66z^{11}a^{-31}-11z^{11}a^{-33}+z^{11}a^{-35}+12376z^{10}a^{-22}+9373z^{10}a^{-24}-2002z^{10}a^{-26}+715z^{10}a^{-28}-220z^{10}a^{-30}+55z^{10}a^{-32}-10z^{10}a^{-34}+z^{10}a^{-36}+5005z^9a^{-23}+3003z^9a^{-25}-1287z^9a^{-27}+495z^9a^{-29}-165z^9a^{-31}+45z^9a^{-33}-9z^9a^{-35}+z^9a^{-37}-11440z^8a^{-22}-8437z^8a^{-24}+1716z^8a^{-26}-792z^8a^{-28}+330z^8a^{-30}-120z^8a^{-32}+36z^8a^{-34}-8z^8a^{-36}+z^8a^{-38}-3432z^7a^{-23}-1716z^7a^{-25}+924z^7a^{-27}-462z^7a^{-29}+210z^7a^{-31}-84z^7a^{-33}+28z^7a^{-35}-7z^7a^{-37}+z^7a^{-39}+6435z^6a^{-22}+4719z^6a^{-24}-792z^6a^{-26}+462z^6a^{-28}-252z^6a^{-30}+126z^6a^{-32}-56z^6a^{-34}+21z^6a^{-36}-6z^6a^{-38}+z^6a^{-40}+1287z^5a^{-23}+495z^5a^{-25}-330z^5a^{-27}+210z^5a^{-29}-126z^5a^{-31}+70z^5a^{-33}-35z^5a^{-35}+15z^5a^{-37}-5z^5a^{-39}+z^5a^{-41}-2002z^4a^{-22}-1507z^4a^{-24}+165z^4a^{-26}-120z^4a^{-28}+84z^4a^{-30}-56z^4a^{-32}+35z^4a^{-34}-20z^4a^{-36}+10z^4a^{-38}-4z^4a^{-40}+z^4a^{-42}-220z^3a^{-23}-55z^3a^{-25}+45z^3a^{-27}-36z^3a^{-29}+28z^3a^{-31}-21z^3a^{-33}+15z^3a^{-35}-10z^3a^{-37}+6z^3a^{-39}-3z^3a^{-41}+z^3a^{-43}+286z^2a^{-22}+231z^2a^{-24}-10z^2a^{-26}+9z^2a^{-28}-8z^2a^{-30}+7z^2a^{-32}-6z^2a^{-34}+5z^2a^{-36}-4z^2a^{-38}+3z^2a^{-40}-2z^2a^{-42}+z^2a^{-44}+11za^{-23}+za^{-25}-za^{-27}+za^{-29}-za^{-31}+za^{-33}-za^{-35}+za^{-37}-za^{-39}+za^{-41}-za^{-43}+za^{-45}-12a^{-22}-11a^{-24}</div>

TomTom https://katlas.org/index.php?title=Data:T(25,2)/Kauffman_Polynomial&diff=1323866 2006-07-05T13:49:29Z

<p>TomTom: computed with an OCaml program (20s @ 3.2 GHz)</p> <hr /> <div>&lt;math&gt;z^{24}a^{-24}+z^{24}a^{-26}+z^{23}a^{-25}+z^{23}a^{-27}-24z^{22}a^{-24}-23z^{22}a^{-26}+z^{22}a^{-28}-22z^{21}a^{-25}-21z^{21}a^{-27}+z^{21}a^{-29}+253z^{20}a^{-24}+232z^{20}a^{-26}-20z^{20}a^{-28}+z^{20}a^{-30}+210z^{19}a^{-25}+190z^{19}a^{-27}-19z^{19}a^{-29}+z^{19}a^{-31}-1540z^{18}a^{-24}-1350z^{18}a^{-26}+171z^{18}a^{-28}-18z^{18}a^{-30}+z^{18}a^{-32}-1140z^{17}a^{-25}-969z^{17}a^{-27}+153z^{17}a^{-29}-17z^{17}a^{-31}+z^{17}a^{-33}+5985z^{16}a^{-24}+5016z^{16}a^{-26}-816z^{16}a^{-28}+136z^{16}a^{-30}-16z^{16}a^{-32}+z^{16}a^{-34}+3876z^{15}a^{-25}+3060z^{15}a^{-27}-680z^{15}a^{-29}+120z^{15}a^{-31}-15z^{15}a^{-33}+z^{15}a^{-35}-15504z^{14}a^{-24}-12444z^{14}a^{-26}+2380z^{14}a^{-28}-560z^{14}a^{-30}+105z^{14}a^{-32}-14z^{14}a^{-34}+z^{14}a^{-36}-8568z^{13}a^{-25}-6188z^{13}a^{-27}+1820z^{13}a^{-29}-455z^{13}a^{-31}+91z^{13}a^{-33}-13z^{13}a^{-35}+z^{13}a^{-37}+27132z^{12}a^{-24}+20944z^{12}a^{-26}-4368z^{12}a^{-28}+1365z^{12}a^{-30}-364z^{12}a^{-32}+78z^{12}a^{-34}-12z^{12}a^{-36}+z^{12}a^{-38}+12376z^{11}a^{-25}+8008z^{11}a^{-27}-3003z^{11}a^{-29}+1001z^{11}a^{-31}-286z^{11}a^{-33}+66z^{11}a^{-35}-11z^{11}a^{-37}+z^{11}a^{-39}-31824z^{10}a^{-24}-23816z^{10}a^{-26}+5005z^{10}a^{-28}-2002z^{10}a^{-30}+715z^{10}a^{-32}-220z^{10}a^{-34}+55z^{10}a^{-36}-10z^{10}a^{-38}+z^{10}a^{-40}-11440z^9a^{-25}-6435z^9a^{-27}+3003z^9a^{-29}-1287z^9a^{-31}+495z^9a^{-33}-165z^9a^{-35}+45z^9a^{-37}-9z^9a^{-39}+z^9a^{-41}+24310z^8a^{-24}+17875z^8a^{-26}-3432z^8a^{-28}+1716z^8a^{-30}-792z^8a^{-32}+330z^8a^{-34}-120z^8a^{-36}+36z^8a^{-38}-8z^8a^{-40}+z^8a^{-42}+6435z^7a^{-25}+3003z^7a^{-27}-1716z^7a^{-29}+924z^7a^{-31}-462z^7a^{-33}+210z^7a^{-35}-84z^7a^{-37}+28z^7a^{-39}-7z^7a^{-41}+z^7a^{-43}-11440z^6a^{-24}-8437z^6a^{-26}+1287z^6a^{-28}-792z^6a^{-30}+462z^6a^{-32}-252z^6a^{-34}+126z^6a^{-36}-56z^6a^{-38}+21z^6a^{-40}-6z^6a^{-42}+z^6a^{-44}-2002z^5a^{-25}-715z^5a^{-27}+495z^5a^{-29}-330z^5a^{-31}+210z^5a^{-33}-126z^5a^{-35}+70z^5a^{-37}-35z^5a^{-39}+15z^5a^{-41}-5z^5a^{-43}+z^5a^{-45}+3003z^4a^{-24}+2288z^4a^{-26}-220z^4a^{-28}+165z^4a^{-30}-120z^4a^{-32}+84z^4a^{-34}-56z^4a^{-36}+35z^4a^{-38}-20z^4a^{-40}+10z^4a^{-42}-4z^4a^{-44}+z^4a^{-46}+286z^3a^{-25}+66z^3a^{-27}-55z^3a^{-29}+45z^3a^{-31}-36z^3a^{-33}+28z^3a^{-35}-21z^3a^{-37}+15z^3a^{-39}-10z^3a^{-41}+6z^3a^{-43}-3z^3a^{-45}+z^3a^{-47}-364z^2a^{-24}-298z^2a^{-26}+11z^2a^{-28}-10z^2a^{-30}+9z^2a^{-32}-8z^2a^{-34}+7z^2a^{-36}-6z^2a^{-38}+5z^2a^{-40}-4z^2a^{-42}+3z^2a^{-44}-2z^2a^{-46}+z^2a^{-48}-12za^{-25}-za^{-27}+za^{-29}-za^{-31}+za^{-33}-za^{-35}+za^{-37}-za^{-39}+za^{-41}-za^{-43}+za^{-45}-za^{-47}+za^{-49}+13a^{-24}+12a^{-26}&lt;/math&gt;</div>

TomTom https://katlas.org/index.php?title=Data:T(27,2)/Kauffman_Polynomial&diff=1323816 2006-07-05T13:47:13Z

<p>TomTom: computed with an OCaml program (53s @ 3.2 GHz)</p> <hr /> <div>&lt;math&gt;z^{26}a^{-26}+z^{26}a^{-28}+z^{25}a^{-27}+z^{25}a^{-29}-26z^{24}a^{-26}-25z^{24}a^{-28}+z^{24}a^{-30}-24z^{23}a^{-27}-23z^{23}a^{-29}+z^{23}a^{-31}+300z^{22}a^{-26}+277z^{22}a^{-28}-22z^{22}a^{-30}+z^{22}a^{-32}+253z^{21}a^{-27}+231z^{21}a^{-29}-21z^{21}a^{-31}+z^{21}a^{-33}-2024z^{20}a^{-26}-1793z^{20}a^{-28}+210z^{20}a^{-30}-20z^{20}a^{-32}+z^{20}a^{-34}-1540z^{19}a^{-27}-1330z^{19}a^{-29}+190z^{19}a^{-31}-19z^{19}a^{-33}+z^{19}a^{-35}+8855z^{18}a^{-26}+7525z^{18}a^{-28}-1140z^{18}a^{-30}+171z^{18}a^{-32}-18z^{18}a^{-34}+z^{18}a^{-36}+5985z^{17}a^{-27}+4845z^{17}a^{-29}-969z^{17}a^{-31}+153z^{17}a^{-33}-17z^{17}a^{-35}+z^{17}a^{-37}-26334z^{16}a^{-26}-21489z^{16}a^{-28}+3876z^{16}a^{-30}-816z^{16}a^{-32}+136z^{16}a^{-34}-16z^{16}a^{-36}+z^{16}a^{-38}-15504z^{15}a^{-27}-11628z^{15}a^{-29}+3060z^{15}a^{-31}-680z^{15}a^{-33}+120z^{15}a^{-35}-15z^{15}a^{-37}+z^{15}a^{-39}+54264z^{14}a^{-26}+42636z^{14}a^{-28}-8568z^{14}a^{-30}+2380z^{14}a^{-32}-560z^{14}a^{-34}+105z^{14}a^{-36}-14z^{14}a^{-38}+z^{14}a^{-40}+27132z^{13}a^{-27}+18564z^{13}a^{-29}-6188z^{13}a^{-31}+1820z^{13}a^{-33}-455z^{13}a^{-35}+91z^{13}a^{-37}-13z^{13}a^{-39}+z^{13}a^{-41}-77520z^{12}a^{-26}-58956z^{12}a^{-28}+12376z^{12}a^{-30}-4368z^{12}a^{-32}+1365z^{12}a^{-34}-364z^{12}a^{-36}+78z^{12}a^{-38}-12z^{12}a^{-40}+z^{12}a^{-42}-31824z^{11}a^{-27}-19448z^{11}a^{-29}+8008z^{11}a^{-31}-3003z^{11}a^{-33}+1001z^{11}a^{-35}-286z^{11}a^{-37}+66z^{11}a^{-39}-11z^{11}a^{-41}+z^{11}a^{-43}+75582z^{10}a^{-26}+56134z^{10}a^{-28}-11440z^{10}a^{-30}+5005z^{10}a^{-32}-2002z^{10}a^{-34}+715z^{10}a^{-36}-220z^{10}a^{-38}+55z^{10}a^{-40}-10z^{10}a^{-42}+z^{10}a^{-44}+24310z^9a^{-27}+12870z^9a^{-29}-6435z^9a^{-31}+3003z^9a^{-33}-1287z^9a^{-35}+495z^9a^{-37}-165z^9a^{-39}+45z^9a^{-41}-9z^9a^{-43}+z^9a^{-45}-48620z^8a^{-26}-35750z^8a^{-28}+6435z^8a^{-30}-3432z^8a^{-32}+1716z^8a^{-34}-792z^8a^{-36}+330z^8a^{-38}-120z^8a^{-40}+36z^8a^{-42}-8z^8a^{-44}+z^8a^{-46}-11440z^7a^{-27}-5005z^7a^{-29}+3003z^7a^{-31}-1716z^7a^{-33}+924z^7a^{-35}-462z^7a^{-37}+210z^7a^{-39}-84z^7a^{-41}+28z^7a^{-43}-7z^7a^{-45}+z^7a^{-47}+19448z^6a^{-26}+14443z^6a^{-28}-2002z^6a^{-30}+1287z^6a^{-32}-792z^6a^{-34}+462z^6a^{-36}-252z^6a^{-38}+126z^6a^{-40}-56z^6a^{-42}+21z^6a^{-44}-6z^6a^{-46}+z^6a^{-48}+3003z^5a^{-27}+1001z^5a^{-29}-715z^5a^{-31}+495z^5a^{-33}-330z^5a^{-35}+210z^5a^{-37}-126z^5a^{-39}+70z^5a^{-41}-35z^5a^{-43}+15z^5a^{-45}-5z^5a^{-47}+z^5a^{-49}-4368z^4a^{-26}-3367z^4a^{-28}+286z^4a^{-30}-220z^4a^{-32}+165z^4a^{-34}-120z^4a^{-36}+84z^4a^{-38}-56z^4a^{-40}+35z^4a^{-42}-20z^4a^{-44}+10z^4a^{-46}-4z^4a^{-48}+z^4a^{-50}-364z^3a^{-27}-78z^3a^{-29}+66z^3a^{-31}-55z^3a^{-33}+45z^3a^{-35}-36z^3a^{-37}+28z^3a^{-39}-21z^3a^{-41}+15z^3a^{-43}-10z^3a^{-45}+6z^3a^{-47}-3z^3a^{-49}+z^3a^{-51}+455z^2a^{-26}+377z^2a^{-28}-12z^2a^{-30}+11z^2a^{-32}-10z^2a^{-34}+9z^2a^{-36}-8z^2a^{-38}+7z^2a^{-40}-6z^2a^{-42}+5z^2a^{-44}-4z^2a^{-46}+3z^2a^{-48}-2z^2a^{-50}+z^2a^{-52}+13za^{-27}+za^{-29}-za^{-31}+za^{-33}-za^{-35}+za^{-37}-za^{-39}+za^{-41}-za^{-43}+za^{-45}-za^{-47}+za^{-49}-za^{-51}+za^{-53}-14a^{-26}-13a^{-28}&lt;/math&gt;</div>

TomTom https://katlas.org/index.php?title=Data:T(29,2)/Kauffman_Polynomial&diff=1323692 2006-07-05T13:40:31Z

<p>TomTom: computed with an OCaml program (138s @ 3.2 GHz)</p> <hr /> <div>&lt;math&gt;z^{28}a^{-28}+z^{28}a^{-30}+z^{27}a^{-29}+z^{27}a^{-31}-28z^{26}a^{-28}-27z^{26}a^{-30}+z^{26}a^{-32}-26z^{25}a^{-29}-25z^{25}a^{-31}+z^{25}a^{-33}+351z^{24}a^{-28}+326z^{24}a^{-30}-24z^{24}a^{-32}+z^{24}a^{-34}+300z^{23}a^{-29}+276z^{23}a^{-31}-23z^{23}a^{-33}+z^{23}a^{-35}-2600z^{22}a^{-28}-2324z^{22}a^{-30}+253z^{22}a^{-32}-22z^{22}a^{-34}+z^{22}a^{-36}-2024z^{21}a^{-29}-1771z^{21}a^{-31}+231z^{21}a^{-33}-21z^{21}a^{-35}+z^{21}a^{-37}+12650z^{20}a^{-28}+10879z^{20}a^{-30}-1540z^{20}a^{-32}+210z^{20}a^{-34}-20z^{20}a^{-36}+z^{20}a^{-38}+8855z^{19}a^{-29}+7315z^{19}a^{-31}-1330z^{19}a^{-33}+190z^{19}a^{-35}-19z^{19}a^{-37}+z^{19}a^{-39}-42504z^{18}a^{-28}-35189z^{18}a^{-30}+5985z^{18}a^{-32}-1140z^{18}a^{-34}+171z^{18}a^{-36}-18z^{18}a^{-38}+z^{18}a^{-40}-26334z^{17}a^{-29}-20349z^{17}a^{-31}+4845z^{17}a^{-33}-969z^{17}a^{-35}+153z^{17}a^{-37}-17z^{17}a^{-39}+z^{17}a^{-41}+100947z^{16}a^{-28}+80598z^{16}a^{-30}-15504z^{16}a^{-32}+3876z^{16}a^{-34}-816z^{16}a^{-36}+136z^{16}a^{-38}-16z^{16}a^{-40}+z^{16}a^{-42}+54264z^{15}a^{-29}+38760z^{15}a^{-31}-11628z^{15}a^{-33}+3060z^{15}a^{-35}-680z^{15}a^{-37}+120z^{15}a^{-39}-15z^{15}a^{-41}+z^{15}a^{-43}-170544z^{14}a^{-28}-131784z^{14}a^{-30}+27132z^{14}a^{-32}-8568z^{14}a^{-34}+2380z^{14}a^{-36}-560z^{14}a^{-38}+105z^{14}a^{-40}-14z^{14}a^{-42}+z^{14}a^{-44}-77520z^{13}a^{-29}-50388z^{13}a^{-31}+18564z^{13}a^{-33}-6188z^{13}a^{-35}+1820z^{13}a^{-37}-455z^{13}a^{-39}+91z^{13}a^{-41}-13z^{13}a^{-43}+z^{13}a^{-45}+203490z^{12}a^{-28}+153102z^{12}a^{-30}-31824z^{12}a^{-32}+12376z^{12}a^{-34}-4368z^{12}a^{-36}+1365z^{12}a^{-38}-364z^{12}a^{-40}+78z^{12}a^{-42}-12z^{12}a^{-44}+z^{12}a^{-46}+75582z^{11}a^{-29}+43758z^{11}a^{-31}-19448z^{11}a^{-33}+8008z^{11}a^{-35}-3003z^{11}a^{-37}+1001z^{11}a^{-39}-286z^{11}a^{-41}+66z^{11}a^{-43}-11z^{11}a^{-45}+z^{11}a^{-47}-167960z^{10}a^{-28}-124202z^{10}a^{-30}+24310z^{10}a^{-32}-11440z^{10}a^{-34}+5005z^{10}a^{-36}-2002z^{10}a^{-38}+715z^{10}a^{-40}-220z^{10}a^{-42}+55z^{10}a^{-44}-10z^{10}a^{-46}+z^{10}a^{-48}-48620z^9a^{-29}-24310z^9a^{-31}+12870z^9a^{-33}-6435z^9a^{-35}+3003z^9a^{-37}-1287z^9a^{-39}+495z^9a^{-41}-165z^9a^{-43}+45z^9a^{-45}-9z^9a^{-47}+z^9a^{-49}+92378z^8a^{-28}+68068z^8a^{-30}-11440z^8a^{-32}+6435z^8a^{-34}-3432z^8a^{-36}+1716z^8a^{-38}-792z^8a^{-40}+330z^8a^{-42}-120z^8a^{-44}+36z^8a^{-46}-8z^8a^{-48}+z^8a^{-50}+19448z^7a^{-29}+8008z^7a^{-31}-5005z^7a^{-33}+3003z^7a^{-35}-1716z^7a^{-37}+924z^7a^{-39}-462z^7a^{-41}+210z^7a^{-43}-84z^7a^{-45}+28z^7a^{-47}-7z^7a^{-49}+z^7a^{-51}-31824z^6a^{-28}-23816z^6a^{-30}+3003z^6a^{-32}-2002z^6a^{-34}+1287z^6a^{-36}-792z^6a^{-38}+462z^6a^{-40}-252z^6a^{-42}+126z^6a^{-44}-56z^6a^{-46}+21z^6a^{-48}-6z^6a^{-50}+z^6a^{-52}-4368z^5a^{-29}-1365z^5a^{-31}+1001z^5a^{-33}-715z^5a^{-35}+495z^5a^{-37}-330z^5a^{-39}+210z^5a^{-41}-126z^5a^{-43}+70z^5a^{-45}-35z^5a^{-47}+15z^5a^{-49}-5z^5a^{-51}+z^5a^{-53}+6188z^4a^{-28}+4823z^4a^{-30}-364z^4a^{-32}+286z^4a^{-34}-220z^4a^{-36}+165z^4a^{-38}-120z^4a^{-40}+84z^4a^{-42}-56z^4a^{-44}+35z^4a^{-46}-20z^4a^{-48}+10z^4a^{-50}-4z^4a^{-52}+z^4a^{-54}+455z^3a^{-29}+91z^3a^{-31}-78z^3a^{-33}+66z^3a^{-35}-55z^3a^{-37}+45z^3a^{-39}-36z^3a^{-41}+28z^3a^{-43}-21z^3a^{-45}+15z^3a^{-47}-10z^3a^{-49}+6z^3a^{-51}-3z^3a^{-53}+z^3a^{-55}-560z^2a^{-28}-469z^2a^{-30}+13z^2a^{-32}-12z^2a^{-34}+11z^2a^{-36}-10z^2a^{-38}+9z^2a^{-40}-8z^2a^{-42}+7z^2a^{-44}-6z^2a^{-46}+5z^2a^{-48}-4z^2a^{-50}+3z^2a^{-52}-2z^2a^{-54}+z^2a^{-56}-14za^{-29}-za^{-31}+za^{-33}-za^{-35}+za^{-37}-za^{-39}+za^{-41}-za^{-43}+za^{-45}-za^{-47}+za^{-49}-za^{-51}+za^{-53}-za^{-55}+za^{-57}+15a^{-28}+14a^{-30}&lt;/math&gt;</div>

TomTom https://katlas.org/index.php?title=Data:T(31,2)/Kauffman_Polynomial&diff=1323573 2006-07-05T13:34:32Z

<p>TomTom: computed with an OCaml program (366s @ 3.2 GHz)</p> <hr /> <div>&lt;math&gt;z^{30}a^{-30}+z^{30}a^{-32}+z^{29}a^{-31}+z^{29}a^{-33}-30z^{28}a^{-30}-29z^{28}a^{-32}+z^{28}a^{-34}-28z^{27}a^{-31}-27z^{27}a^{-33}+z^{27}a^{-35}+406z^{26}a^{-30}+379z^{26}a^{-32}-26z^{26}a^{-34}+z^{26}a^{-36}+351z^{25}a^{-31}+325z^{25}a^{-33}-25z^{25}a^{-35}+z^{25}a^{-37}-3276z^{24}a^{-30}-2951z^{24}a^{-32}+300z^{24}a^{-34}-24z^{24}a^{-36}+z^{24}a^{-38}-2600z^{23}a^{-31}-2300z^{23}a^{-33}+276z^{23}a^{-35}-23z^{23}a^{-37}+z^{23}a^{-39}+17550z^{22}a^{-30}+15250z^{22}a^{-32}-2024z^{22}a^{-34}+253z^{22}a^{-36}-22z^{22}a^{-38}+z^{22}a^{-40}+12650z^{21}a^{-31}+10626z^{21}a^{-33}-1771z^{21}a^{-35}+231z^{21}a^{-37}-21z^{21}a^{-39}+z^{21}a^{-41}-65780z^{20}a^{-30}-55154z^{20}a^{-32}+8855z^{20}a^{-34}-1540z^{20}a^{-36}+210z^{20}a^{-38}-20z^{20}a^{-40}+z^{20}a^{-42}-42504z^{19}a^{-31}-33649z^{19}a^{-33}+7315z^{19}a^{-35}-1330z^{19}a^{-37}+190z^{19}a^{-39}-19z^{19}a^{-41}+z^{19}a^{-43}+177100z^{18}a^{-30}+143451z^{18}a^{-32}-26334z^{18}a^{-34}+5985z^{18}a^{-36}-1140z^{18}a^{-38}+171z^{18}a^{-40}-18z^{18}a^{-42}+z^{18}a^{-44}+100947z^{17}a^{-31}+74613z^{17}a^{-33}-20349z^{17}a^{-35}+4845z^{17}a^{-37}-969z^{17}a^{-39}+153z^{17}a^{-41}-17z^{17}a^{-43}+z^{17}a^{-45}-346104z^{16}a^{-30}-271491z^{16}a^{-32}+54264z^{16}a^{-34}-15504z^{16}a^{-36}+3876z^{16}a^{-38}-816z^{16}a^{-40}+136z^{16}a^{-42}-16z^{16}a^{-44}+z^{16}a^{-46}-170544z^{15}a^{-31}-116280z^{15}a^{-33}+38760z^{15}a^{-35}-11628z^{15}a^{-37}+3060z^{15}a^{-39}-680z^{15}a^{-41}+120z^{15}a^{-43}-15z^{15}a^{-45}+z^{15}a^{-47}+490314z^{14}a^{-30}+374034z^{14}a^{-32}-77520z^{14}a^{-34}+27132z^{14}a^{-36}-8568z^{14}a^{-38}+2380z^{14}a^{-40}-560z^{14}a^{-42}+105z^{14}a^{-44}-14z^{14}a^{-46}+z^{14}a^{-48}+203490z^{13}a^{-31}+125970z^{13}a^{-33}-50388z^{13}a^{-35}+18564z^{13}a^{-37}-6188z^{13}a^{-39}+1820z^{13}a^{-41}-455z^{13}a^{-43}+91z^{13}a^{-45}-13z^{13}a^{-47}+z^{13}a^{-49}-497420z^{12}a^{-30}-371450z^{12}a^{-32}+75582z^{12}a^{-34}-31824z^{12}a^{-36}+12376z^{12}a^{-38}-4368z^{12}a^{-40}+1365z^{12}a^{-42}-364z^{12}a^{-44}+78z^{12}a^{-46}-12z^{12}a^{-48}+z^{12}a^{-50}-167960z^{11}a^{-31}-92378z^{11}a^{-33}+43758z^{11}a^{-35}-19448z^{11}a^{-37}+8008z^{11}a^{-39}-3003z^{11}a^{-41}+1001z^{11}a^{-43}-286z^{11}a^{-45}+66z^{11}a^{-47}-11z^{11}a^{-49}+z^{11}a^{-51}+352716z^{10}a^{-30}+260338z^{10}a^{-32}-48620z^{10}a^{-34}+24310z^{10}a^{-36}-11440z^{10}a^{-38}+5005z^{10}a^{-40}-2002z^{10}a^{-42}+715z^{10}a^{-44}-220z^{10}a^{-46}+55z^{10}a^{-48}-10z^{10}a^{-50}+z^{10}a^{-52}+92378z^9a^{-31}+43758z^9a^{-33}-24310z^9a^{-35}+12870z^9a^{-37}-6435z^9a^{-39}+3003z^9a^{-41}-1287z^9a^{-43}+495z^9a^{-45}-165z^9a^{-47}+45z^9a^{-49}-9z^9a^{-51}+z^9a^{-53}-167960z^8a^{-30}-124202z^8a^{-32}+19448z^8a^{-34}-11440z^8a^{-36}+6435z^8a^{-38}-3432z^8a^{-40}+1716z^8a^{-42}-792z^8a^{-44}+330z^8a^{-46}-120z^8a^{-48}+36z^8a^{-50}-8z^8a^{-52}+z^8a^{-54}-31824z^7a^{-31}-12376z^7a^{-33}+8008z^7a^{-35}-5005z^7a^{-37}+3003z^7a^{-39}-1716z^7a^{-41}+924z^7a^{-43}-462z^7a^{-45}+210z^7a^{-47}-84z^7a^{-49}+28z^7a^{-51}-7z^7a^{-53}+z^7a^{-55}+50388z^6a^{-30}+38012z^6a^{-32}-4368z^6a^{-34}+3003z^6a^{-36}-2002z^6a^{-38}+1287z^6a^{-40}-792z^6a^{-42}+462z^6a^{-44}-252z^6a^{-46}+126z^6a^{-48}-56z^6a^{-50}+21z^6a^{-52}-6z^6a^{-54}+z^6a^{-56}+6188z^5a^{-31}+1820z^5a^{-33}-1365z^5a^{-35}+1001z^5a^{-37}-715z^5a^{-39}+495z^5a^{-41}-330z^5a^{-43}+210z^5a^{-45}-126z^5a^{-47}+70z^5a^{-49}-35z^5a^{-51}+15z^5a^{-53}-5z^5a^{-55}+z^5a^{-57}-8568z^4a^{-30}-6748z^4a^{-32}+455z^4a^{-34}-364z^4a^{-36}+286z^4a^{-38}-220z^4a^{-40}+165z^4a^{-42}-120z^4a^{-44}+84z^4a^{-46}-56z^4a^{-48}+35z^4a^{-50}-20z^4a^{-52}+10z^4a^{-54}-4z^4a^{-56}+z^4a^{-58}-560z^3a^{-31}-105z^3a^{-33}+91z^3a^{-35}-78z^3a^{-37}+66z^3a^{-39}-55z^3a^{-41}+45z^3a^{-43}-36z^3a^{-45}+28z^3a^{-47}-21z^3a^{-49}+15z^3a^{-51}-10z^3a^{-53}+6z^3a^{-55}-3z^3a^{-57}+z^3a^{-59}+680z^2a^{-30}+575z^2a^{-32}-14z^2a^{-34}+13z^2a^{-36}-12z^2a^{-38}+11z^2a^{-40}-10z^2a^{-42}+9z^2a^{-44}-8z^2a^{-46}+7z^2a^{-48}-6z^2a^{-50}+5z^2a^{-52}-4z^2a^{-54}+3z^2a^{-56}-2z^2a^{-58}+z^2a^{-60}+15za^{-31}+za^{-33}-za^{-35}+za^{-37}-za^{-39}+za^{-41}-za^{-43}+za^{-45}-za^{-47}+za^{-49}-za^{-51}+za^{-53}-za^{-55}+za^{-57}-za^{-59}+za^{-61}-16a^{-30}-15a^{-32}&lt;/math&gt;</div>

TomTom https://katlas.org/index.php?title=Data:T(33,2)/Kauffman_Polynomial&diff=1323425 2006-07-05T13:26:01Z

<p>TomTom: computed with an OCaml program (961s @ 3.2 GHz)</p> <hr /> <div>&lt;math&gt;z^{32}a^{-32}+z^{32}a^{-34}+z^{31}a^{-33}+z^{31}a^{-35}-32z^{30}a^{-32}-31z^{30}a^{-34}+z^{30}a^{-36}-30z^{29}a^{-33}-29z^{29}a^{-35}+z^{29}a^{-37}+465z^{28}a^{-32}+436z^{28}a^{-34}-28z^{28}a^{-36}+z^{28}a^{-38}+406z^{27}a^{-33}+378z^{27}a^{-35}-27z^{27}a^{-37}+z^{27}a^{-39}-4060z^{26}a^{-32}-3682z^{26}a^{-34}+351z^{26}a^{-36}-26z^{26}a^{-38}+z^{26}a^{-40}-3276z^{25}a^{-33}-2925z^{25}a^{-35}+325z^{25}a^{-37}-25z^{25}a^{-39}+z^{25}a^{-41}+23751z^{24}a^{-32}+20826z^{24}a^{-34}-2600z^{24}a^{-36}+300z^{24}a^{-38}-24z^{24}a^{-40}+z^{24}a^{-42}+17550z^{23}a^{-33}+14950z^{23}a^{-35}-2300z^{23}a^{-37}+276z^{23}a^{-39}-23z^{23}a^{-41}+z^{23}a^{-43}-98280z^{22}a^{-32}-83330z^{22}a^{-34}+12650z^{22}a^{-36}-2024z^{22}a^{-38}+253z^{22}a^{-40}-22z^{22}a^{-42}+z^{22}a^{-44}-65780z^{21}a^{-33}-53130z^{21}a^{-35}+10626z^{21}a^{-37}-1771z^{21}a^{-39}+231z^{21}a^{-41}-21z^{21}a^{-43}+z^{21}a^{-45}+296010z^{20}a^{-32}+242880z^{20}a^{-34}-42504z^{20}a^{-36}+8855z^{20}a^{-38}-1540z^{20}a^{-40}+210z^{20}a^{-42}-20z^{20}a^{-44}+z^{20}a^{-46}+177100z^{19}a^{-33}+134596z^{19}a^{-35}-33649z^{19}a^{-37}+7315z^{19}a^{-39}-1330z^{19}a^{-41}+190z^{19}a^{-43}-19z^{19}a^{-45}+z^{19}a^{-47}-657800z^{18}a^{-32}-523204z^{18}a^{-34}+100947z^{18}a^{-36}-26334z^{18}a^{-38}+5985z^{18}a^{-40}-1140z^{18}a^{-42}+171z^{18}a^{-44}-18z^{18}a^{-46}+z^{18}a^{-48}-346104z^{17}a^{-33}-245157z^{17}a^{-35}+74613z^{17}a^{-37}-20349z^{17}a^{-39}+4845z^{17}a^{-41}-969z^{17}a^{-43}+153z^{17}a^{-45}-17z^{17}a^{-47}+z^{17}a^{-49}+1081575z^{16}a^{-32}+836418z^{16}a^{-34}-170544z^{16}a^{-36}+54264z^{16}a^{-38}-15504z^{16}a^{-40}+3876z^{16}a^{-42}-816z^{16}a^{-44}+136z^{16}a^{-46}-16z^{16}a^{-48}+z^{16}a^{-50}+490314z^{15}a^{-33}+319770z^{15}a^{-35}-116280z^{15}a^{-37}+38760z^{15}a^{-39}-11628z^{15}a^{-41}+3060z^{15}a^{-43}-680z^{15}a^{-45}+120z^{15}a^{-47}-15z^{15}a^{-49}+z^{15}a^{-51}-1307504z^{14}a^{-32}-987734z^{14}a^{-34}+203490z^{14}a^{-36}-77520z^{14}a^{-38}+27132z^{14}a^{-40}-8568z^{14}a^{-42}+2380z^{14}a^{-44}-560z^{14}a^{-46}+105z^{14}a^{-48}-14z^{14}a^{-50}+z^{14}a^{-52}-497420z^{13}a^{-33}-293930z^{13}a^{-35}+125970z^{13}a^{-37}-50388z^{13}a^{-39}+18564z^{13}a^{-41}-6188z^{13}a^{-43}+1820z^{13}a^{-45}-455z^{13}a^{-47}+91z^{13}a^{-49}-13z^{13}a^{-51}+z^{13}a^{-53}+1144066z^{12}a^{-32}+850136z^{12}a^{-34}-167960z^{12}a^{-36}+75582z^{12}a^{-38}-31824z^{12}a^{-40}+12376z^{12}a^{-42}-4368z^{12}a^{-44}+1365z^{12}a^{-46}-364z^{12}a^{-48}+78z^{12}a^{-50}-12z^{12}a^{-52}+z^{12}a^{-54}+352716z^{11}a^{-33}+184756z^{11}a^{-35}-92378z^{11}a^{-37}+43758z^{11}a^{-39}-19448z^{11}a^{-41}+8008z^{11}a^{-43}-3003z^{11}a^{-45}+1001z^{11}a^{-47}-286z^{11}a^{-49}+66z^{11}a^{-51}-11z^{11}a^{-53}+z^{11}a^{-55}-705432z^{10}a^{-32}-520676z^{10}a^{-34}+92378z^{10}a^{-36}-48620z^{10}a^{-38}+24310z^{10}a^{-40}-11440z^{10}a^{-42}+5005z^{10}a^{-44}-2002z^{10}a^{-46}+715z^{10}a^{-48}-220z^{10}a^{-50}+55z^{10}a^{-52}-10z^{10}a^{-54}+z^{10}a^{-56}-167960z^9a^{-33}-75582z^9a^{-35}+43758z^9a^{-37}-24310z^9a^{-39}+12870z^9a^{-41}-6435z^9a^{-43}+3003z^9a^{-45}-1287z^9a^{-47}+495z^9a^{-49}-165z^9a^{-51}+45z^9a^{-53}-9z^9a^{-55}+z^9a^{-57}+293930z^8a^{-32}+218348z^8a^{-34}-31824z^8a^{-36}+19448z^8a^{-38}-11440z^8a^{-40}+6435z^8a^{-42}-3432z^8a^{-44}+1716z^8a^{-46}-792z^8a^{-48}+330z^8a^{-50}-120z^8a^{-52}+36z^8a^{-54}-8z^8a^{-56}+z^8a^{-58}+50388z^7a^{-33}+18564z^7a^{-35}-12376z^7a^{-37}+8008z^7a^{-39}-5005z^7a^{-41}+3003z^7a^{-43}-1716z^7a^{-45}+924z^7a^{-47}-462z^7a^{-49}+210z^7a^{-51}-84z^7a^{-53}+28z^7a^{-55}-7z^7a^{-57}+z^7a^{-59}-77520z^6a^{-32}-58956z^6a^{-34}+6188z^6a^{-36}-4368z^6a^{-38}+3003z^6a^{-40}-2002z^6a^{-42}+1287z^6a^{-44}-792z^6a^{-46}+462z^6a^{-48}-252z^6a^{-50}+126z^6a^{-52}-56z^6a^{-54}+21z^6a^{-56}-6z^6a^{-58}+z^6a^{-60}-8568z^5a^{-33}-2380z^5a^{-35}+1820z^5a^{-37}-1365z^5a^{-39}+1001z^5a^{-41}-715z^5a^{-43}+495z^5a^{-45}-330z^5a^{-47}+210z^5a^{-49}-126z^5a^{-51}+70z^5a^{-53}-35z^5a^{-55}+15z^5a^{-57}-5z^5a^{-59}+z^5a^{-61}+11628z^4a^{-32}+9248z^4a^{-34}-560z^4a^{-36}+455z^4a^{-38}-364z^4a^{-40}+286z^4a^{-42}-220z^4a^{-44}+165z^4a^{-46}-120z^4a^{-48}+84z^4a^{-50}-56z^4a^{-52}+35z^4a^{-54}-20z^4a^{-56}+10z^4a^{-58}-4z^4a^{-60}+z^4a^{-62}+680z^3a^{-33}+120z^3a^{-35}-105z^3a^{-37}+91z^3a^{-39}-78z^3a^{-41}+66z^3a^{-43}-55z^3a^{-45}+45z^3a^{-47}-36z^3a^{-49}+28z^3a^{-51}-21z^3a^{-53}+15z^3a^{-55}-10z^3a^{-57}+6z^3a^{-59}-3z^3a^{-61}+z^3a^{-63}-816z^2a^{-32}-696z^2a^{-34}+15z^2a^{-36}-14z^2a^{-38}+13z^2a^{-40}-12z^2a^{-42}+11z^2a^{-44}-10z^2a^{-46}+9z^2a^{-48}-8z^2a^{-50}+7z^2a^{-52}-6z^2a^{-54}+5z^2a^{-56}-4z^2a^{-58}+3z^2a^{-60}-2z^2a^{-62}+z^2a^{-64}-16za^{-33}-za^{-35}+za^{-37}-za^{-39}+za^{-41}-za^{-43}+za^{-45}-za^{-47}+za^{-49}-za^{-51}+za^{-53}-za^{-55}+za^{-57}-za^{-59}+za^{-61}-za^{-63}+za^{-65}+17a^{-32}+16a^{-34}&lt;/math&gt;</div>

TomTom https://katlas.org/index.php?title=User:TomTom&diff=1321751 2006-07-05T12:01:47Z

<p>TomTom: Few words on who I am</p> <hr /> <div>My name is Vincent,<br /> <br /> I am a physicist working in different fields like biophysics and<br /> light scattering. I entered knot theory in relation with DNA mechanics,<br /> in 2000. At that time I wrote a program able to deal with skein operations<br /> to compute the Jones polynomial of knot and links. To test the abilities<br /> of this programm, I recently added HOMFLY-PT and Kauffman polynomials<br /> to the possibilities (just a few more algebra to implement). A mathematician<br /> suggested that I have a look at the Atlas, so did I. <br /> <br /> My program is written in Objective Caml, a high-level language<br /> that I learned as a student. (http://caml.inria.fr/)</div>

TomTom https://katlas.org/index.php?title=Data:T(35,2)/HOMFLYPT_Polynomial&diff=1282544 2006-07-04T17:12:24Z

<p>TomTom: HOMFLY-PT polynomial of T(35,2) computed with an OCaml program (207s@3.4GHz)</p> <hr /> <div>&lt;math&gt;z^{34}a^{-34}-34z^{32}a^{-34}-z^{32}a^{-36}+528z^{30}a^{-34}+32z^{30}a^{-36}-4960z^{28}a^{-34}-465z^{28}a^{-36}+31465z^{26}a^{-34}+4060z^{26}a^{-36}-142506z^{24}a^{-34}-23751z^{24}a^{-36}+475020z^{22}a^{-34}+98280z^{22}a^{-36}-1184040z^{20}a^{-34}-296010z^{20}a^{-36}+2220075z^{18}a^{-34}+657800z^{18}a^{-36}-3124550z^{16}a^{-34}-1081575z^{16}a^{-36}+3268760z^{14}a^{-34}+1307504z^{14}a^{-36}-2496144z^{12}a^{-34}-1144066z^{12}a^{-36}+1352078z^{10}a^{-34}+705432z^{10}a^{-36}-497420z^8a^{-34}-293930z^8a^{-36}+116280z^6a^{-34}+77520z^6a^{-36}-15504z^4a^{-34}-11628z^4a^{-36}+969z^2a^{-34}+816z^2a^{-36}-18a^{-34}-17a^{-36}&lt;/math&gt;</div>

TomTom https://katlas.org/index.php?title=Data:T(33,2)/HOMFLYPT_Polynomial&diff=1282289 2006-07-04T17:07:28Z

<p>TomTom: HOMFLY-PT polynomial of T(33,2) computed with an OCaml program (77s)</p> <hr /> <div>&lt;math&gt;z^{32}a^{-32}-32z^{30}a^{-32}-z^{30}a^{-34}+465z^{28}a^{-32}+30z^{28}a^{-34}-4060z^{26}a^{-32}-406z^{26}a^{-34}+23751z^{24}a^{-32}+3276z^{24}a^{-34}-98280z^{22}a^{-32}-17550z^{22}a^{-34}+296010z^{20}a^{-32}+65780z^{20}a^{-34}-657800z^{18}a^{-32}-177100z^{18}a^{-34}+1081575z^{16}a^{-32}+346104z^{16}a^{-34}-1307504z^{14}a^{-32}-490314z^{14}a^{-34}+1144066z^{12}a^{-32}+497420z^{12}a^{-34}-705432z^{10}a^{-32}-352716z^{10}a^{-34}+293930z^8a^{-32}+167960z^8a^{-34}-77520z^6a^{-32}-50388z^6a^{-34}+11628z^4a^{-32}+8568z^4a^{-34}-816z^2a^{-32}-680z^2a^{-34}+17a^{-32}+16a^{-34}&lt;/math&gt;</div>

TomTom https://katlas.org/index.php?title=Data:T(25,2)/HOMFLYPT_Polynomial&diff=1281047 2006-07-04T17:04:52Z

<p>TomTom: Changed : wrong handedness</p> <hr /> <div>&lt;math&gt;z^{24}a^{-24}-24z^{22}a^{-24}-z^{22}a^{-26}+253z^{20}a^{-24}+22z^{20}a^{-26}-1540z^{18}a^{-24}-210z^{18}a^{-26}+5985z^{16}a^{-24}+1140z^{16}a^{-26}-15504z^{14}a^{-24}-3876z^{14}a^{-26}+27132z^{12}a^{-24}+8568z^{12}a^{-26}-31824z^{10}a^{-24}-12376z^{10}a^{-26}+24310z^8a^{-24}+11440z^8a^{-26}-11440z^6a^{-24}-6435z^6a^{-26}+3003z^4a^{-24}+2002z^4a^{-26}-364z^2a^{-24}-286z^2a^{-26}+13a^{-24}+12a^{-26}&lt;/math&gt;</div>

TomTom https://katlas.org/index.php?title=Data:T(27,2)/HOMFLYPT_Polynomial&diff=1280902 2006-07-04T17:04:12Z

<p>TomTom: Changed : wrong handedness</p> <hr /> <div>&lt;math&gt;z^{26}a^{-26}-26z^{24}a^{-26}-z^{24}a^{-28}+300z^{22}a^{-26}+24z^{22}a^{-28}-2024z^{20}a^{-26}-253z^{20}a^{-28}+8855z^{18}a^{-26}+1540z^{18}a^{-28}-26334z^{16}a^{-26}-5985z^{16}a^{-28}+54264z^{14}a^{-26}+15504z^{14}a^{-28}-77520z^{12}a^{-26}-27132z^{12}a^{-28}+75582z^{10}a^{-26}+31824z^{10}a^{-28}-48620z^8a^{-26}-24310z^8a^{-28}+19448z^6a^{-26}+11440z^6a^{-28}-4368z^4a^{-26}-3003z^4a^{-28}+455z^2a^{-26}+364z^2a^{-28}-14a^{-26}-13a^{-28}&lt;/math&gt;</div>

TomTom https://katlas.org/index.php?title=Data:T(29,2)/HOMFLYPT_Polynomial&diff=1280815 2006-07-04T17:03:24Z

<p>TomTom: Changed : wrong handedness</p> <hr /> <div>&lt;math&gt;z^{28}a^{-28}-28z^{26}a^{-28}-z^{26}a^{-30}+351z^{24}a^{-28}+26z^{24}a^{-30}-2600z^{22}a^{-28}-300z^{22}a^{-30}+12650z^{20}a^{-28}+2024z^{20}a^{-30}-42504z^{18}a^{-28}-8855z^{18}a^{-30}+100947z^{16}a^{-28}+26334z^{16}a^{-30}-170544z^{14}a^{-28}-54264z^{14}a^{-30}+203490z^{12}a^{-28}+77520z^{12}a^{-30}-167960z^{10}a^{-28}-75582z^{10}a^{-30}+92378z^8a^{-28}+48620z^8a^{-30}-31824z^6a^{-28}-19448z^6a^{-30}+6188z^4a^{-28}+4368z^4a^{-30}-560z^2a^{-28}-455z^2a^{-30}+15a^{-28}+14a^{-30}&lt;/math&gt;</div>

TomTom https://katlas.org/index.php?title=Data:T(31,2)/HOMFLYPT_Polynomial&diff=1280795 2006-07-04T17:02:14Z

<p>TomTom: Changed : wrong handedness</p> <hr /> <div>&lt;math&gt;z^{30}a^{-30}-30z^{28}a^{-30}-z^{28}a^{-32}+406z^{26}a^{-30}+28z^{26}a^{-32}-3276z^{24}a^{-30}-351z^{24}a^{-32}+17550z^{22}a^{-30}+2600z^{22}a^{-32}-65780z^{20}a^{-30}-12650z^{20}a^{-32}+177100z^{18}a^{-30}+42504z^{18}a^{-32}-346104z^{16}a^{-30}-100947z^{16}a^{-32}+490314z^{14}a^{-30}+170544z^{14}a^{-32}-497420z^{12}a^{-30}-203490z^{12}a^{-32}+352716z^{10}a^{-30}+167960z^{10}a^{-32}-167960z^8a^{-30}-92378z^8a^{-32}+50388z^6a^{-30}+31824z^6a^{-32}-8568z^4a^{-30}-6188z^4a^{-32}+680z^2a^{-30}+560z^2a^{-32}-16a^{-30}-15a^{-32}&lt;/math&gt;</div>

TomTom https://katlas.org/index.php?title=Data:T(31,2)/HOMFLYPT_Polynomial&diff=52461 2006-07-04T17:01:44Z

<p>TomTom: Changed : wrong handedness</p> <hr /> <div>&lt;math&gt;z^{30}a^{-30}-30z^{28}a^{-30}-z^{28}a^{-32}+406z^{26}a^{-30}+28z^{26}a^{-32}-3276z^{24}a^{-30}-351z^{24}a^{-32}+17550z^{22}a^{-30}+2600z^{22}a^{-32}-65780z^{20}a^{-30}-12650z^{20}a^{-32}+177100z^{18}a^{-30}+42504z^{18}a^{-32}-346104z^{16}a^{-30}-100947z^{16}a^{-32}+490314z^{14}a^{-30}+170544z^{14}a^{-32}-497420z^{12}a^{-30}-203490z^{12}a^{-32}+352716z^{10}a^{-30}+167960z^{10}a^{-32}-167960z^8a^{-30}-92378z^8a^{-32}+50388z^6a^{-30}+31824z^6a^{-32}-8568z^4a^{-30}-6188z^4a^{-32}+680z^2a^{-30}+560z^2a^{-32}-16a^{-30}-15a^{-32&lt;/math&gt;</div>

TomTom https://katlas.org/index.php?title=Data:T(25,2)/HOMFLYPT_Polynomial&diff=52464 2006-07-04T16:42:01Z

<p>TomTom: HOMFLY-PT polynomial of T(25,2) computed with an OCaml program</p> <hr /> <div>&lt;math&gt;13a^{24}+12a^{26}-364a^{24}z^2-286a^{26}z^2+3003a^{24}z^4+2002a^{26}z^4-11440a^{24}z^6-6435a^{26}z^6+24310a^{24}z^8+11440a^{26}z^8-31824a^{24}z^{10}-12376a^{26}z^{10}+27132a^{24}z^{12}+8568a^{26}z^{12}-15504a^{24}z^{14}-3876a^{26}z^{14}+5985a^{24}z^{16}+1140a^{26}z^{16}-1540a^{24}z^{18}-210a^{26}z^{18}+253a^{24}z^{20}+22a^{26}z^{20}-24a^{24}z^{22}-a^{26}z^{22}+a^{24}z^{24}&lt;/math&gt;</div>

TomTom https://katlas.org/index.php?title=Data:T(27,2)/HOMFLYPT_Polynomial&diff=52463 2006-07-04T16:38:22Z

<p>TomTom: HOMFLY-PT polynomial of T(27,2) computed with an OCaml program</p> <hr /> <div>&lt;math&gt;-14a^{26}-13a^{28}+455a^{26}z^2+364a^{28}z^2-4368a^{26}z^4-3003a^{28}z^4+19448a^{26}z^6+11440a^{28}z^6-48620a^{26}z^8-24310a^{28}z^8+75582a^{26}z^{10}+31824a^{28}z^{10}-77520a^{26}z^{12}-27132a^{28}z^{12}+54264a^{26}z^{14}+15504a^{28}z^{14}-26334a^{26}z^{16}-5985a^{28}z^{16}+8855a^{26}z^{18}+1540a^{28}z^{18}-2024a^{26}z^{20}-253a^{28}z^{20}+300a^{26}z^{22}+24a^{28}z^{22}-26a^{26}z^{24}-a^{28}z^{24}+a^{26}z^{26}&lt;/math&gt;</div>

TomTom https://katlas.org/index.php?title=Data:T(29,2)/HOMFLYPT_Polynomial&diff=52462 2006-07-04T16:33:51Z

<p>TomTom: HOMPLY-PT polynomial of T(29,2) computed with an OCaml program</p> <hr /> <div>&lt;math&gt;15a^{28}+14a^{30}-560a^{28}z^2-455a^{30}z^2+6188a^{28}z^4+4368a^{30}z^4-31824a^{28}z^6-19448a^{30}z^6+92378a^{28}z^8+48620a^{30}z^8-167960a^{28}z^{10}-75582a^{30}z^{10}+203490a^{28}z^{12}+77520a^{30}z^{12}-170544a^{28}z^{14}-54264a^{30}z^{14}+100947a^{28}z^{16}+26334a^{30}z^{16}-42504a^{28}z^{18}-8855a^{30}z^{18}+12650a^{28}z^{20}+2024a^{30}z^{20}-2600a^{28}z^{22}-300a^{30}z^{22}+351a^{28}z^{24}+26a^{30}z^{24}-28a^{28}z^{26}-a^{30}z^{26}+a^{28}z^{28}&lt;/math&gt;</div>

TomTom