10 114

2008-12-16T23:15:36Z

SitctRocno: cac4tropas

roerc4tlavar



{{Rolfsen Knot Page|
n = 10 |
k = 114 |
KnotilusURL = http://srankin.math.uwo.ca/cgi-bin/retrieve.cgi/1,-6,2,-7,8,-1,9,-2,10,-8,4,-5,3,-9,6,-10,7,-3,5,-4/goTop.html |
braid_table = <table cellspacing=0 cellpadding=0 border=0>
<tr><td>[[Image:BraidPart3.gif]][[Image:BraidPart3.gif]][[Image:BraidPart0.gif]][[Image:BraidPart1.gif]][[Image:BraidPart0.gif]][[Image:BraidPart0.gif]][[Image:BraidPart0.gif]][[Image:BraidPart0.gif]][[Image:BraidPart0.gif]][[Image:BraidPart0.gif]]</td></tr>
<tr><td>[[Image:BraidPart4.gif]][[Image:BraidPart4.gif]][[Image:BraidPart3.gif]][[Image:BraidPart2.gif]][[Image:BraidPart3.gif]][[Image:BraidPart0.gif]][[Image:BraidPart3.gif]][[Image:BraidPart0.gif]][[Image:BraidPart3.gif]][[Image:BraidPart0.gif]]</td></tr>
<tr><td>[[Image:BraidPart0.gif]][[Image:BraidPart0.gif]][[Image:BraidPart4.gif]][[Image:BraidPart1.gif]][[Image:BraidPart4.gif]][[Image:BraidPart1.gif]][[Image:BraidPart4.gif]][[Image:BraidPart1.gif]][[Image:BraidPart4.gif]][[Image:BraidPart1.gif]]</td></tr>
<tr><td>[[Image:BraidPart0.gif]][[Image:BraidPart0.gif]][[Image:BraidPart0.gif]][[Image:BraidPart2.gif]][[Image:BraidPart0.gif]][[Image:BraidPart2.gif]][[Image:BraidPart0.gif]][[Image:BraidPart2.gif]][[Image:BraidPart0.gif]][[Image:BraidPart2.gif]]</td></tr>
</table> |
braid_crossings = 11 |
braid_width = 4 |
braid_index = 4 |
same_alexander = [[K11a93]], |
same_jones = |
khovanov_table = <table border=1>
<tr align=center>
<td width=13.3333%><table cellpadding=0 cellspacing=0>
<tr><td>\</td><td> </td><td>r</td></tr>
<tr><td> </td><td> \ </td><td> </td></tr>
<tr><td>j</td><td> </td><td>\</td></tr>
</table></td>
<td width=6.66667%>-6</td ><td width=6.66667%>-5</td ><td width=6.66667%>-4</td ><td width=6.66667%>-3</td ><td width=6.66667%>-2</td ><td width=6.66667%>-1</td ><td width=6.66667%>0</td ><td width=6.66667%>1</td ><td width=6.66667%>2</td ><td width=6.66667%>3</td ><td width=6.66667%>4</td ><td width=13.3333%>χ</td></tr>
<tr align=center><td>9</td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td bgcolor=yellow>1</td><td>1</td></tr>
<tr align=center><td>7</td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td bgcolor=yellow>3</td><td bgcolor=yellow> </td><td>-3</td></tr>
<tr align=center><td>5</td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td bgcolor=yellow>5</td><td bgcolor=yellow>1</td><td> </td><td>4</td></tr>
<tr align=center><td>3</td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td bgcolor=yellow>7</td><td bgcolor=yellow>3</td><td> </td><td> </td><td>-4</td></tr>
<tr align=center><td>1</td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td bgcolor=yellow>8</td><td bgcolor=yellow>5</td><td> </td><td> </td><td> </td><td>3</td></tr>
<tr align=center><td>-1</td><td> </td><td> </td><td> </td><td> </td><td> </td><td bgcolor=yellow>8</td><td bgcolor=yellow>8</td><td> </td><td> </td><td> </td><td> </td><td>0</td></tr>
<tr align=center><td>-3</td><td> </td><td> </td><td> </td><td> </td><td bgcolor=yellow>7</td><td bgcolor=yellow>7</td><td> </td><td> </td><td> </td><td> </td><td> </td><td>0</td></tr>
<tr align=center><td>-5</td><td> </td><td> </td><td> </td><td bgcolor=yellow>4</td><td bgcolor=yellow>8</td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td>4</td></tr>
<tr align=center><td>-7</td><td> </td><td> </td><td bgcolor=yellow>3</td><td bgcolor=yellow>7</td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td>-4</td></tr>
<tr align=center><td>-9</td><td> </td><td bgcolor=yellow>1</td><td bgcolor=yellow>4</td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td>3</td></tr>
<tr align=center><td>-11</td><td bgcolor=yellow> </td><td bgcolor=yellow>3</td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td>-3</td></tr>
<tr align=center><td>-13</td><td bgcolor=yellow>1</td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td>1</td></tr>
</table> |
coloured_jones_2 = <math>q^{12}-4 q^{11}+4 q^{10}+8 q^9-26 q^8+20 q^7+31 q^6-81 q^5+42 q^4+82 q^3-150 q^2+44 q+144-188 q^{-1} +18 q^{-2} +179 q^{-3} -173 q^{-4} -20 q^{-5} +170 q^{-6} -117 q^{-7} -47 q^{-8} +121 q^{-9} -50 q^{-10} -47 q^{-11} +58 q^{-12} -7 q^{-13} -24 q^{-14} +14 q^{-15} +2 q^{-16} -4 q^{-17} + q^{-18} </math> |
coloured_jones_3 = <math>q^{24}-4 q^{23}+4 q^{22}+4 q^{21}-6 q^{20}-11 q^{19}+15 q^{18}+25 q^{17}-44 q^{16}-37 q^{15}+86 q^{14}+76 q^{13}-162 q^{12}-151 q^{11}+262 q^{10}+281 q^9-365 q^8-469 q^7+437 q^6+701 q^5-453 q^4-946 q^3+412 q^2+1147 q-296-1309 q^{-1} +167 q^{-2} +1368 q^{-3} +15 q^{-4} -1388 q^{-5} -162 q^{-6} +1309 q^{-7} +337 q^{-8} -1208 q^{-9} -463 q^{-10} +1027 q^{-11} +594 q^{-12} -837 q^{-13} -659 q^{-14} +600 q^{-15} +679 q^{-16} -363 q^{-17} -637 q^{-18} +158 q^{-19} +524 q^{-20} +9 q^{-21} -388 q^{-22} -93 q^{-23} +237 q^{-24} +120 q^{-25} -122 q^{-26} -95 q^{-27} +43 q^{-28} +62 q^{-29} -12 q^{-30} -27 q^{-31} +9 q^{-33} +2 q^{-34} -4 q^{-35} + q^{-36} </math> |
coloured_jones_4 = <math>q^{40}-4 q^{39}+4 q^{38}+4 q^{37}-10 q^{36}+9 q^{35}-16 q^{34}+19 q^{33}+11 q^{32}-52 q^{31}+54 q^{30}-25 q^{29}+58 q^{28}-30 q^{27}-239 q^{26}+184 q^{25}+155 q^{24}+303 q^{23}-242 q^{22}-1004 q^{21}+139 q^{20}+803 q^{19}+1465 q^{18}-229 q^{17}-2840 q^{16}-1111 q^{15}+1405 q^{14}+4180 q^{13}+1296 q^{12}-4984 q^{11}-4227 q^{10}+395 q^9+7366 q^8+4897 q^7-5521 q^6-7825 q^5-2743 q^4+8870 q^3+8925 q^2-3804 q-9709-6410 q^{-1} +8019 q^{-2} +11304 q^{-3} -1105 q^{-4} -9327 q^{-5} -8912 q^{-6} +5828 q^{-7} +11623 q^{-8} +1385 q^{-9} -7529 q^{-10} -10036 q^{-11} +3156 q^{-12} +10543 q^{-13} +3532 q^{-14} -4917 q^{-15} -10112 q^{-16} +133 q^{-17} +8295 q^{-18} +5263 q^{-19} -1562 q^{-20} -8871 q^{-21} -2794 q^{-22} +4794 q^{-23} +5699 q^{-24} +1853 q^{-25} -5907 q^{-26} -4273 q^{-27} +864 q^{-28} +4074 q^{-29} +3720 q^{-30} -2150 q^{-31} -3397 q^{-32} -1602 q^{-33} +1349 q^{-34} +3137 q^{-35} +346 q^{-36} -1278 q^{-37} -1696 q^{-38} -416 q^{-39} +1365 q^{-40} +757 q^{-41} +83 q^{-42} -686 q^{-43} -586 q^{-44} +230 q^{-45} +275 q^{-46} +248 q^{-47} -84 q^{-48} -209 q^{-49} -12 q^{-50} +16 q^{-51} +74 q^{-52} +12 q^{-53} -33 q^{-54} -3 q^{-55} -5 q^{-56} +9 q^{-57} +2 q^{-58} -4 q^{-59} + q^{-60} </math> |
coloured_jones_5 = <math>q^{60}-4 q^{59}+4 q^{58}+4 q^{57}-10 q^{56}+5 q^{55}+4 q^{54}-12 q^{53}+5 q^{52}+13 q^{51}-12 q^{50}+14 q^{49}+25 q^{48}-47 q^{47}-76 q^{46}-35 q^{45}+88 q^{44}+235 q^{43}+221 q^{42}-139 q^{41}-681 q^{40}-717 q^{39}+142 q^{38}+1397 q^{37}+1861 q^{36}+430 q^{35}-2480 q^{34}-4230 q^{33}-2019 q^{32}+3533 q^{31}+7938 q^{30}+5819 q^{29}-3588 q^{28}-13168 q^{27}-12644 q^{26}+1323 q^{25}+18846 q^{24}+22958 q^{23}+5034 q^{22}-23319 q^{21}-36246 q^{20}-16501 q^{19}+24395 q^{18}+50614 q^{17}+32984 q^{16}-20091 q^{15}-63424 q^{14}-52999 q^{13}+9792 q^{12}+72019 q^{11}+73678 q^{10}+5716 q^9-74673 q^8-91983 q^7-24148 q^6+71094 q^5+105530 q^4+42813 q^3-62759 q^2-113105 q-58967+51245 q^{-1} +115139 q^{-2} +71610 q^{-3} -39254 q^{-4} -112765 q^{-5} -79863 q^{-6} +27453 q^{-7} +107579 q^{-8} +85150 q^{-9} -17118 q^{-10} -100836 q^{-11} -87747 q^{-12} +7185 q^{-13} +93094 q^{-14} +89436 q^{-15} +2241 q^{-16} -84237 q^{-17} -89921 q^{-18} -12620 q^{-19} +73812 q^{-20} +89682 q^{-21} +23379 q^{-22} -61069 q^{-23} -87225 q^{-24} -34862 q^{-25} +45796 q^{-26} +82137 q^{-27} +45115 q^{-28} -28292 q^{-29} -72840 q^{-30} -53030 q^{-31} +9722 q^{-32} +59629 q^{-33} +56447 q^{-34} +7696 q^{-35} -42787 q^{-36} -54326 q^{-37} -21831 q^{-38} +24422 q^{-39} +46683 q^{-40} +30397 q^{-41} -7141 q^{-42} -34561 q^{-43} -32603 q^{-44} -6610 q^{-45} +20774 q^{-46} +28908 q^{-47} +14745 q^{-48} -7856 q^{-49} -21262 q^{-50} -17244 q^{-51} -1599 q^{-52} +12367 q^{-53} +15061 q^{-54} +6743 q^{-55} -4692 q^{-56} -10497 q^{-57} -7781 q^{-58} -384 q^{-59} +5600 q^{-60} +6372 q^{-61} +2581 q^{-62} -1991 q^{-63} -3928 q^{-64} -2730 q^{-65} -76 q^{-66} +1889 q^{-67} +1959 q^{-68} +674 q^{-69} -600 q^{-70} -1010 q^{-71} -639 q^{-72} +25 q^{-73} +438 q^{-74} +366 q^{-75} +78 q^{-76} -124 q^{-77} -144 q^{-78} -80 q^{-79} +22 q^{-80} +67 q^{-81} +23 q^{-82} -9 q^{-83} -9 q^{-84} -8 q^{-85} -5 q^{-86} +9 q^{-87} +2 q^{-88} -4 q^{-89} + q^{-90} </math> |
coloured_jones_6 = |
coloured_jones_7 = |
computer_talk =
<table>
<tr valign=top>
<td><pre style="color: blue; border: 0px; padding: 0em">In[1]:=    </pre></td>
<td align=left><pre style="color: red; border: 0px; padding: 0em"><< KnotTheory`</pre></td>
</tr>
<tr valign=top><td colspan=2><nowiki>Loading KnotTheory` (version of August 29, 2005, 15:33:11)...</nowiki></td></tr>
</table>
<table><tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">In[2]:=</code></td>
<td><code style="white-space: pre; color: red; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>PD[Knot[10, 114]]</nowiki></code></td></tr>
<tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">Out[2]:=</code></td>
<td><code style="white-space: pre; color: black; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>PD[X[6, 2, 7, 1], X[8, 3, 9, 4], X[18, 13, 19, 14], X[20, 11, 1, 12],

X[12, 19, 13, 20], X[2, 16, 3, 15], X[4, 17, 5, 18], X[10, 6, 11, 5],

X[14, 7, 15, 8], X[16, 10, 17, 9]]</nowiki></code></td></tr>
</table>
<table><tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">In[3]:=</code></td>
<td><code style="white-space: pre; color: red; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>GaussCode[Knot[10, 114]]</nowiki></code></td></tr>
<tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">Out[3]:=</code></td>
<td><code style="white-space: pre; color: black; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>GaussCode[1, -6, 2, -7, 8, -1, 9, -2, 10, -8, 4, -5, 3, -9, 6, -10, 7,

-3, 5, -4]</nowiki></code></td></tr>
</table>
<table><tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">In[4]:=</code></td>
<td><code style="white-space: pre; color: red; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>DTCode[Knot[10, 114]]</nowiki></code></td></tr>
<tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">Out[4]:=</code></td>
<td><code style="white-space: pre; color: black; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>DTCode[6, 8, 10, 14, 16, 20, 18, 2, 4, 12]</nowiki></code></td></tr>
</table>
<table><tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">In[5]:=</code></td>
<td><code style="white-space: pre; color: red; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>br = BR[Knot[10, 114]]</nowiki></code></td></tr>
<tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">Out[5]:=</code></td>
<td><code style="white-space: pre; color: black; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>BR[4, {-1, -1, -2, 1, 3, -2, 3, -2, 3, -2, 3}]</nowiki></code></td></tr>
</table>
<table><tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">In[6]:=</code></td>
<td><code style="white-space: pre; color: red; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>{First[br], Crossings[br]}</nowiki></code></td></tr>
<tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">Out[6]:=</code></td>
<td><code style="white-space: pre; color: black; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>{4, 11}</nowiki></code></td></tr>
</table>
<table><tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">In[7]:=</code></td>
<td><code style="white-space: pre; color: red; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>BraidIndex[Knot[10, 114]]</nowiki></code></td></tr>
<tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">Out[7]:=</code></td>
<td><code style="white-space: pre; color: black; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>4</nowiki></code></td></tr>
</table>
<table><tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">In[8]:=</code></td>
<td><code style="white-space: pre; color: red; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>Show[DrawMorseLink[Knot[10, 114]]]</nowiki></code></td></tr>
<tr align=left><td></td><td>[[Image:10_114_ML.gif]]</td></tr><tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">Out[8]:=</code></td>
<td><code style="white-space: pre; color: black; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>-Graphics-</nowiki></code></td></tr>
</table>
<table><tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">In[9]:=</code></td>
<td><code style="white-space: pre; color: red; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki> (#[Knot[10, 114]]&) /@ {
SymmetryType, UnknottingNumber, ThreeGenus,
BridgeIndex, SuperBridgeIndex, NakanishiIndex
}</nowiki></code></td></tr>
<tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">Out[9]:=</code></td>
<td><code style="white-space: pre; color: black; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>{Reversible, 1, 3, 3, NotAvailable, 1}</nowiki></code></td></tr>
</table>
<table><tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">In[10]:=</code></td>
<td><code style="white-space: pre; color: red; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>alex = Alexander[Knot[10, 114]][t]</nowiki></code></td></tr>
<tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">Out[10]:=</code></td>
<td><code style="white-space: pre; color: black; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki> 2 10 21 2 3
27 - -- + -- - -- - 21 t + 10 t - 2 t
3 2 t
t t</nowiki></code></td></tr>
</table>
<table><tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">In[11]:=</code></td>
<td><code style="white-space: pre; color: red; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>Conway[Knot[10, 114]][z]</nowiki></code></td></tr>
<tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">Out[11]:=</code></td>
<td><code style="white-space: pre; color: black; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki> 2 4 6
1 + z - 2 z - 2 z</nowiki></code></td></tr>
</table>
<table><tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">In[12]:=</code></td>
<td><code style="white-space: pre; color: red; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>Select[AllKnots[], (alex === Alexander[#][t])&]</nowiki></code></td></tr>
<tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">Out[12]:=</code></td>
<td><code style="white-space: pre; color: black; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>{Knot[10, 114], Knot[11, Alternating, 93]}</nowiki></code></td></tr>
</table>
<table><tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">In[13]:=</code></td>
<td><code style="white-space: pre; color: red; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>{KnotDet[Knot[10, 114]], KnotSignature[Knot[10, 114]]}</nowiki></code></td></tr>
<tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">Out[13]:=</code></td>
<td><code style="white-space: pre; color: black; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>{93, 0}</nowiki></code></td></tr>
</table>
<table><tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">In[14]:=</code></td>
<td><code style="white-space: pre; color: red; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>Jones[Knot[10, 114]][q]</nowiki></code></td></tr>
<tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">Out[14]:=</code></td>
<td><code style="white-space: pre; color: black; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki> -6 4 7 11 15 15 2 3 4
15 + q - -- + -- - -- + -- - -- - 12 q + 8 q - 4 q + q
5 4 3 2 q
q q q q</nowiki></code></td></tr>
</table>
<table><tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">In[15]:=</code></td>
<td><code style="white-space: pre; color: red; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>Select[AllKnots[], (J === Jones[#][q] || (J /. q-> 1/q) === Jones[#][q])&]</nowiki></code></td></tr>
<tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">Out[15]:=</code></td>
<td><code style="white-space: pre; color: black; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>{Knot[10, 114]}</nowiki></code></td></tr>
</table>
<table><tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">In[16]:=</code></td>
<td><code style="white-space: pre; color: red; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>A2Invariant[Knot[10, 114]][q]</nowiki></code></td></tr>
<tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">Out[16]:=</code></td>
<td><code style="white-space: pre; color: black; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki> -18 2 3 4 2 2 2 4 6 8 10
-2 + q - --- - --- + -- + -- + -- + 3 q - 3 q + q + q - 2 q +
16 10 8 4 2
q q q q q

12
q</nowiki></code></td></tr>
</table>
<table><tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">In[17]:=</code></td>
<td><code style="white-space: pre; color: red; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>HOMFLYPT[Knot[10, 114]][a, z]</nowiki></code></td></tr>
<tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">Out[17]:=</code></td>
<td><code style="white-space: pre; color: black; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki> 2 4
2 4 2 z 4 2 4 z 2 4 4 4 6 2 6
2 a - a - z + -- + a z - 2 z + -- - 2 a z + a z - z - a z
2 2
a a</nowiki></code></td></tr>
</table>
<table><tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">In[18]:=</code></td>
<td><code style="white-space: pre; color: red; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>Kauffman[Knot[10, 114]][a, z]</nowiki></code></td></tr>
<tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">Out[18]:=</code></td>
<td><code style="white-space: pre; color: black; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki> 2 3
2 4 z 3 2 z 2 2 4 2 2 z
-2 a - a - - - 3 a z - 2 a z + ---- - 5 a z - 3 a z - ---- +
a 2 3
a a

3 4 4
5 z 3 3 3 5 3 4 z 8 z 2 4
---- + 18 a z + 18 a z + 7 a z + z + -- - ---- + 26 a z +
a 4 2
a a

5 5
4 4 6 4 4 z 13 z 5 3 5 5 5
14 a z - 2 a z + ---- - ----- - 27 a z - 21 a z - 11 a z -
3 a
a

6 7
6 8 z 2 6 4 6 6 6 10 z 7
9 z + ---- - 35 a z - 17 a z + a z + ----- + 8 a z +
2 a
a

3 7 5 7 8 2 8 4 8 9 3 9
2 a z + 4 a z + 8 z + 14 a z + 6 a z + 3 a z + 3 a z</nowiki></code></td></tr>
</table>
<table><tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">In[19]:=</code></td>
<td><code style="white-space: pre; color: red; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>{Vassiliev[2][Knot[10, 114]], Vassiliev[3][Knot[10, 114]]}</nowiki></code></td></tr>
<tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">Out[19]:=</code></td>
<td><code style="white-space: pre; color: black; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>{1, -1}</nowiki></code></td></tr>
</table>
<table><tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">In[20]:=</code></td>
<td><code style="white-space: pre; color: red; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>Kh[Knot[10, 114]][q, t]</nowiki></code></td></tr>
<tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">Out[20]:=</code></td>
<td><code style="white-space: pre; color: black; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>8 1 3 1 4 3 7 4
- + 8 q + ------ + ------ + ----- + ----- + ----- + ----- + ----- +
q 13 6 11 5 9 5 9 4 7 4 7 3 5 3
q t q t q t q t q t q t q t

8 7 7 8 3 3 2 5 2
----- + ----- + ---- + --- + 5 q t + 7 q t + 3 q t + 5 q t +
5 2 3 2 3 q t
q t q t q t

5 3 7 3 9 4
q t + 3 q t + q t</nowiki></code></td></tr>
</table>
<table><tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">In[21]:=</code></td>
<td><code style="white-space: pre; color: red; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>ColouredJones[Knot[10, 114], 2][q]</nowiki></code></td></tr>
<tr align=left>
<td width=70px><code style="color: blue; border: 0px; padding: 0em">Out[21]:=</code></td>
<td><code style="white-space: pre; color: black; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki> -18 4 2 14 24 7 58 47 50 121 47
144 + q - --- + --- + --- - --- - --- + --- - --- - --- + --- - -- -
17 16 15 14 13 12 11 10 9 8
q q q q q q q q q q

117 170 20 173 179 18 188 2 3
--- + --- - -- - --- + --- + -- - --- + 44 q - 150 q + 82 q +
7 6 5 4 3 2 q
q q q q q q

4 5 6 7 8 9 10 11 12
42 q - 81 q + 31 q + 20 q - 26 q + 8 q + 4 q - 4 q + q</nowiki></code></td></tr>
</table> }}

Knot Atlas - User contributions [en]

10 114