View source for 10 60

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{{Rolfsen Knot Page|
n = 10 |
k = 60 |
KnotilusURL = http://srankin.math.uwo.ca/cgi-bin/retrieve.cgi/1,-4,3,-1,2,-7,6,-3,4,-2,5,-10,9,-6,7,-5,8,-9,10,-8/goTop.html |
braid_table     = <table cellspacing=0 cellpadding=0 border=0>
<tr><td>[[Image:BraidPart3.gif]][[Image:BraidPart0.gif]][[Image:BraidPart3.gif]][[Image:BraidPart0.gif]][[Image:BraidPart0.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:BraidPart1.gif]][[Image:BraidPart4.gif]][[Image:BraidPart1.gif]][[Image:BraidPart1.gif]][[Image:BraidPart0.gif]][[Image:BraidPart1.gif]][[Image:BraidPart0.gif]][[Image:BraidPart3.gif]][[Image:BraidPart0.gif]][[Image:BraidPart0.gif]]</td></tr>
<tr><td>[[Image:BraidPart0.gif]][[Image:BraidPart2.gif]][[Image:BraidPart0.gif]][[Image:BraidPart2.gif]][[Image:BraidPart2.gif]][[Image:BraidPart3.gif]][[Image:BraidPart2.gif]][[Image:BraidPart3.gif]][[Image:BraidPart4.gif]][[Image:BraidPart1.gif]][[Image:BraidPart0.gif]]</td></tr>
<tr><td>[[Image:BraidPart0.gif]][[Image:BraidPart0.gif]][[Image:BraidPart0.gif]][[Image:BraidPart0.gif]][[Image:BraidPart0.gif]][[Image:BraidPart4.gif]][[Image:BraidPart0.gif]][[Image:BraidPart4.gif]][[Image:BraidPart3.gif]][[Image:BraidPart2.gif]][[Image:BraidPart3.gif]]</td></tr>
<tr><td>[[Image:BraidPart0.gif]][[Image:BraidPart0.gif]][[Image:BraidPart0.gif]][[Image:BraidPart0.gif]][[Image:BraidPart0.gif]][[Image:BraidPart0.gif]][[Image:BraidPart0.gif]][[Image:BraidPart0.gif]][[Image:BraidPart4.gif]][[Image:BraidPart0.gif]][[Image:BraidPart4.gif]]</td></tr>
</table> |
braid_crossings = 12 |
braid_width     = 5 |
braid_index     = 5 |
same_alexander  = [[K11n165]],  |
same_jones      = [[10_86]],  |
khovanov_table  = <table border=1>
<tr align=center>
<td width=13.3333%><table cellpadding=0 cellspacing=0>
  <tr><td>\</td><td>&nbsp;</td><td>r</td></tr>
<tr><td>&nbsp;</td><td>&nbsp;\&nbsp;</td><td>&nbsp;</td></tr>
<tr><td>j</td><td>&nbsp;</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%>&chi;</td></tr>
<tr align=center><td>9</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td bgcolor=yellow>1</td><td>1</td></tr>
<tr align=center><td>7</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td bgcolor=yellow>3</td><td bgcolor=yellow>&nbsp;</td><td>-3</td></tr>
<tr align=center><td>5</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td bgcolor=yellow>5</td><td bgcolor=yellow>1</td><td>&nbsp;</td><td>4</td></tr>
<tr align=center><td>3</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td bgcolor=yellow>6</td><td bgcolor=yellow>3</td><td>&nbsp;</td><td>&nbsp;</td><td>-3</td></tr>
<tr align=center><td>1</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td bgcolor=yellow>8</td><td bgcolor=yellow>5</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>3</td></tr>
<tr align=center><td>-1</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td bgcolor=yellow>7</td><td bgcolor=yellow>7</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>0</td></tr>
<tr align=center><td>-3</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td bgcolor=yellow>6</td><td bgcolor=yellow>7</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>-1</td></tr>
<tr align=center><td>-5</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td bgcolor=yellow>4</td><td bgcolor=yellow>7</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>3</td></tr>
<tr align=center><td>-7</td><td>&nbsp;</td><td>&nbsp;</td><td bgcolor=yellow>2</td><td bgcolor=yellow>6</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>-4</td></tr>
<tr align=center><td>-9</td><td>&nbsp;</td><td bgcolor=yellow>1</td><td bgcolor=yellow>4</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>3</td></tr>
<tr align=center><td>-11</td><td bgcolor=yellow>&nbsp;</td><td bgcolor=yellow>2</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>-2</td></tr>
<tr align=center><td>-13</td><td bgcolor=yellow>1</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>1</td></tr>
</table> |
coloured_jones_2 = <math>q^{12}-4 q^{11}+4 q^{10}+9 q^9-28 q^8+17 q^7+39 q^6-80 q^5+28 q^4+91 q^3-136 q^2+22 q+143-162 q^{-1} - q^{-2} +165 q^{-3} -144 q^{-4} -28 q^{-5} +147 q^{-6} -93 q^{-7} -42 q^{-8} +97 q^{-9} -39 q^{-10} -34 q^{-11} +43 q^{-12} -8 q^{-13} -15 q^{-14} +11 q^{-15} -3 q^{-17} + q^{-18} </math> |
coloured_jones_3 = <math>q^{24}-4 q^{23}+4 q^{22}+5 q^{21}-8 q^{20}-15 q^{19}+20 q^{18}+41 q^{17}-49 q^{16}-80 q^{15}+80 q^{14}+154 q^{13}-116 q^{12}-268 q^{11}+150 q^{10}+411 q^9-157 q^8-585 q^7+144 q^6+752 q^5-81 q^4-920 q^3+10 q^2+1028 q+105-1111 q^{-1} -205 q^{-2} +1115 q^{-3} +328 q^{-4} -1087 q^{-5} -422 q^{-6} +996 q^{-7} +510 q^{-8} -872 q^{-9} -566 q^{-10} +712 q^{-11} +594 q^{-12} -540 q^{-13} -580 q^{-14} +367 q^{-15} +525 q^{-16} -207 q^{-17} -446 q^{-18} +89 q^{-19} +340 q^{-20} -5 q^{-21} -237 q^{-22} -37 q^{-23} +149 q^{-24} +46 q^{-25} -81 q^{-26} -40 q^{-27} +39 q^{-28} +26 q^{-29} -15 q^{-30} -15 q^{-31} +6 q^{-32} +5 q^{-33} -3 q^{-35} + q^{-36} </math> |
coloured_jones_4 = <math>q^{40}-4 q^{39}+4 q^{38}+5 q^{37}-12 q^{36}+5 q^{35}-12 q^{34}+32 q^{33}+22 q^{32}-82 q^{31}-q^{30}-22 q^{29}+169 q^{28}+110 q^{27}-320 q^{26}-143 q^{25}-63 q^{24}+615 q^{23}+473 q^{22}-800 q^{21}-714 q^{20}-375 q^{19}+1520 q^{18}+1528 q^{17}-1280 q^{16}-1950 q^{15}-1425 q^{14}+2619 q^{13}+3491 q^{12}-1172 q^{11}-3513 q^{10}-3439 q^9+3210 q^8+5875 q^7-126 q^6-4591 q^5-5888 q^4+2829 q^3+7705 q^2+1513 q-4619-7858 q^{-1} +1655 q^{-2} +8346 q^{-3} +3084 q^{-4} -3679 q^{-5} -8782 q^{-6} +153 q^{-7} +7773 q^{-8} +4205 q^{-9} -2126 q^{-10} -8618 q^{-11} -1359 q^{-12} +6248 q^{-13} +4757 q^{-14} -281 q^{-15} -7461 q^{-16} -2620 q^{-17} +4048 q^{-18} +4583 q^{-19} +1473 q^{-20} -5449 q^{-21} -3221 q^{-22} +1664 q^{-23} +3546 q^{-24} +2540 q^{-25} -3029 q^{-26} -2834 q^{-27} -158 q^{-28} +1950 q^{-29} +2512 q^{-30} -1016 q^{-31} -1717 q^{-32} -881 q^{-33} +550 q^{-34} +1659 q^{-35} +7 q^{-36} -623 q^{-37} -712 q^{-38} -119 q^{-39} +736 q^{-40} +192 q^{-41} -65 q^{-42} -308 q^{-43} -192 q^{-44} +215 q^{-45} +88 q^{-46} +51 q^{-47} -75 q^{-48} -88 q^{-49} +42 q^{-50} +15 q^{-51} +26 q^{-52} -8 q^{-53} -22 q^{-54} +6 q^{-55} +5 q^{-57} -3 q^{-59} + q^{-60} </math> |
coloured_jones_5 = <math>q^{60}-4 q^{59}+4 q^{58}+5 q^{57}-12 q^{56}+q^{55}+8 q^{54}+13 q^{52}-q^{51}-53 q^{50}-28 q^{49}+63 q^{48}+98 q^{47}+58 q^{46}-107 q^{45}-268 q^{44}-173 q^{43}+243 q^{42}+628 q^{41}+390 q^{40}-448 q^{39}-1214 q^{38}-955 q^{37}+629 q^{36}+2314 q^{35}+2043 q^{34}-760 q^{33}-3870 q^{32}-3950 q^{31}+379 q^{30}+5989 q^{29}+7057 q^{28}+788 q^{27}-8430 q^{26}-11461 q^{25}-3261 q^{24}+10649 q^{23}+17198 q^{22}+7522 q^{21}-12237 q^{20}-23812 q^{19}-13540 q^{18}+12335 q^{17}+30612 q^{16}+21362 q^{15}-10740 q^{14}-36811 q^{13}-30057 q^{12}+7035 q^{11}+41591 q^{10}+39116 q^9-1816 q^8-44414 q^7-47270 q^6-4751 q^5+45119 q^4+54206 q^3+11476 q^2-43822 q-58974-18273 q^{-1} +40926 q^{-2} +62017 q^{-3} +24100 q^{-4} -36876 q^{-5} -62884 q^{-6} -29276 q^{-7} +31978 q^{-8} +62395 q^{-9} +33340 q^{-10} -26575 q^{-11} -60287 q^{-12} -36755 q^{-13} +20653 q^{-14} +57144 q^{-15} +39304 q^{-16} -14307 q^{-17} -52724 q^{-18} -41185 q^{-19} +7582 q^{-20} +47206 q^{-21} +42059 q^{-22} -674 q^{-23} -40432 q^{-24} -41809 q^{-25} -6032 q^{-26} +32659 q^{-27} +40014 q^{-28} +11998 q^{-29} -24126 q^{-30} -36536 q^{-31} -16696 q^{-32} +15479 q^{-33} +31482 q^{-34} +19480 q^{-35} -7415 q^{-36} -25111 q^{-37} -20175 q^{-38} +607 q^{-39} +18265 q^{-40} +18798 q^{-41} +4212 q^{-42} -11549 q^{-43} -15802 q^{-44} -6997 q^{-45} +5868 q^{-46} +11967 q^{-47} +7727 q^{-48} -1657 q^{-49} -7988 q^{-50} -7003 q^{-51} -935 q^{-52} +4579 q^{-53} +5464 q^{-54} +2059 q^{-55} -2081 q^{-56} -3687 q^{-57} -2191 q^{-58} +535 q^{-59} +2177 q^{-60} +1772 q^{-61} +197 q^{-62} -1078 q^{-63} -1206 q^{-64} -412 q^{-65} +429 q^{-66} +691 q^{-67} +384 q^{-68} -103 q^{-69} -366 q^{-70} -251 q^{-71} - q^{-72} +138 q^{-73} +147 q^{-74} +48 q^{-75} -67 q^{-76} -73 q^{-77} -15 q^{-78} +9 q^{-79} +24 q^{-80} +26 q^{-81} -8 q^{-82} -15 q^{-83} - q^{-84} +5 q^{-87} -3 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]:=&nbsp;&nbsp;&nbsp;&nbsp;</pre></td>
         <td align=left><pre style="color: red; border: 0px; padding: 0em">&lt;&lt; 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, 60]]</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[4, 2, 5, 1], X[10, 6, 11, 5], X[8, 3, 9, 4], X[2, 9, 3, 10], 
 
  X[16, 12, 17, 11], X[14, 7, 15, 8], X[6, 15, 7, 16], 
 
  X[20, 18, 1, 17], X[18, 13, 19, 14], X[12, 19, 13, 20]]</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, 60]]</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, -4, 3, -1, 2, -7, 6, -3, 4, -2, 5, -10, 9, -6, 7, -5, 8, 
 
  -9, 10, -8]</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, 60]]</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[4, 8, 10, 14, 2, 16, 18, 6, 20, 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, 60]]</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[5, {-1, 2, -1, 2, 2, -3, 2, -3, -2, -4, 3, -4}]</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>{5, 12}</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, 60]]</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>5</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, 60]]]</nowiki></code></td></tr>
<tr align=left><td></td><td>[[Image:10_60_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, 60]]&) /@ {
                   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, 60]][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>      -3   7    20             2    3
29 - t   + -- - -- - 20 t + 7 t  - t
            2   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, 60]][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  + z  - 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, 60], Knot[11, NonAlternating, 165]}</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, 60]], KnotSignature[Knot[10, 60]]}</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>{85, 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, 60]][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   3    6    10   13   14             2      3    4
14 + q   - -- + -- - -- + -- - -- - 11 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, 60], Knot[10, 86]}</nowiki></code></td></tr>
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<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, 60]][q]</nowiki></code></td></tr>
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<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>      -20    -18    2     3    3     -4   2       2      4    6
-2 + q    + q    - --- - --- + -- + q   + -- + 3 q  - 3 q  + q  + 
                    16    10    8          2
                   q     q     q          q
 
     8      10    12
  2 q  - 2 q   + q</nowiki></code></td></tr>
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<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, 60]][a, z]</nowiki></code></td></tr>
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<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
      -2      2      4    6      2   z       2  2      4  2      4
-2 + a   + 4 a  - 3 a  + a  - 5 z  + -- + 6 a  z  - 3 a  z  - 3 z  + 
                                      2
                                     a
 
   4
  z       2  4    6
  -- + 3 a  z  - z
   2
  a</nowiki></code></td></tr>
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<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, 60]][a, z]</nowiki></code></td></tr>
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<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      2      4    6   2 z              3        5         2
-2 - a   - 4 a  - 3 a  - a  - --- - 6 a z - 7 a  z - 3 a  z + 14 z  + 
                               a
 
     2                                      3      3
  4 z        2  2       4  2      6  2   2 z    5 z          3
  ---- + 18 a  z  + 11 a  z  + 3 a  z  - ---- + ---- + 25 a z  + 
    2                                      3     a
   a                                      a
 
                                4      4
      3  3      5  3       4   z    9 z        2  4      4  4
  27 a  z  + 9 a  z  - 22 z  + -- - ---- - 17 a  z  - 8 a  z  - 
                                4     2
                               a     a
 
               5       5                                            6
     6  4   4 z    11 z          5       3  5      5  5      6   8 z
  3 a  z  + ---- - ----- - 38 a z  - 32 a  z  - 9 a  z  + 5 z  + ---- - 
              3      a                                             2
             a                                                    a
 
                                 7
     2  6      4  6    6  6   9 z          7       3  7      5  7
  7 a  z  - 3 a  z  + a  z  + ---- + 16 a z  + 10 a  z  + 3 a  z  + 
                               a
 
     8      2  8      4  8      9    3  9
  5 z  + 8 a  z  + 3 a  z  + a z  + a  z</nowiki></code></td></tr>
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<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, 60]], Vassiliev[3][Knot[10, 60]]}</nowiki></code></td></tr>
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<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>
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<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, 60]][q, t]</nowiki></code></td></tr>
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<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>7           1        2        1       4       2       6       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
 
    7       6      7      7               3        3  2      5  2
  ----- + ----- + ---- + --- + 5 q t + 6 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>
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<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, 60], 2][q]</nowiki></code></td></tr>
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<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    3    11    15     8    43    34    39    97   42   93
143 + q    - --- + --- - --- - --- + --- - --- - --- + -- - -- - -- + 
              17    15    14    13    12    11    10    9    8    7
             q     q     q     q     q     q     q     q    q    q
 
  147   28   144   165    -2   162               2       3       4
  --- - -- - --- + --- - q   - --- + 22 q - 136 q  + 91 q  + 28 q  - 
   6     5    4     3           q
  q     q    q     q
 
      5       6       7       8      9      10      11    12
  80 q  + 39 q  + 17 q  - 28 q  + 9 q  + 4 q   - 4 q   + q</nowiki></code></td></tr>
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