View source for 9 38

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{{Rolfsen Knot Page|
n = 9 |
k = 38 |
KnotilusURL = http://srankin.math.uwo.ca/cgi-bin/retrieve.cgi/-1,9,-5,6,-2,1,-3,4,-6,5,-8,7,-9,2,-4,8,-7,3/goTop.html |
braid_table     = <table cellspacing=0 cellpadding=0 border=0>
<tr><td>[[Image:BraidPart3.gif]][[Image:BraidPart3.gif]][[Image:BraidPart0.gif]][[Image:BraidPart0.gif]][[Image:BraidPart0.gif]][[Image:BraidPart0.gif]][[Image:BraidPart1.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:BraidPart3.gif]][[Image:BraidPart0.gif]][[Image:BraidPart3.gif]][[Image:BraidPart2.gif]][[Image:BraidPart3.gif]][[Image:BraidPart0.gif]][[Image:BraidPart0.gif]][[Image:BraidPart3.gif]]</td></tr>
<tr><td>[[Image:BraidPart0.gif]][[Image:BraidPart0.gif]][[Image:BraidPart4.gif]][[Image:BraidPart4.gif]][[Image:BraidPart1.gif]][[Image:BraidPart4.gif]][[Image:BraidPart0.gif]][[Image:BraidPart4.gif]][[Image:BraidPart3.gif]][[Image:BraidPart3.gif]][[Image:BraidPart4.gif]]</td></tr>
<tr><td>[[Image:BraidPart0.gif]][[Image:BraidPart0.gif]][[Image:BraidPart0.gif]][[Image:BraidPart0.gif]][[Image:BraidPart2.gif]][[Image:BraidPart0.gif]][[Image:BraidPart0.gif]][[Image:BraidPart0.gif]][[Image:BraidPart4.gif]][[Image:BraidPart4.gif]][[Image:BraidPart0.gif]]</td></tr>
</table> |
braid_crossings = 11 |
braid_width     = 4 |
braid_index     = 4 |
same_alexander  = [[10_63]],  |
same_jones      =  |
khovanov_table  = <table border=1>
<tr align=center>
<td width=14.2857%><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=7.14286%>-9</td    ><td width=7.14286%>-8</td    ><td width=7.14286%>-7</td    ><td width=7.14286%>-6</td    ><td width=7.14286%>-5</td    ><td width=7.14286%>-4</td    ><td width=7.14286%>-3</td    ><td width=7.14286%>-2</td    ><td width=7.14286%>-1</td    ><td width=7.14286%>0</td    ><td width=14.2857%>&chi;</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>&nbsp;</td><td>&nbsp;</td><td bgcolor=yellow>1</td><td>1</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>3</td><td bgcolor=yellow>1</td><td>-2</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 bgcolor=yellow>4</td><td bgcolor=yellow>&nbsp;</td><td>&nbsp;</td><td>4</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 bgcolor=yellow>4</td><td bgcolor=yellow>3</td><td>&nbsp;</td><td>&nbsp;</td><td>-1</td></tr>
<tr align=center><td>-11</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td bgcolor=yellow>6</td><td bgcolor=yellow>4</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>2</td></tr>
<tr align=center><td>-13</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td bgcolor=yellow>4</td><td bgcolor=yellow>4</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>0</td></tr>
<tr align=center><td>-15</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td bgcolor=yellow>4</td><td bgcolor=yellow>6</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>-2</td></tr>
<tr align=center><td>-17</td><td>&nbsp;</td><td>&nbsp;</td><td bgcolor=yellow>2</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>2</td></tr>
<tr align=center><td>-19</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>-3</td></tr>
<tr align=center><td>-21</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>2</td></tr>
<tr align=center><td>-23</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>-1</td></tr>
</table> |
coloured_jones_2 = <math> q^{-4} -3 q^{-5} +3 q^{-6} +8 q^{-7} -20 q^{-8} +7 q^{-9} +34 q^{-10} -50 q^{-11} +2 q^{-12} +71 q^{-13} -74 q^{-14} -14 q^{-15} +97 q^{-16} -77 q^{-17} -29 q^{-18} +98 q^{-19} -57 q^{-20} -37 q^{-21} +74 q^{-22} -27 q^{-23} -32 q^{-24} +38 q^{-25} -5 q^{-26} -16 q^{-27} +10 q^{-28} + q^{-29} -3 q^{-30} + q^{-31} </math> |
coloured_jones_3 = <math> q^{-6} -3 q^{-7} +3 q^{-8} +4 q^{-9} -4 q^{-10} -14 q^{-11} +11 q^{-12} +34 q^{-13} -16 q^{-14} -71 q^{-15} +20 q^{-16} +117 q^{-17} +6 q^{-18} -197 q^{-19} -29 q^{-20} +257 q^{-21} +100 q^{-22} -334 q^{-23} -162 q^{-24} +369 q^{-25} +253 q^{-26} -407 q^{-27} -315 q^{-28} +399 q^{-29} +380 q^{-30} -385 q^{-31} -417 q^{-32} +343 q^{-33} +440 q^{-34} -287 q^{-35} -446 q^{-36} +224 q^{-37} +425 q^{-38} -142 q^{-39} -395 q^{-40} +71 q^{-41} +338 q^{-42} -3 q^{-43} -272 q^{-44} -41 q^{-45} +192 q^{-46} +69 q^{-47} -125 q^{-48} -65 q^{-49} +64 q^{-50} +53 q^{-51} -27 q^{-52} -33 q^{-53} +8 q^{-54} +16 q^{-55} -2 q^{-56} -5 q^{-57} - q^{-58} +3 q^{-59} - q^{-60} </math> |
coloured_jones_4 = <math> q^{-8} -3 q^{-9} +3 q^{-10} +4 q^{-11} -8 q^{-12} +2 q^{-13} -10 q^{-14} +21 q^{-15} +25 q^{-16} -44 q^{-17} -17 q^{-18} -45 q^{-19} +95 q^{-20} +138 q^{-21} -108 q^{-22} -139 q^{-23} -231 q^{-24} +236 q^{-25} +503 q^{-26} -38 q^{-27} -377 q^{-28} -809 q^{-29} +219 q^{-30} +1158 q^{-31} +466 q^{-32} -473 q^{-33} -1785 q^{-34} -269 q^{-35} +1751 q^{-36} +1385 q^{-37} -107 q^{-38} -2731 q^{-39} -1158 q^{-40} +1900 q^{-41} +2279 q^{-42} +627 q^{-43} -3221 q^{-44} -2008 q^{-45} +1606 q^{-46} +2768 q^{-47} +1373 q^{-48} -3202 q^{-49} -2515 q^{-50} +1093 q^{-51} +2809 q^{-52} +1921 q^{-53} -2790 q^{-54} -2672 q^{-55} +459 q^{-56} +2498 q^{-57} +2274 q^{-58} -2054 q^{-59} -2528 q^{-60} -252 q^{-61} +1859 q^{-62} +2382 q^{-63} -1071 q^{-64} -2026 q^{-65} -862 q^{-66} +956 q^{-67} +2086 q^{-68} -131 q^{-69} -1198 q^{-70} -1052 q^{-71} +96 q^{-72} +1364 q^{-73} +365 q^{-74} -364 q^{-75} -743 q^{-76} -328 q^{-77} +572 q^{-78} +330 q^{-79} +77 q^{-80} -284 q^{-81} -281 q^{-82} +118 q^{-83} +111 q^{-84} +112 q^{-85} -40 q^{-86} -102 q^{-87} +7 q^{-88} +5 q^{-89} +35 q^{-90} +4 q^{-91} -19 q^{-92} +2 q^{-93} -3 q^{-94} +5 q^{-95} + q^{-96} -3 q^{-97} + q^{-98} </math> |
coloured_jones_5 = <math> q^{-10} -3 q^{-11} +3 q^{-12} +4 q^{-13} -8 q^{-14} -2 q^{-15} +6 q^{-16} +12 q^{-18} +7 q^{-19} -33 q^{-20} -37 q^{-21} +22 q^{-22} +55 q^{-23} +82 q^{-24} +11 q^{-25} -145 q^{-26} -224 q^{-27} -54 q^{-28} +267 q^{-29} +477 q^{-30} +270 q^{-31} -394 q^{-32} -953 q^{-33} -729 q^{-34} +373 q^{-35} +1631 q^{-36} +1658 q^{-37} -80 q^{-38} -2379 q^{-39} -3040 q^{-40} -904 q^{-41} +2975 q^{-42} +5037 q^{-43} +2512 q^{-44} -3103 q^{-45} -7067 q^{-46} -5137 q^{-47} +2424 q^{-48} +9222 q^{-49} +8197 q^{-50} -908 q^{-51} -10595 q^{-52} -11714 q^{-53} -1536 q^{-54} +11480 q^{-55} +14870 q^{-56} +4438 q^{-57} -11246 q^{-58} -17656 q^{-59} -7573 q^{-60} +10499 q^{-61} +19516 q^{-62} +10432 q^{-63} -9024 q^{-64} -20712 q^{-65} -12892 q^{-66} +7498 q^{-67} +21044 q^{-68} +14737 q^{-69} -5739 q^{-70} -20919 q^{-71} -16091 q^{-72} +4156 q^{-73} +20295 q^{-74} +16953 q^{-75} -2520 q^{-76} -19340 q^{-77} -17535 q^{-78} +891 q^{-79} +18076 q^{-80} +17809 q^{-81} +828 q^{-82} -16377 q^{-83} -17823 q^{-84} -2746 q^{-85} +14306 q^{-86} +17498 q^{-87} +4643 q^{-88} -11685 q^{-89} -16664 q^{-90} -6553 q^{-91} +8704 q^{-92} +15262 q^{-93} +8050 q^{-94} -5441 q^{-95} -13152 q^{-96} -9040 q^{-97} +2285 q^{-98} +10483 q^{-99} +9150 q^{-100} +522 q^{-101} -7483 q^{-102} -8445 q^{-103} -2518 q^{-104} +4510 q^{-105} +6930 q^{-106} +3639 q^{-107} -1944 q^{-108} -5079 q^{-109} -3758 q^{-110} +121 q^{-111} +3113 q^{-112} +3212 q^{-113} +928 q^{-114} -1549 q^{-115} -2289 q^{-116} -1208 q^{-117} +451 q^{-118} +1356 q^{-119} +1054 q^{-120} +100 q^{-121} -642 q^{-122} -707 q^{-123} -263 q^{-124} +221 q^{-125} +370 q^{-126} +219 q^{-127} -14 q^{-128} -163 q^{-129} -136 q^{-130} -18 q^{-131} +54 q^{-132} +46 q^{-133} +29 q^{-134} -8 q^{-135} -30 q^{-136} -6 q^{-137} +7 q^{-138} + q^{-139} +3 q^{-140} +3 q^{-141} -5 q^{-142} - q^{-143} +3 q^{-144} - q^{-145} </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[9, 38]]</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[1, 6, 2, 7], X[5, 14, 6, 15], X[7, 18, 8, 1], X[15, 8, 16, 9], 
 
  X[3, 10, 4, 11], X[9, 4, 10, 5], X[17, 12, 18, 13], 
 
  X[11, 16, 12, 17], X[13, 2, 14, 3]]</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[9, 38]]</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, 9, -5, 6, -2, 1, -3, 4, -6, 5, -8, 7, -9, 2, -4, 8, -7, 3]</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[9, 38]]</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, 10, 14, 18, 4, 16, 2, 8, 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[9, 38]]</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, -2, 3, -2, 1, -2, -3, -3, -2}]</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[9, 38]]</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[9, 38]]]</nowiki></code></td></tr>
<tr align=left><td></td><td>[[Image:9_38_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[9, 38]]&) /@ {
                  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, {2, 3}, 2, 3, {4, 7}, 2}</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[9, 38]][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>     5    14             2
19 + -- - -- - 14 t + 5 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[9, 38]][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
1 + 6 z  + 5 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[9, 38], Knot[10, 63]}</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[9, 38]], KnotSignature[Knot[9, 38]]}</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>{57, -4}</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[9, 38]][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>  -11    3    6    8    10   10   8    7    3     -2
-q    + --- - -- + -- - -- + -- - -- + -- - -- + q
         10    9    8    7    6    5    4    3
        q     q    q    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[9, 38]}</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[9, 38]][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>  -34    -32    -30    3     2     -22    2     4     -12    2    2
-q    + q    + q    - --- - --- - q    + --- + --- + q    + --- - -- + 
                       28    24           20    16           10    8
                      q     q            q     q            q     q
 
   -6
  q</nowiki></code></td></tr>
</table>
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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[9, 38]][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>   6      8    4  2      6  2    8  2    10  2    4  4      6  4    8  4
4 a  - 3 a  + a  z  + 7 a  z  - a  z  - a   z  + a  z  + 3 a  z  + a  z</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[9, 38]][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>    6      8      7      9      11      13      4  2      6  2
-4 a  - 3 a  + 3 a  z + a  z - a   z + a   z - a  z  + 9 a  z  + 
 
      8  2      10  2      12  2      5  3      7  3      9  3
  10 a  z  + 3 a   z  + 3 a   z  - 2 a  z  - 2 a  z  + 5 a  z  + 
 
     11  3      13  3    4  4       6  4       8  4       10  4
  3 a   z  - 2 a   z  + a  z  - 10 a  z  - 15 a  z  - 10 a   z  - 
 
     12  4      5  5      7  5       9  5      11  5    13  5
  6 a   z  + 3 a  z  - 4 a  z  - 15 a  z  - 7 a   z  + a   z  + 
 
     6  6      8  6      10  6      12  6      7  7      9  7
  6 a  z  + 6 a  z  + 3 a   z  + 3 a   z  + 5 a  z  + 9 a  z  + 
 
     11  7      8  8      10  8
  4 a   z  + 2 a  z  + 2 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[9, 38]], Vassiliev[3][Knot[9, 38]]}</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>{6, -14}</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[9, 38]][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> -5    -3     1        2        1        4        2        4
q   + q   + ------ + ------ + ------ + ------ + ------ + ------ + 
             23  9    21  8    19  8    19  7    17  7    17  6
            q   t    q   t    q   t    q   t    q   t    q   t
 
    4        6        4        4        6        4        4       3
  ------ + ------ + ------ + ------ + ------ + ------ + ----- + ----- + 
   15  6    15  5    13  5    13  4    11  4    11  3    9  3    9  2
  q   t    q   t    q   t    q   t    q   t    q   t    q  t    q  t
 
    4      3
  ----- + ----
   7  2    5
  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[9, 38], 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> -31    3     -29   10    16     5    38    32    27    74    37
q    - --- + q    + --- - --- - --- + --- - --- - --- + --- - --- - 
        30           28    27    26    25    24    23    22    21
       q            q     q     q     q     q     q     q     q
 
  57    98    29    77    97    14    74    71     2    50    34
  --- + --- - --- - --- + --- - --- - --- + --- + --- - --- + --- + 
   20    19    18    17    16    15    14    13    12    11    10
  q     q     q     q     q     q     q     q     q     q     q
 
  7    20   8    3    3     -4
  -- - -- + -- + -- - -- + q
   9    8    7    6    5
  q    q    q    q    q</nowiki></code></td></tr>
</table>  }}