View source for 9 46

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{{Rolfsen Knot Page|
n = 9 |
k = 46 |
KnotilusURL = http://srankin.math.uwo.ca/cgi-bin/retrieve.cgi/1,-4,3,-1,-5,6,-2,9,-8,-3,4,2,-6,5,-7,8,-9,7/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:BraidPart1.gif]][[Image:BraidPart0.gif]][[Image:BraidPart0.gif]]</td></tr>
<tr><td>[[Image:BraidPart4.gif]][[Image:BraidPart1.gif]][[Image:BraidPart4.gif]][[Image:BraidPart1.gif]][[Image:BraidPart0.gif]][[Image:BraidPart3.gif]][[Image:BraidPart2.gif]][[Image:BraidPart3.gif]][[Image:BraidPart0.gif]]</td></tr>
<tr><td>[[Image:BraidPart0.gif]][[Image:BraidPart2.gif]][[Image:BraidPart0.gif]][[Image:BraidPart2.gif]][[Image:BraidPart3.gif]][[Image:BraidPart4.gif]][[Image:BraidPart0.gif]][[Image:BraidPart4.gif]][[Image:BraidPart3.gif]]</td></tr>
<tr><td>[[Image:BraidPart0.gif]][[Image:BraidPart0.gif]][[Image:BraidPart0.gif]][[Image:BraidPart0.gif]][[Image:BraidPart4.gif]][[Image:BraidPart0.gif]][[Image:BraidPart0.gif]][[Image:BraidPart0.gif]][[Image:BraidPart4.gif]]</td></tr>
</table> |
braid_crossings = 9 |
braid_width     = 4 |
braid_index     = 4 |
same_alexander  = [[6_1]], [[K11n67]], [[K11n97]], [[K11n139]],  |
same_jones      =  |
khovanov_table  = <table border=1>
<tr align=center>
<td width=18.1818%><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=9.09091%>-6</td    ><td width=9.09091%>-5</td    ><td width=9.09091%>-4</td    ><td width=9.09091%>-3</td    ><td width=9.09091%>-2</td    ><td width=9.09091%>-1</td    ><td width=9.09091%>0</td    ><td width=18.1818%>&chi;</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>2</td><td>2</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>&nbsp;</td><td bgcolor=yellow>1</td><td>1</td></tr>
<tr align=center><td>-3</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td bgcolor=yellow>1</td><td bgcolor=yellow>1</td><td>&nbsp;</td><td>0</td></tr>
<tr align=center><td>-5</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td bgcolor=yellow>1</td><td bgcolor=yellow>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>-1</td></tr>
<tr align=center><td>-7</td><td>&nbsp;</td><td>&nbsp;</td><td bgcolor=yellow>&nbsp;</td><td bgcolor=yellow>1</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>-1</td></tr>
<tr align=center><td>-9</td><td>&nbsp;</td><td bgcolor=yellow>1</td><td bgcolor=yellow>1</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>0</td></tr>
<tr align=center><td>-11</td><td bgcolor=yellow>&nbsp;</td><td bgcolor=yellow>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>0</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>1</td></tr>
</table> |
coloured_jones_2 = <math>q^2+ q^{-1} -2 q^{-3} +2 q^{-9} - q^{-10} +2 q^{-12} -2 q^{-13} - q^{-14} +2 q^{-15} - q^{-16} - q^{-17} + q^{-18} </math> |
coloured_jones_3 = <math>2 q^4-2 q^2-3 q+6+2 q^{-1} -4 q^{-2} -6 q^{-3} +5 q^{-4} +4 q^{-5} -4 q^{-6} -5 q^{-7} +5 q^{-8} +5 q^{-9} -4 q^{-10} -3 q^{-11} +4 q^{-12} +4 q^{-13} -4 q^{-14} -3 q^{-15} +2 q^{-16} +3 q^{-17} -3 q^{-18} -2 q^{-19} + q^{-20} + q^{-21} - q^{-22} + q^{-24} - q^{-26} + q^{-27} +2 q^{-28} - q^{-29} -2 q^{-30} +2 q^{-32} - q^{-34} - q^{-35} + q^{-36} </math> |
coloured_jones_4 = <math>q^8+2 q^6-2 q^5-4 q^4+q^3+q^2+8 q-2-9 q^{-1} - q^{-2} +13 q^{-4} - q^{-5} -10 q^{-6} -3 q^{-7} - q^{-8} +15 q^{-9} + q^{-10} -9 q^{-11} -3 q^{-12} - q^{-13} +12 q^{-14} + q^{-15} -8 q^{-16} -3 q^{-17} -3 q^{-18} +10 q^{-19} +2 q^{-20} -7 q^{-21} -3 q^{-22} -4 q^{-23} +8 q^{-24} +5 q^{-25} -4 q^{-26} -3 q^{-27} -5 q^{-28} +5 q^{-29} +7 q^{-30} - q^{-31} -2 q^{-32} -6 q^{-33} + q^{-34} +6 q^{-35} + q^{-36} - q^{-37} -4 q^{-38} -2 q^{-39} +3 q^{-40} + q^{-42} - q^{-43} -2 q^{-44} +3 q^{-45} -2 q^{-46} +4 q^{-50} -2 q^{-51} - q^{-52} - q^{-53} - q^{-54} +3 q^{-55} - q^{-58} - q^{-59} + q^{-60} </math> |
coloured_jones_5 = <math>2 q^{12}-2 q^9-2 q^8-3 q^7+2 q^6+6 q^5+6 q^4-2 q^3-8 q^2-11 q-1+11 q^{-1} +16 q^{-2} +3 q^{-3} -11 q^{-4} -17 q^{-5} -7 q^{-6} +10 q^{-7} +18 q^{-8} +10 q^{-9} -9 q^{-10} -17 q^{-11} -9 q^{-12} +8 q^{-13} +16 q^{-14} +10 q^{-15} -9 q^{-16} -16 q^{-17} -8 q^{-18} +8 q^{-19} +14 q^{-20} +8 q^{-21} -10 q^{-22} -15 q^{-23} -5 q^{-24} +7 q^{-25} +13 q^{-26} +7 q^{-27} -7 q^{-28} -12 q^{-29} -4 q^{-30} +4 q^{-31} +10 q^{-32} +7 q^{-33} -2 q^{-34} -8 q^{-35} -5 q^{-36} - q^{-37} +6 q^{-38} +6 q^{-39} +2 q^{-40} -4 q^{-41} -5 q^{-42} -4 q^{-43} +3 q^{-45} +5 q^{-46} +2 q^{-47} -2 q^{-48} -4 q^{-49} -4 q^{-50} -3 q^{-51} +4 q^{-52} +6 q^{-53} +3 q^{-54} -4 q^{-56} -6 q^{-57} - q^{-58} +4 q^{-59} +4 q^{-60} +4 q^{-61} - q^{-62} -4 q^{-63} -3 q^{-64} - q^{-65} + q^{-66} +3 q^{-67} + q^{-68} - q^{-69} - q^{-70} - q^{-74} - q^{-75} +2 q^{-77} +2 q^{-78} - q^{-80} - q^{-81} -2 q^{-82} +2 q^{-84} + q^{-85} - q^{-88} - q^{-89} + q^{-90} </math> |
coloured_jones_6 = <math>q^{18}+2 q^{16}-2 q^{14}-4 q^{13}-4 q^{12}-q^{11}+3 q^{10}+12 q^9+7 q^8+2 q^7-10 q^6-15 q^5-17 q^4-2 q^3+24 q^2+22 q+19-7 q^{-1} -23 q^{-2} -37 q^{-3} -16 q^{-4} +24 q^{-5} +30 q^{-6} +32 q^{-7} +2 q^{-8} -19 q^{-9} -44 q^{-10} -25 q^{-11} +18 q^{-12} +27 q^{-13} +35 q^{-14} +6 q^{-15} -14 q^{-16} -42 q^{-17} -27 q^{-18} +16 q^{-19} +25 q^{-20} +33 q^{-21} +4 q^{-22} -13 q^{-23} -41 q^{-24} -24 q^{-25} +17 q^{-26} +25 q^{-27} +32 q^{-28} +3 q^{-29} -13 q^{-30} -39 q^{-31} -20 q^{-32} +15 q^{-33} +22 q^{-34} +30 q^{-35} +5 q^{-36} -10 q^{-37} -36 q^{-38} -18 q^{-39} +10 q^{-40} +15 q^{-41} +27 q^{-42} +8 q^{-43} -4 q^{-44} -32 q^{-45} -17 q^{-46} +2 q^{-47} +8 q^{-48} +23 q^{-49} +11 q^{-50} +5 q^{-51} -24 q^{-52} -15 q^{-53} -6 q^{-54} - q^{-55} +17 q^{-56} +13 q^{-57} +14 q^{-58} -13 q^{-59} -9 q^{-60} -10 q^{-61} -10 q^{-62} +8 q^{-63} +9 q^{-64} +16 q^{-65} -3 q^{-66} + q^{-67} -7 q^{-68} -12 q^{-69} -2 q^{-70} +9 q^{-72} +9 q^{-74} + q^{-75} -6 q^{-76} -2 q^{-77} -6 q^{-78} -2 q^{-79} -5 q^{-80} +7 q^{-81} +5 q^{-82} +2 q^{-83} +5 q^{-84} -2 q^{-85} -4 q^{-86} -8 q^{-87} - q^{-88} +2 q^{-90} +8 q^{-91} +3 q^{-92} + q^{-93} -3 q^{-94} -3 q^{-95} -4 q^{-96} -3 q^{-97} +5 q^{-98} +2 q^{-100} + q^{-101} - q^{-103} -2 q^{-104} +4 q^{-105} -3 q^{-106} - q^{-107} - q^{-108} +5 q^{-112} - q^{-113} - q^{-115} - q^{-116} -2 q^{-117} - q^{-118} +3 q^{-119} + q^{-121} - q^{-124} - q^{-125} + q^{-126} </math> |
coloured_jones_7 = <math>2 q^{24}-4 q^{19}-4 q^{18}-5 q^{17}+2 q^{16}+6 q^{15}+8 q^{14}+12 q^{13}+8 q^{12}-4 q^{11}-20 q^{10}-29 q^9-15 q^8+6 q^7+19 q^6+37 q^5+40 q^4+11 q^3-27 q^2-58 q-47-17 q^{-1} +14 q^{-2} +56 q^{-3} +69 q^{-4} +38 q^{-5} -12 q^{-6} -63 q^{-7} -71 q^{-8} -40 q^{-9} -4 q^{-10} +53 q^{-11} +76 q^{-12} +52 q^{-13} +5 q^{-14} -53 q^{-15} -69 q^{-16} -47 q^{-17} -15 q^{-18} +46 q^{-19} +70 q^{-20} +49 q^{-21} +10 q^{-22} -47 q^{-23} -65 q^{-24} -44 q^{-25} -12 q^{-26} +46 q^{-27} +67 q^{-28} +44 q^{-29} +9 q^{-30} -48 q^{-31} -65 q^{-32} -43 q^{-33} -6 q^{-34} +48 q^{-35} +66 q^{-36} +40 q^{-37} +6 q^{-38} -46 q^{-39} -63 q^{-40} -41 q^{-41} -4 q^{-42} +44 q^{-43} +60 q^{-44} +35 q^{-45} +7 q^{-46} -38 q^{-47} -57 q^{-48} -39 q^{-49} -6 q^{-50} +35 q^{-51} +49 q^{-52} +33 q^{-53} +13 q^{-54} -25 q^{-55} -48 q^{-56} -37 q^{-57} -13 q^{-58} +21 q^{-59} +39 q^{-60} +32 q^{-61} +22 q^{-62} -8 q^{-63} -35 q^{-64} -34 q^{-65} -24 q^{-66} +4 q^{-67} +25 q^{-68} +29 q^{-69} +28 q^{-70} +10 q^{-71} -17 q^{-72} -26 q^{-73} -29 q^{-74} -14 q^{-75} +5 q^{-76} +16 q^{-77} +28 q^{-78} +22 q^{-79} +3 q^{-80} -8 q^{-81} -22 q^{-82} -24 q^{-83} -14 q^{-84} -2 q^{-85} +14 q^{-86} +22 q^{-87} +17 q^{-88} +12 q^{-89} -4 q^{-90} -17 q^{-91} -18 q^{-92} -16 q^{-93} -5 q^{-94} +7 q^{-95} +13 q^{-96} +18 q^{-97} +13 q^{-98} -5 q^{-100} -12 q^{-101} -14 q^{-102} -7 q^{-103} -2 q^{-104} +6 q^{-105} +10 q^{-106} +7 q^{-107} +8 q^{-108} +3 q^{-109} -5 q^{-110} -5 q^{-111} -6 q^{-112} -7 q^{-113} -3 q^{-114} -2 q^{-115} +4 q^{-116} +7 q^{-117} +4 q^{-118} +4 q^{-119} +4 q^{-120} -2 q^{-121} -4 q^{-122} -8 q^{-123} -6 q^{-124} - q^{-126} +3 q^{-127} +8 q^{-128} +5 q^{-129} +3 q^{-130} - q^{-131} -5 q^{-132} -2 q^{-133} -4 q^{-134} -3 q^{-135} +2 q^{-136} + q^{-137} +3 q^{-138} +2 q^{-139} -2 q^{-140} +2 q^{-141} - q^{-143} +2 q^{-144} -2 q^{-145} - q^{-146} -3 q^{-148} + q^{-151} +4 q^{-152} + q^{-155} -2 q^{-156} - q^{-157} -2 q^{-158} - q^{-159} +2 q^{-160} + q^{-161} + q^{-163} - q^{-166} - q^{-167} + q^{-168} </math> |
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>Loading KnotTheory` (version of August 29, 2005, 15:27:48)...</td></tr>
         <tr valign=top><td><pre style="color:    blue; border: 0px; padding: 0em"><nowiki>In[2]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>PD[Knot[9, 46]]</nowiki></pre></td></tr>
<tr valign=top><td><pre   style="color: blue; border: 0px; padding: 0em"><nowiki>Out[2]=&nbsp;&nbsp;</nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>PD[X[4, 2, 5, 1], X[7, 12, 8, 13], X[10, 3, 11, 4], X[2, 11, 3, 12], 
 
  X[5, 14, 6, 15], X[13, 6, 14, 7], X[15, 18, 16, 1], X[9, 17, 10, 16], 
 
  X[17, 9, 18, 8]]</nowiki></pre></td></tr>
         <tr valign=top><td><pre style="color:    blue; border: 0px; padding: 0em"><nowiki>In[3]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>GaussCode[Knot[9, 46]]</nowiki></pre></td></tr>
<tr valign=top><td><pre   style="color: blue; border: 0px; padding: 0em"><nowiki>Out[3]=&nbsp;&nbsp;</nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>GaussCode[1, -4, 3, -1, -5, 6, -2, 9, -8, -3, 4, 2, -6, 5, -7, 8, -9, 7]</nowiki></pre></td></tr>
         <tr valign=top><td><pre style="color:    blue; border: 0px; padding: 0em"><nowiki>In[4]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>DTCode[Knot[9, 46]]</nowiki></pre></td></tr>
<tr valign=top><td><pre   style="color: blue; border: 0px; padding: 0em"><nowiki>Out[4]=&nbsp;&nbsp;</nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>DTCode[4, 10, -14, -12, -16, 2, -6, -18, -8]</nowiki></pre></td></tr>
         <tr valign=top><td><pre style="color:    blue; border: 0px; padding: 0em"><nowiki>In[5]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>br = BR[Knot[9, 46]]</nowiki></pre></td></tr>
<tr valign=top><td><pre   style="color: blue; border: 0px; padding: 0em"><nowiki>Out[5]=&nbsp;&nbsp;</nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>BR[4, {-1, 2, -1, 2, -3, -2, 1, -2, -3}]</nowiki></pre></td></tr>
         <tr valign=top><td><pre style="color:    blue; border: 0px; padding: 0em"><nowiki>In[6]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>{First[br], Crossings[br]}</nowiki></pre></td></tr>
<tr valign=top><td><pre   style="color: blue; border: 0px; padding: 0em"><nowiki>Out[6]=&nbsp;&nbsp;</nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>{4, 9}</nowiki></pre></td></tr>
         <tr valign=top><td><pre style="color:    blue; border: 0px; padding: 0em"><nowiki>In[7]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>BraidIndex[Knot[9, 46]]</nowiki></pre></td></tr>
<tr valign=top><td><pre   style="color: blue; border: 0px; padding: 0em"><nowiki>Out[7]=&nbsp;&nbsp;</nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>4</nowiki></pre></td></tr>
         <tr  valign=top><td><pre style="color: blue; border: 0px; padding:  0em"><nowiki>In[8]:=</nowiki></pre></td><td><pre style="color: red;  border: 0px; padding:  0em"><nowiki>Show[DrawMorseLink[Knot[9, 46]]]</nowiki></pre></td></tr><tr><td></td><td  align=left>[[Image:9_46_ML.gif]]</td></tr><tr valign=top><td><tt><font  color=blue>Out[8]=</font></tt><td><tt><font  color=black>-Graphics-</font></tt></td></tr>
         <tr valign=top><td><pre style="color:    blue; border: 0px; padding: 0em"><nowiki>In[9]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki> (#[Knot[9, 46]]&) /@ {
                  SymmetryType, UnknottingNumber, ThreeGenus,
                  BridgeIndex, SuperBridgeIndex, NakanishiIndex
                 }</nowiki></pre></td></tr>
<tr valign=top><td><pre   style="color: blue; border: 0px; padding: 0em"><nowiki>Out[9]=&nbsp;&nbsp;</nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>{Reversible, 2, 1, 3, 4, 2}</nowiki></pre></td></tr>
         <tr valign=top><td><pre style="color:    blue; border: 0px; padding: 0em"><nowiki>In[10]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>alex = Alexander[Knot[9, 46]][t]</nowiki></pre></td></tr>
<tr valign=top><td><pre   style="color: blue; border: 0px; padding: 0em"><nowiki>Out[10]=&nbsp;&nbsp;</nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>    2
5 - - - 2 t
    t</nowiki></pre></td></tr>
         <tr valign=top><td><pre style="color:    blue; border: 0px; padding: 0em"><nowiki>In[11]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>Conway[Knot[9, 46]][z]</nowiki></pre></td></tr>
<tr valign=top><td><pre   style="color: blue; border: 0px; padding: 0em"><nowiki>Out[11]=&nbsp;&nbsp;</nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>       2
1 - 2 z</nowiki></pre></td></tr>
         <tr valign=top><td><pre style="color:    blue; border: 0px; padding: 0em"><nowiki>In[12]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>Select[AllKnots[], (alex === Alexander[#][t])&]</nowiki></pre></td></tr>
<tr valign=top><td><pre   style="color: blue; border: 0px; padding: 0em"><nowiki>Out[12]=&nbsp;&nbsp;</nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>{Knot[6, 1], Knot[9, 46], Knot[11, NonAlternating, 67], 
 
  Knot[11, NonAlternating, 97], Knot[11, NonAlternating, 139]}</nowiki></pre></td></tr>
         <tr valign=top><td><pre style="color:    blue; border: 0px; padding: 0em"><nowiki>In[13]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>{KnotDet[Knot[9, 46]], KnotSignature[Knot[9, 46]]}</nowiki></pre></td></tr>
<tr valign=top><td><pre   style="color: blue; border: 0px; padding: 0em"><nowiki>Out[13]=&nbsp;&nbsp;</nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>{9, 0}</nowiki></pre></td></tr>
         <tr valign=top><td><pre style="color:    blue; border: 0px; padding: 0em"><nowiki>In[14]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>Jones[Knot[9, 46]][q]</nowiki></pre></td></tr>
<tr valign=top><td><pre   style="color: blue; border: 0px; padding: 0em"><nowiki>Out[14]=&nbsp;&nbsp;</nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>     -6    -5    -4   2     -2   1
2 + q   - q   + q   - -- + q   - -
                       3         q
                      q</nowiki></pre></td></tr>
         <tr valign=top><td><pre style="color:    blue; border: 0px; padding: 0em"><nowiki>In[15]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>Select[AllKnots[], (J === Jones[#][q] || (J /. q-> 1/q) === Jones[#][q])&]</nowiki></pre></td></tr>
<tr valign=top><td><pre   style="color: blue; border: 0px; padding: 0em"><nowiki>Out[15]=&nbsp;&nbsp;</nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>{Knot[9, 46]}</nowiki></pre></td></tr>
         <tr valign=top><td><pre style="color:    blue; border: 0px; padding: 0em"><nowiki>In[16]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>A2Invariant[Knot[9, 46]][q]</nowiki></pre></td></tr>
<tr valign=top><td><pre   style="color: blue; border: 0px; padding: 0em"><nowiki>Out[16]=&nbsp;&nbsp;</nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>     -20    -18    -12    -10    -8    -6    -2      2
2 + q    + q    - q    - q    - q   - q   + q   + 2 q</nowiki></pre></td></tr>
         <tr valign=top><td><pre style="color:    blue; border: 0px; padding: 0em"><nowiki>In[17]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>HOMFLYPT[Knot[9, 46]][a, z]</nowiki></pre></td></tr>
<tr valign=top><td><pre   style="color: blue; border: 0px; padding: 0em"><nowiki>Out[17]=&nbsp;&nbsp;</nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>     2    4    6    2  2    4  2
2 - a  - a  + a  - a  z  - a  z</nowiki></pre></td></tr>
         <tr valign=top><td><pre style="color:    blue; border: 0px; padding: 0em"><nowiki>In[18]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>Kauffman[Knot[9, 46]][a, z]</nowiki></pre></td></tr>
<tr valign=top><td><pre   style="color: blue; border: 0px; padding: 0em"><nowiki>Out[18]=&nbsp;&nbsp;</nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>     2    4    6              3        5        2  2      4  2
2 + a  - a  - a  - 2 a z - 6 a  z - 4 a  z + 3 a  z  + 9 a  z  + 
 
     6  2      3      3  3      5  3      2  4      4  4      6  4
  6 a  z  + a z  + 8 a  z  + 7 a  z  - 4 a  z  - 9 a  z  - 5 a  z  - 
 
     3  5      5  5    2  6      4  6    6  6    3  7    5  7
  5 a  z  - 5 a  z  + a  z  + 2 a  z  + a  z  + a  z  + a  z</nowiki></pre></td></tr>
         <tr valign=top><td><pre style="color:    blue; border: 0px; padding: 0em"><nowiki>In[19]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>{Vassiliev[2][Knot[9, 46]], Vassiliev[3][Knot[9, 46]]}</nowiki></pre></td></tr>
<tr valign=top><td><pre   style="color: blue; border: 0px; padding: 0em"><nowiki>Out[19]=&nbsp;&nbsp;</nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>{-2, 3}</nowiki></pre></td></tr>
         <tr valign=top><td><pre style="color:    blue; border: 0px; padding: 0em"><nowiki>In[20]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>Kh[Knot[9, 46]][q, t]</nowiki></pre></td></tr>
<tr valign=top><td><pre   style="color: blue; border: 0px; padding: 0em"><nowiki>Out[20]=&nbsp;&nbsp;</nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>1           1        1       1       1       1       1      1
- + 2 q + ------ + ----- + ----- + ----- + ----- + ----- + ----
q          13  6    9  5    9  4    7  3    5  3    3  2    3
          q   t    q  t    q  t    q  t    q  t    q  t    q  t</nowiki></pre></td></tr>
         <tr valign=top><td><pre style="color:    blue; border: 0px; padding: 0em"><nowiki>In[21]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>ColouredJones[Knot[9, 46], 2][q]</nowiki></pre></td></tr>
<tr valign=top><td><pre   style="color: blue; border: 0px; padding: 0em"><nowiki>Out[21]=&nbsp;&nbsp;</nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki> -18    -17    -16    2     -14    2     2     -10   2    2    1    2
q    - q    - q    + --- - q    - --- + --- - q    + -- - -- + - + q
                      15           13    12           9    3   q
                     q            q     q            q    q</nowiki></pre></td></tr>
         </table>  }}