View source for 10 148

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{{Rolfsen Knot Page|
n = 10 |
k = 148 |
KnotilusURL = http://srankin.math.uwo.ca/cgi-bin/retrieve.cgi/1,-10,2,-1,-3,9,10,-2,-5,6,-9,3,-4,8,-7,5,-6,4,-8,7/goTop.html |
braid_table     = <table cellspacing=0 cellpadding=0 border=0>
<tr><td>[[Image:BraidPart3.gif]][[Image:BraidPart3.gif]][[Image:BraidPart3.gif]][[Image:BraidPart3.gif]][[Image:BraidPart0.gif]][[Image:BraidPart1.gif]][[Image:BraidPart1.gif]][[Image:BraidPart0.gif]][[Image:BraidPart1.gif]][[Image:BraidPart0.gif]]</td></tr>
<tr><td>[[Image:BraidPart4.gif]][[Image:BraidPart4.gif]][[Image:BraidPart4.gif]][[Image:BraidPart4.gif]][[Image:BraidPart3.gif]][[Image:BraidPart2.gif]][[Image:BraidPart2.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:BraidPart4.gif]][[Image:BraidPart0.gif]][[Image:BraidPart0.gif]][[Image:BraidPart4.gif]][[Image:BraidPart0.gif]][[Image:BraidPart4.gif]]</td></tr>
</table> |
braid_crossings = 10 |
braid_width     = 3 |
braid_index     = 3 |
same_alexander  =  |
same_jones      =  |
khovanov_table  = <table border=1>
<tr align=center>
<td width=15.3846%><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=7.69231%>-7</td    ><td width=7.69231%>-6</td    ><td width=7.69231%>-5</td    ><td width=7.69231%>-4</td    ><td width=7.69231%>-3</td    ><td width=7.69231%>-2</td    ><td width=7.69231%>-1</td    ><td width=7.69231%>0</td    ><td width=7.69231%>1</td    ><td width=15.3846%>&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>&nbsp;</td><td>&nbsp;</td><td bgcolor=yellow>1</td><td>-1</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>&nbsp;</td><td bgcolor=yellow>2</td><td bgcolor=yellow>&nbsp;</td><td>2</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 bgcolor=yellow>3</td><td bgcolor=yellow>2</td><td>&nbsp;</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 bgcolor=yellow>3</td><td bgcolor=yellow>1</td><td>&nbsp;</td><td>&nbsp;</td><td>2</td></tr>
<tr align=center><td>-7</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td bgcolor=yellow>2</td><td bgcolor=yellow>3</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>1</td></tr>
<tr align=center><td>-9</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td bgcolor=yellow>3</td><td bgcolor=yellow>3</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>0</td></tr>
<tr align=center><td>-11</td><td>&nbsp;</td><td>&nbsp;</td><td bgcolor=yellow>1</td><td bgcolor=yellow>2</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>&nbsp;</td><td>1</td></tr>
<tr align=center><td>-13</td><td>&nbsp;</td><td bgcolor=yellow>1</td><td bgcolor=yellow>3</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>-15</td><td bgcolor=yellow>&nbsp;</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>1</td></tr>
<tr align=center><td>-17</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>-1</td></tr>
</table> |
coloured_jones_2 = <math>-2+3 q^{-1} +4 q^{-2} -12 q^{-3} +6 q^{-4} +15 q^{-5} -24 q^{-6} +5 q^{-7} +26 q^{-8} -30 q^{-9} + q^{-10} +29 q^{-11} -26 q^{-12} -5 q^{-13} +26 q^{-14} -16 q^{-15} -9 q^{-16} +17 q^{-17} -5 q^{-18} -7 q^{-19} +6 q^{-20} -2 q^{-22} + q^{-23} </math> |
coloured_jones_3 = <math>q^4-q^3-q^2-3 q+3+8 q^{-1} -14 q^{-3} -12 q^{-4} +25 q^{-5} +25 q^{-6} -26 q^{-7} -48 q^{-8} +28 q^{-9} +67 q^{-10} -18 q^{-11} -90 q^{-12} +16 q^{-13} +97 q^{-14} + q^{-15} -111 q^{-16} -4 q^{-17} +105 q^{-18} +19 q^{-19} -107 q^{-20} -23 q^{-21} +93 q^{-22} +36 q^{-23} -82 q^{-24} -44 q^{-25} +64 q^{-26} +51 q^{-27} -45 q^{-28} -53 q^{-29} +26 q^{-30} +47 q^{-31} -6 q^{-32} -41 q^{-33} -2 q^{-34} +25 q^{-35} +10 q^{-36} -15 q^{-37} -8 q^{-38} +6 q^{-39} +6 q^{-40} -3 q^{-41} -2 q^{-42} +2 q^{-44} - q^{-45} </math> |
coloured_jones_4 = <math>-q^8+q^7+3 q^6-2 q^4-9 q^3-6 q^2+14 q+16+14 q^{-1} -23 q^{-2} -53 q^{-3} - q^{-4} +36 q^{-5} +90 q^{-6} +19 q^{-7} -125 q^{-8} -92 q^{-9} -12 q^{-10} +197 q^{-11} +159 q^{-12} -137 q^{-13} -214 q^{-14} -161 q^{-15} +249 q^{-16} +333 q^{-17} -67 q^{-18} -283 q^{-19} -329 q^{-20} +227 q^{-21} +445 q^{-22} +22 q^{-23} -277 q^{-24} -437 q^{-25} +172 q^{-26} +476 q^{-27} +85 q^{-28} -232 q^{-29} -473 q^{-30} +111 q^{-31} +445 q^{-32} +130 q^{-33} -156 q^{-34} -463 q^{-35} +31 q^{-36} +363 q^{-37} +173 q^{-38} -43 q^{-39} -406 q^{-40} -68 q^{-41} +224 q^{-42} +189 q^{-43} +89 q^{-44} -285 q^{-45} -135 q^{-46} +61 q^{-47} +134 q^{-48} +167 q^{-49} -123 q^{-50} -113 q^{-51} -50 q^{-52} +34 q^{-53} +141 q^{-54} -11 q^{-55} -36 q^{-56} -57 q^{-57} -27 q^{-58} +62 q^{-59} +12 q^{-60} +9 q^{-61} -20 q^{-62} -24 q^{-63} +16 q^{-64} + q^{-65} +8 q^{-66} -2 q^{-67} -8 q^{-68} +4 q^{-69} - q^{-70} +2 q^{-71} -2 q^{-73} + q^{-74} </math> |
coloured_jones_5 = <math>-2 q^{11}+5 q^9+5 q^8-4 q^6-21 q^5-18 q^4+11 q^3+39 q^2+47 q+20-51 q^{-1} -114 q^{-2} -84 q^{-3} +32 q^{-4} +174 q^{-5} +205 q^{-6} +65 q^{-7} -199 q^{-8} -381 q^{-9} -245 q^{-10} +162 q^{-11} +526 q^{-12} +518 q^{-13} +15 q^{-14} -649 q^{-15} -840 q^{-16} -265 q^{-17} +645 q^{-18} +1145 q^{-19} +637 q^{-20} -568 q^{-21} -1394 q^{-22} -1000 q^{-23} +373 q^{-24} +1555 q^{-25} +1363 q^{-26} -164 q^{-27} -1622 q^{-28} -1615 q^{-29} -100 q^{-30} +1622 q^{-31} +1836 q^{-32} +267 q^{-33} -1562 q^{-34} -1915 q^{-35} -467 q^{-36} +1485 q^{-37} +2002 q^{-38} +548 q^{-39} -1396 q^{-40} -1971 q^{-41} -673 q^{-42} +1293 q^{-43} +1982 q^{-44} +721 q^{-45} -1179 q^{-46} -1904 q^{-47} -825 q^{-48} +1023 q^{-49} +1852 q^{-50} +899 q^{-51} -833 q^{-52} -1718 q^{-53} -1008 q^{-54} +586 q^{-55} +1564 q^{-56} +1081 q^{-57} -302 q^{-58} -1325 q^{-59} -1127 q^{-60} + q^{-61} +1031 q^{-62} +1103 q^{-63} +264 q^{-64} -685 q^{-65} -979 q^{-66} -476 q^{-67} +338 q^{-68} +784 q^{-69} +566 q^{-70} -44 q^{-71} -509 q^{-72} -551 q^{-73} -182 q^{-74} +266 q^{-75} +436 q^{-76} +263 q^{-77} -42 q^{-78} -270 q^{-79} -277 q^{-80} -73 q^{-81} +126 q^{-82} +191 q^{-83} +124 q^{-84} -18 q^{-85} -112 q^{-86} -103 q^{-87} -31 q^{-88} +40 q^{-89} +70 q^{-90} +36 q^{-91} -9 q^{-92} -26 q^{-93} -29 q^{-94} -8 q^{-95} +15 q^{-96} +14 q^{-97} + q^{-99} -4 q^{-100} -7 q^{-101} +3 q^{-102} +4 q^{-103} -2 q^{-104} + q^{-106} -2 q^{-107} +2 q^{-109} - q^{-110} </math> |
coloured_jones_6 = <math>q^{20}-q^{19}-q^{18}-2 q^{15}-3 q^{14}+9 q^{13}+8 q^{12}+6 q^{11}+3 q^{10}-8 q^9-32 q^8-49 q^7-11 q^6+37 q^5+76 q^4+107 q^3+81 q^2-54 q-212-251 q^{-1} -148 q^{-2} +46 q^{-3} +356 q^{-4} +563 q^{-5} +391 q^{-6} -128 q^{-7} -660 q^{-8} -909 q^{-9} -781 q^{-10} +87 q^{-11} +1168 q^{-12} +1681 q^{-13} +1119 q^{-14} -241 q^{-15} -1699 q^{-16} -2671 q^{-17} -1725 q^{-18} +607 q^{-19} +2936 q^{-20} +3550 q^{-21} +2003 q^{-22} -1060 q^{-23} -4410 q^{-24} -4761 q^{-25} -1916 q^{-26} +2652 q^{-27} +5678 q^{-28} +5367 q^{-29} +1472 q^{-30} -4559 q^{-31} -7328 q^{-32} -5327 q^{-33} +674 q^{-34} +6208 q^{-35} +8079 q^{-36} +4586 q^{-37} -3208 q^{-38} -8316 q^{-39} -7915 q^{-40} -1660 q^{-41} +5398 q^{-42} +9250 q^{-43} +6793 q^{-44} -1573 q^{-45} -8066 q^{-46} -9068 q^{-47} -3214 q^{-48} +4294 q^{-49} +9296 q^{-50} +7768 q^{-51} -457 q^{-52} -7437 q^{-53} -9266 q^{-54} -3926 q^{-55} +3449 q^{-56} +8936 q^{-57} +8032 q^{-58} +232 q^{-59} -6790 q^{-60} -9112 q^{-61} -4331 q^{-62} +2667 q^{-63} +8400 q^{-64} +8112 q^{-65} +1020 q^{-66} -5874 q^{-67} -8752 q^{-68} -4884 q^{-69} +1435 q^{-70} +7406 q^{-71} +8086 q^{-72} +2280 q^{-73} -4206 q^{-74} -7852 q^{-75} -5545 q^{-76} -520 q^{-77} +5480 q^{-78} +7506 q^{-79} +3776 q^{-80} -1639 q^{-81} -5888 q^{-82} -5631 q^{-83} -2706 q^{-84} +2560 q^{-85} +5710 q^{-86} +4541 q^{-87} +1092 q^{-88} -2865 q^{-89} -4317 q^{-90} -3881 q^{-91} -403 q^{-92} +2775 q^{-93} +3644 q^{-94} +2560 q^{-95} +60 q^{-96} -1815 q^{-97} -3153 q^{-98} -1883 q^{-99} +69 q^{-100} +1521 q^{-101} +2042 q^{-102} +1371 q^{-103} +334 q^{-104} -1286 q^{-105} -1432 q^{-106} -981 q^{-107} -163 q^{-108} +596 q^{-109} +947 q^{-110} +930 q^{-111} +32 q^{-112} -330 q^{-113} -591 q^{-114} -503 q^{-115} -233 q^{-116} +150 q^{-117} +479 q^{-118} +238 q^{-119} +164 q^{-120} -59 q^{-121} -172 q^{-122} -239 q^{-123} -113 q^{-124} +89 q^{-125} +45 q^{-126} +113 q^{-127} +59 q^{-128} +19 q^{-129} -70 q^{-130} -60 q^{-131} +9 q^{-132} -23 q^{-133} +19 q^{-134} +19 q^{-135} +25 q^{-136} -13 q^{-137} -13 q^{-138} +10 q^{-139} -11 q^{-140} +9 q^{-143} -4 q^{-144} -5 q^{-145} +6 q^{-146} -2 q^{-147} - q^{-149} +2 q^{-150} -2 q^{-152} + q^{-153} </math> |
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, 148]]</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[8, 4, 9, 3], X[5, 12, 6, 13], X[13, 18, 14, 19], 
 
  X[9, 16, 10, 17], X[17, 10, 18, 11], X[15, 20, 16, 1], 
 
  X[19, 14, 20, 15], X[11, 6, 12, 7], X[2, 8, 3, 7]]</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, 148]]</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, -10, 2, -1, -3, 9, 10, -2, -5, 6, -9, 3, -4, 8, -7, 5, -6, 
 
  4, -8, 7]</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, 148]]</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, -12, 2, -16, -6, -18, -20, -10, -14]</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, 148]]</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[3, {-1, -1, -1, -1, -2, 1, 1, -2, 1, -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>{3, 10}</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, 148]]</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>3</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, 148]]]</nowiki></code></td></tr>
<tr align=left><td></td><td>[[Image:10_148_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, 148]]&) /@ {
                    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>{Chiral, 2, 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, 148]][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   3    7            2    3
-9 + t   - -- + - + 7 t - 3 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, 148]][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 + 4 z  + 3 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, 148]}</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, 148]], KnotSignature[Knot[10, 148]]}</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>{31, -2}</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, 148]][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>      -8   2    4    5    5    6    4    3
-1 - q   + -- - -- + -- - -- + -- - -- + -
            7    6    5    4    3    2   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[10, 148]}</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, 148]][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>      -24    2     -18    -16    3     -10   2     -6    -4    -2
-1 - q    - --- - q    + q    + --- + q    + -- + q   - q   + q
             20                  12           8
            q                   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, 148]][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      4      6      2  2      4  2      6  2    2  4      4  4
-a  + 5 a  - 3 a  - 2 a  z  + 9 a  z  - 3 a  z  - a  z  + 5 a  z  - 
 
   6  4    4  6
  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[10, 148]][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      4      6            3        5      7        9        2  2
a  + 5 a  + 3 a  - a z - 3 a  z - 5 a  z - a  z + 2 a  z - 3 a  z  - 
 
      4  2      6  2      8  2      3      3  3      5  3    7  3
  11 a  z  - 6 a  z  + 2 a  z  + a z  + 6 a  z  + 9 a  z  + a  z  - 
 
     9  3      2  4       4  4      6  4      8  4      3  5
  3 a  z  + 3 a  z  + 10 a  z  + 2 a  z  - 5 a  z  - 2 a  z  - 
 
     5  5      7  5    9  5      4  6    6  6      8  6    3  7
  7 a  z  - 4 a  z  + a  z  - 3 a  z  - a  z  + 2 a  z  + a  z  + 
 
     5  7      7  7    4  8    6  8
  3 a  z  + 2 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, 148]], Vassiliev[3][Knot[10, 148]]}</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>{4, -7}</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, 148]][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>2    2     1        1        1        3        1        2        3
-- + - + ------ + ------ + ------ + ------ + ------ + ------ + ----- + 
 3   q    17  7    15  6    13  6    13  5    11  5    11  4    9  4
q        q   t    q   t    q   t    q   t    q   t    q   t    q  t
 
    3       2       3       3      1      3
  ----- + ----- + ----- + ----- + ---- + ---- + q t
   9  3    7  3    7  2    5  2    5      3
  q  t    q  t    q  t    q  t    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, 148], 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>      -23    2     6     7     5    17     9    16    26     5    26
-2 + q    - --- + --- - --- - --- + --- - --- - --- + --- - --- - --- + 
             22    20    19    18    17    16    15    14    13    12
            q     q     q     q     q     q     q     q     q     q
 
  29     -10   30   26   5    24   15   6    12   4    3
  --- + q    - -- + -- + -- - -- + -- + -- - -- + -- + -
   11           9    8    7    6    5    4    3    2   q
  q            q    q    q    q    q    q    q    q</nowiki></code></td></tr>
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