ScottTestRobot at 22:00, 1 September 2005

2005-09-01T22:00:56Z

DrorsRobot at 22:45, 31 August 2005

2005-08-31T22:45:50Z

← Older revision		Revision as of 18:45, 31 August 2005
Line 1:		Line 1:
			<!-- WARNING! WARNING! WARNING!
	<!-- This page was generated from the splice template ~~"Rolfsen_Splice_Template"~~. Please do not edit! ~~-->~~		<!-- This page was generated from the splice template [[Rolfsen_Splice_Base]]. Please do not edit!
	<!-- --> <!--
			<!-- You probably want to edit the template referred to immediately below. (See [[Category:Knot Page Template]].)
	-->
			<!-- This page itself was created by running [[Media:KnotPageSpliceRobot.nb]] on [[Rolfsen_Splice_Base]]. -->
			<!-- <math>\text{Null}</math> -->
			<!-- <math>\text{Null}</math> -->
	{{Rolfsen Knot Page\|		{{Rolfsen Knot Page\|
	n = 10 \|		n = 10 \|
Line 43:		Line 46:
	coloured_jones_5 = <math>-q^{80}+3 q^{79}-2 q^{78}-q^{77}+2 q^{76}-5 q^{75}+3 q^{74}+9 q^{73}-6 q^{72}-9 q^{71}+5 q^{70}-3 q^{69}+12 q^{68}+15 q^{67}-28 q^{66}-37 q^{65}+13 q^{64}+65 q^{63}+65 q^{62}-26 q^{61}-158 q^{60}-168 q^{59}+71 q^{58}+378 q^{57}+350 q^{56}-152 q^{55}-729 q^{54}-724 q^{53}+169 q^{52}+1349 q^{51}+1442 q^{50}-140 q^{49}-2183 q^{48}-2577 q^{47}-246 q^{46}+3200 q^{45}+4288 q^{44}+1094 q^{43}-4137 q^{42}-6440 q^{41}-2673 q^{40}+4693 q^{39}+8806 q^{38}+4912 q^{37}-4481 q^{36}-10951 q^{35}-7654 q^{34}+3439 q^{33}+12407 q^{32}+10374 q^{31}-1604 q^{30}-12858 q^{29}-12675 q^{28}-612 q^{27}+12362 q^{26}+14075 q^{25}+2765 q^{24}-11063 q^{23}-14553 q^{22}-4520 q^{21}+9456 q^{20}+14225 q^{19}+5636 q^{18}-7799 q^{17}-13395 q^{16}-6263 q^{15}+6350 q^{14}+12398 q^{13}+6554 q^{12}-5111 q^{11}-11423 q^{10}-6748 q^9+3968 q^8+10498 q^7+7043 q^6-2763 q^5-9620 q^4-7381 q^3+1392 q^2+8515 q+7784+201 q^{-1} -7191 q^{-2} -7951 q^{-3} -1886 q^{-4} +5414 q^{-5} +7779 q^{-6} +3519 q^{-7} -3373 q^{-8} -7002 q^{-9} -4775 q^{-10} +1077 q^{-11} +5663 q^{-12} +5432 q^{-13} +1027 q^{-14} -3732 q^{-15} -5278 q^{-16} -2755 q^{-17} +1614 q^{-18} +4338 q^{-19} +3624 q^{-20} +437 q^{-21} -2757 q^{-22} -3680 q^{-23} -1900 q^{-24} +1000 q^{-25} +2843 q^{-26} +2568 q^{-27} +587 q^{-28} -1580 q^{-29} -2404 q^{-30} -1523 q^{-31} +240 q^{-32} +1622 q^{-33} +1758 q^{-34} +727 q^{-35} -636 q^{-36} -1384 q^{-37} -1133 q^{-38} -177 q^{-39} +727 q^{-40} +1013 q^{-41} +611 q^{-42} -112 q^{-43} -634 q^{-44} -641 q^{-45} -233 q^{-46} +212 q^{-47} +433 q^{-48} +337 q^{-49} +42 q^{-50} -203 q^{-51} -241 q^{-52} -122 q^{-53} +24 q^{-54} +122 q^{-55} +112 q^{-56} +26 q^{-57} -40 q^{-58} -48 q^{-59} -31 q^{-60} -6 q^{-61} +24 q^{-62} +17 q^{-63} + q^{-64} -3 q^{-65} -3 q^{-66} -5 q^{-67} + q^{-68} +3 q^{-69} - q^{-70} </math> \|		coloured_jones_5 = <math>-q^{80}+3 q^{79}-2 q^{78}-q^{77}+2 q^{76}-5 q^{75}+3 q^{74}+9 q^{73}-6 q^{72}-9 q^{71}+5 q^{70}-3 q^{69}+12 q^{68}+15 q^{67}-28 q^{66}-37 q^{65}+13 q^{64}+65 q^{63}+65 q^{62}-26 q^{61}-158 q^{60}-168 q^{59}+71 q^{58}+378 q^{57}+350 q^{56}-152 q^{55}-729 q^{54}-724 q^{53}+169 q^{52}+1349 q^{51}+1442 q^{50}-140 q^{49}-2183 q^{48}-2577 q^{47}-246 q^{46}+3200 q^{45}+4288 q^{44}+1094 q^{43}-4137 q^{42}-6440 q^{41}-2673 q^{40}+4693 q^{39}+8806 q^{38}+4912 q^{37}-4481 q^{36}-10951 q^{35}-7654 q^{34}+3439 q^{33}+12407 q^{32}+10374 q^{31}-1604 q^{30}-12858 q^{29}-12675 q^{28}-612 q^{27}+12362 q^{26}+14075 q^{25}+2765 q^{24}-11063 q^{23}-14553 q^{22}-4520 q^{21}+9456 q^{20}+14225 q^{19}+5636 q^{18}-7799 q^{17}-13395 q^{16}-6263 q^{15}+6350 q^{14}+12398 q^{13}+6554 q^{12}-5111 q^{11}-11423 q^{10}-6748 q^9+3968 q^8+10498 q^7+7043 q^6-2763 q^5-9620 q^4-7381 q^3+1392 q^2+8515 q+7784+201 q^{-1} -7191 q^{-2} -7951 q^{-3} -1886 q^{-4} +5414 q^{-5} +7779 q^{-6} +3519 q^{-7} -3373 q^{-8} -7002 q^{-9} -4775 q^{-10} +1077 q^{-11} +5663 q^{-12} +5432 q^{-13} +1027 q^{-14} -3732 q^{-15} -5278 q^{-16} -2755 q^{-17} +1614 q^{-18} +4338 q^{-19} +3624 q^{-20} +437 q^{-21} -2757 q^{-22} -3680 q^{-23} -1900 q^{-24} +1000 q^{-25} +2843 q^{-26} +2568 q^{-27} +587 q^{-28} -1580 q^{-29} -2404 q^{-30} -1523 q^{-31} +240 q^{-32} +1622 q^{-33} +1758 q^{-34} +727 q^{-35} -636 q^{-36} -1384 q^{-37} -1133 q^{-38} -177 q^{-39} +727 q^{-40} +1013 q^{-41} +611 q^{-42} -112 q^{-43} -634 q^{-44} -641 q^{-45} -233 q^{-46} +212 q^{-47} +433 q^{-48} +337 q^{-49} +42 q^{-50} -203 q^{-51} -241 q^{-52} -122 q^{-53} +24 q^{-54} +122 q^{-55} +112 q^{-56} +26 q^{-57} -40 q^{-58} -48 q^{-59} -31 q^{-60} -6 q^{-61} +24 q^{-62} +17 q^{-63} + q^{-64} -3 q^{-65} -3 q^{-66} -5 q^{-67} + q^{-68} +3 q^{-69} - q^{-70} </math> \|
	coloured_jones_6 = <math>q^{111}-3 q^{110}+2 q^{109}+q^{108}-2 q^{107}+5 q^{106}-6 q^{105}+3 q^{104}-9 q^{103}+12 q^{102}+5 q^{101}-22 q^{100}+19 q^{99}-9 q^{98}+10 q^{97}-12 q^{96}+33 q^{95}-14 q^{94}-95 q^{93}+41 q^{92}+39 q^{91}+87 q^{90}+27 q^{89}+30 q^{88}-203 q^{87}-366 q^{86}+86 q^{85}+356 q^{84}+542 q^{83}+269 q^{82}-209 q^{81}-1128 q^{80}-1401 q^{79}+122 q^{78}+1687 q^{77}+2547 q^{76}+1501 q^{75}-1118 q^{74}-4487 q^{73}-5207 q^{72}-720 q^{71}+5346 q^{70}+9172 q^{69}+6757 q^{68}-1874 q^{67}-12759 q^{66}-16513 q^{65}-6740 q^{64}+10371 q^{63}+23970 q^{62}+22592 q^{61}+3544 q^{60}-24102 q^{59}-39357 q^{58}-26368 q^{57}+8130 q^{56}+42949 q^{55}+52636 q^{54}+25440 q^{53}-26293 q^{52}-66239 q^{51}-61777 q^{50}-13345 q^{49}+49816 q^{48}+84951 q^{47}+63530 q^{46}-6489 q^{45}-77209 q^{44}-96492 q^{43}-50565 q^{42}+32363 q^{41}+97465 q^{40}+97537 q^{39}+27996 q^{38}-62409 q^{37}-108472 q^{36}-80956 q^{35}+1832 q^{34}+84205 q^{33}+107686 q^{32}+54096 q^{31}-36325 q^{30}-96530 q^{29}-88864 q^{28}-20008 q^{27}+61840 q^{26}+97531 q^{25}+61125 q^{24}-17903 q^{23}-78153 q^{22}-81755 q^{21}-27420 q^{20}+45793 q^{19}+84006 q^{18}+58906 q^{17}-8820 q^{16}-64998 q^{15}-74653 q^{14}-30977 q^{13}+34853 q^{12}+75008 q^{11}+59566 q^{10}+948 q^9-53786 q^8-71787 q^7-39619 q^6+20066 q^5+65590 q^4+64028 q^3+17438 q^2-36353 q-66601-51600 q^{-1} -2564 q^{-2} +47771 q^{-3} +64244 q^{-4} +36874 q^{-5} -9827 q^{-6} -50697 q^{-7} -57425 q^{-8} -27811 q^{-9} +19166 q^{-10} +51100 q^{-11} +48281 q^{-12} +19289 q^{-13} -21990 q^{-14} -47116 q^{-15} -43104 q^{-16} -12262 q^{-17} +23013 q^{-18} +40860 q^{-19} +36660 q^{-20} +9674 q^{-21} -20087 q^{-22} -37102 q^{-23} -30257 q^{-24} -7793 q^{-25} +15632 q^{-26} +30926 q^{-27} +26259 q^{-28} +8683 q^{-29} -13154 q^{-30} -24182 q^{-31} -21983 q^{-32} -9668 q^{-33} +8435 q^{-34} +18881 q^{-35} +19433 q^{-36} +8574 q^{-37} -3753 q^{-38} -13447 q^{-39} -16202 q^{-40} -9093 q^{-41} +653 q^{-42} +9795 q^{-43} +11599 q^{-44} +9093 q^{-45} +1870 q^{-46} -5920 q^{-47} -8909 q^{-48} -7892 q^{-49} -2526 q^{-50} +2047 q^{-51} +6356 q^{-52} +6486 q^{-53} +3254 q^{-54} -539 q^{-55} -3828 q^{-56} -4309 q^{-57} -3701 q^{-58} -444 q^{-59} +2026 q^{-60} +3043 q^{-61} +2648 q^{-62} +1015 q^{-63} -477 q^{-64} -2135 q^{-65} -1818 q^{-66} -1032 q^{-67} +74 q^{-68} +900 q^{-69} +1172 q^{-70} +997 q^{-71} +22 q^{-72} -356 q^{-73} -642 q^{-74} -520 q^{-75} -256 q^{-76} +110 q^{-77} +389 q^{-78} +225 q^{-79} +166 q^{-80} -15 q^{-81} -102 q^{-82} -160 q^{-83} -86 q^{-84} +24 q^{-85} +17 q^{-86} +54 q^{-87} +32 q^{-88} +18 q^{-89} -22 q^{-90} -20 q^{-91} + q^{-92} -7 q^{-93} +3 q^{-94} +3 q^{-95} +5 q^{-96} - q^{-97} -3 q^{-98} + q^{-99} </math> \|		coloured_jones_6 = <math>q^{111}-3 q^{110}+2 q^{109}+q^{108}-2 q^{107}+5 q^{106}-6 q^{105}+3 q^{104}-9 q^{103}+12 q^{102}+5 q^{101}-22 q^{100}+19 q^{99}-9 q^{98}+10 q^{97}-12 q^{96}+33 q^{95}-14 q^{94}-95 q^{93}+41 q^{92}+39 q^{91}+87 q^{90}+27 q^{89}+30 q^{88}-203 q^{87}-366 q^{86}+86 q^{85}+356 q^{84}+542 q^{83}+269 q^{82}-209 q^{81}-1128 q^{80}-1401 q^{79}+122 q^{78}+1687 q^{77}+2547 q^{76}+1501 q^{75}-1118 q^{74}-4487 q^{73}-5207 q^{72}-720 q^{71}+5346 q^{70}+9172 q^{69}+6757 q^{68}-1874 q^{67}-12759 q^{66}-16513 q^{65}-6740 q^{64}+10371 q^{63}+23970 q^{62}+22592 q^{61}+3544 q^{60}-24102 q^{59}-39357 q^{58}-26368 q^{57}+8130 q^{56}+42949 q^{55}+52636 q^{54}+25440 q^{53}-26293 q^{52}-66239 q^{51}-61777 q^{50}-13345 q^{49}+49816 q^{48}+84951 q^{47}+63530 q^{46}-6489 q^{45}-77209 q^{44}-96492 q^{43}-50565 q^{42}+32363 q^{41}+97465 q^{40}+97537 q^{39}+27996 q^{38}-62409 q^{37}-108472 q^{36}-80956 q^{35}+1832 q^{34}+84205 q^{33}+107686 q^{32}+54096 q^{31}-36325 q^{30}-96530 q^{29}-88864 q^{28}-20008 q^{27}+61840 q^{26}+97531 q^{25}+61125 q^{24}-17903 q^{23}-78153 q^{22}-81755 q^{21}-27420 q^{20}+45793 q^{19}+84006 q^{18}+58906 q^{17}-8820 q^{16}-64998 q^{15}-74653 q^{14}-30977 q^{13}+34853 q^{12}+75008 q^{11}+59566 q^{10}+948 q^9-53786 q^8-71787 q^7-39619 q^6+20066 q^5+65590 q^4+64028 q^3+17438 q^2-36353 q-66601-51600 q^{-1} -2564 q^{-2} +47771 q^{-3} +64244 q^{-4} +36874 q^{-5} -9827 q^{-6} -50697 q^{-7} -57425 q^{-8} -27811 q^{-9} +19166 q^{-10} +51100 q^{-11} +48281 q^{-12} +19289 q^{-13} -21990 q^{-14} -47116 q^{-15} -43104 q^{-16} -12262 q^{-17} +23013 q^{-18} +40860 q^{-19} +36660 q^{-20} +9674 q^{-21} -20087 q^{-22} -37102 q^{-23} -30257 q^{-24} -7793 q^{-25} +15632 q^{-26} +30926 q^{-27} +26259 q^{-28} +8683 q^{-29} -13154 q^{-30} -24182 q^{-31} -21983 q^{-32} -9668 q^{-33} +8435 q^{-34} +18881 q^{-35} +19433 q^{-36} +8574 q^{-37} -3753 q^{-38} -13447 q^{-39} -16202 q^{-40} -9093 q^{-41} +653 q^{-42} +9795 q^{-43} +11599 q^{-44} +9093 q^{-45} +1870 q^{-46} -5920 q^{-47} -8909 q^{-48} -7892 q^{-49} -2526 q^{-50} +2047 q^{-51} +6356 q^{-52} +6486 q^{-53} +3254 q^{-54} -539 q^{-55} -3828 q^{-56} -4309 q^{-57} -3701 q^{-58} -444 q^{-59} +2026 q^{-60} +3043 q^{-61} +2648 q^{-62} +1015 q^{-63} -477 q^{-64} -2135 q^{-65} -1818 q^{-66} -1032 q^{-67} +74 q^{-68} +900 q^{-69} +1172 q^{-70} +997 q^{-71} +22 q^{-72} -356 q^{-73} -642 q^{-74} -520 q^{-75} -256 q^{-76} +110 q^{-77} +389 q^{-78} +225 q^{-79} +166 q^{-80} -15 q^{-81} -102 q^{-82} -160 q^{-83} -86 q^{-84} +24 q^{-85} +17 q^{-86} +54 q^{-87} +32 q^{-88} +18 q^{-89} -22 q^{-90} -20 q^{-91} + q^{-92} -7 q^{-93} +3 q^{-94} +3 q^{-95} +5 q^{-96} - q^{-97} -3 q^{-98} + q^{-99} </math> \|
	coloured_jones_7 = \|		coloured_jones_7 = <math>\textrm{NotAvailable}(q)</math> \|
	computer_talk =		computer_talk =
	<table>		<table>
Line 50:		Line 53:
	<td align=left><pre style="color: red; border: 0px; padding: 0em"><< KnotTheory`</pre></td>		<td align=left><pre style="color: red; border: 0px; padding: 0em"><< KnotTheory`</pre></td>
	</tr>		</tr>
	<tr valign=top><td colspan=2>Loading KnotTheory` (version of August 29, 2005, 15:33:11)...</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[10, 108]]</nowiki></pre></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[10, 108]]</nowiki></pre></td></tr>
	<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>Out[2]=  </nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>PD[X[6, 2, 7, 1], X[16, 4, 17, 3], X[20, 13, 1, 14], X[14, 7, 15, 8],		<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>Out[2]=  </nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>PD[X[6, 2, 7, 1], X[16, 4, 17, 3], X[20, 13, 1, 14], X[14, 7, 15, 8],
Line 70:		Line 73:
	<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>Out[7]=  </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>Out[7]=  </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[10, 108]]]</nowiki></pre></td></tr><tr><td></td><td align=left>[[Image:10_108_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[8]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>Show[DrawMorseLink[Knot[10, 108]]]</nowiki></pre></td></tr><tr><td></td><td align=left>[[Image:10_108_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[10, 108]]&) /@ {~~SymmetryType, UnknottingNumber, ThreeGenus, BridgeIndex, SuperBridgeIndex, NakanishiIndex}</nowiki></pre></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[10, 108]]&) /@ {
			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]=  </nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>{Reversible, 2, 3, 3, NotAvailable, 1}</nowiki></pre></td></tr>		<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>Out[9]=  </nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>{Reversible, 2, 3, 3, NotAvailable, 1}</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[10, 108]][t]</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[10, 108]][t]</nowiki></pre></td></tr>

ScottKnotPageRobot at 14:36, 30 August 2005

2005-08-30T14:36:43Z

Show changes

DrorsRobot at 01:04, 30 August 2005

2005-08-30T01:04:02Z

← Older revision		Revision as of 21:04, 29 August 2005
Line 1:		Line 1:
			<!-- This page was generated from the splice template "Rolfsen_Splice_Template". Please do not edit! -->
	<!-- -->		<!-- -->
	<!-- -->		<!-- -->
Line 214:		Line 215:
	</table>		</table>

			{\| width=100%
	See/edit the [[Rolfsen_Splice_Template]].		\|align=left\|See/edit the [[Rolfsen_Splice_Template]].

			Back to the [[#top\|top]].
			\|align=right\|{{Knot Navigation Links\|ext=gif}}
			\|}

	[[Category:Knot Page]]		[[Category:Knot Page]]

DrorsRobot at 22:22, 29 August 2005

2005-08-29T22:22:29Z

Show changes

ScottTestRobot at 00:09, 29 August 2005

2005-08-29T00:09:54Z

← Older revision		Revision as of 20:09, 28 August 2005
Line 1:		Line 1:
	<!-- -->		<!-- -->
			<!-- -->

			<!-- -->
			<!-- -->
	<!-- provide an anchor so we can return to the top of the page -->		<!-- provide an anchor so we can return to the top of the page -->
	<span id="top"></span>		<span id="top"></span>
			<!-- -->

	<!-- this relies on transclusion for next and previous links -->		<!-- this relies on transclusion for next and previous links -->
	{{Knot Navigation Links\|ext=gif}}		{{Knot Navigation Links\|ext=gif}}

		⚫	{{Rolfsen Knot Page Header\|n=10\|k=108\|KnotilusURL=http://srankin.math.uwo.ca/cgi-bin/retrieve.cgi/1,-10,2,-9,8,-1,4,-5,6,-7,9,-8,3,-4,10,-2,7,-6,5,-3/goTop.html}}
	{\| align=left
	\|- valign=top
	\|[[Image:{{PAGENAME}}.gif]]
⚫	\|{{Rolfsen Knot ~~Site~~ ~~Links~~\|n=10\|k=108\|KnotilusURL=http://srankin.math.uwo.ca/cgi-bin/retrieve.cgi/1,-10,2,-9,8,-1,4,-5,6,-7,9,-8,3,-4,10,-2,7,-6,5,-3/goTop.html}}
	\|{{:{{PAGENAME}} Quick Notes}}
	\|}

	<br style="clear:both" />		<br style="clear:both" />
Line 24:		Line 21:
	{{Vassiliev Invariants}}		{{Vassiliev Invariants}}

	~~===[[~~Khovanov Homology~~]]=~~==		{{Khovanov Homology\|table=<table border=1>

	The coefficients of the monomials <math>t^rq^j</math> are shown, along with their alternating sums <math>\chi</math> (fixed <math>j</math>, alternation over <math>r</math>). The squares with <font class=HLYellow>yellow</font> highlighting are those on the "critical diagonals", where <math>j-2r=s+1</math> or <math>j-2r=s+1</math>, where <math>s=</math>{{Data:{{PAGENAME}}/Signature}} is the signature of {{PAGENAME}}. Nonzero entries off the critical diagonals (if any exist) are highlighted in <font class=HLRed>red</font>.

	<center><table border=1>
	<tr align=center>		<tr align=center>
	<td width=13.3333%><table cellpadding=0 cellspacing=0>		<td width=13.3333%><table cellpadding=0 cellspacing=0>
Line 48:		Line 41:
	<tr align=center><td>-7</td><td bgcolor=yellow> </td><td bgcolor=yellow>2</td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td>2</td></tr>		<tr align=center><td>-7</td><td bgcolor=yellow> </td><td bgcolor=yellow>2</td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td>2</td></tr>
	<tr align=center><td>-9</td><td bgcolor=yellow>1</td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td>-1</td></tr>		<tr align=center><td>-9</td><td bgcolor=yellow>1</td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td>-1</td></tr>
	</table>~~</center>~~		</table>}}

	{{Computer Talk Header}}		{{Computer Talk Header}}

Line 142:		Line 134:
	q t + 2 q t + q t</nowiki></pre></td></tr>		q t + 2 q t + q t</nowiki></pre></td></tr>
	</table>		</table>

			[[Category:Knot Page]]

ScottTestRobot at 01:46, 28 August 2005

2005-08-28T01:46:59Z

Show changes

ScottKnotPageRobot: Resetting knot page to basic template.

2005-08-23T22:50:56Z

Resetting knot page to basic template.

New page

10 108 - Revision history

ScottTestRobot at 22:00, 1 September 2005

DrorsRobot at 22:45, 31 August 2005

ScottKnotPageRobot at 14:36, 30 August 2005

DrorsRobot at 01:04, 30 August 2005

DrorsRobot at 22:22, 29 August 2005

ScottTestRobot at 00:09, 29 August 2005

ScottTestRobot at 01:46, 28 August 2005

ScottKnotPageRobot: Resetting knot page to basic template.