ScottTestRobot at 21:56, 1 September 2005

2005-09-01T21:56:55Z

DrorsRobot at 22:40, 31 August 2005

2005-08-31T22:40:06Z

← Older revision		Revision as of 18:40, 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^{110}+3 q^{109}-2 q^{108}-3 q^{107}+6 q^{106}-q^{105}-7 q^{104}+6 q^{103}-3 q^{102}-8 q^{101}+27 q^{100}+15 q^{99}-36 q^{98}-33 q^{97}-35 q^{96}+10 q^{95}+143 q^{94}+163 q^{93}-42 q^{92}-304 q^{91}-413 q^{90}-137 q^{89}+564 q^{88}+1046 q^{87}+609 q^{86}-748 q^{85}-2082 q^{84}-1870 q^{83}+512 q^{82}+3506 q^{81}+4216 q^{80}+917 q^{79}-4843 q^{78}-8013 q^{77}-4205 q^{76}+5160 q^{75}+12706 q^{74}+10303 q^{73}-3107 q^{72}-17644 q^{71}-19075 q^{70}-2456 q^{69}+20846 q^{68}+29986 q^{67}+12476 q^{66}-20922 q^{65}-41368 q^{64}-26486 q^{63}+16293 q^{62}+51184 q^{61}+43414 q^{60}-6648 q^{59}-57668 q^{58}-61166 q^{57}-7311 q^{56}+59653 q^{55}+77568 q^{54}+24096 q^{53}-57034 q^{52}-91035 q^{51}-41593 q^{50}+50558 q^{49}+100573 q^{48}+58118 q^{47}-41592 q^{46}-106151 q^{45}-72282 q^{44}+31335 q^{43}+108228 q^{42}+83882 q^{41}-21123 q^{40}-107606 q^{39}-92468 q^{38}+10949 q^{37}+104784 q^{36}+99127 q^{35}-1357 q^{34}-100296 q^{33}-103365 q^{32}-8536 q^{31}+93644 q^{30}+106299 q^{29}+18484 q^{28}-84914 q^{27}-106690 q^{26}-29009 q^{25}+73258 q^{24}+104837 q^{23}+39228 q^{22}-59043 q^{21}-99208 q^{20}-48503 q^{19}+42392 q^{18}+89989 q^{17}+55132 q^{16}-24834 q^{15}-76576 q^{14}-58163 q^{13}+7918 q^{12}+60438 q^{11}+56432 q^{10}+6160 q^9-42717 q^8-50283 q^7-16066 q^6+26013 q^5+40652 q^4+20776 q^3-11936 q^2-29433 q-20924+1998 q^{-1} +18681 q^{-2} +17664 q^{-3} +3612 q^{-4} -9922 q^{-5} -12822 q^{-6} -5589 q^{-7} +3888 q^{-8} +8061 q^{-9} +5212 q^{-10} -608 q^{-11} -4271 q^{-12} -3747 q^{-13} -768 q^{-14} +1832 q^{-15} +2299 q^{-16} +929 q^{-17} -601 q^{-18} -1134 q^{-19} -668 q^{-20} +57 q^{-21} +489 q^{-22} +395 q^{-23} +37 q^{-24} -181 q^{-25} -159 q^{-26} -40 q^{-27} +34 q^{-28} +75 q^{-29} +31 q^{-30} -31 q^{-31} -18 q^{-32} +2 q^{-33} -2 q^{-34} +4 q^{-35} +9 q^{-36} -7 q^{-37} -3 q^{-38} +4 q^{-39} - q^{-40} </math> \|		coloured_jones_5 = <math>-q^{110}+3 q^{109}-2 q^{108}-3 q^{107}+6 q^{106}-q^{105}-7 q^{104}+6 q^{103}-3 q^{102}-8 q^{101}+27 q^{100}+15 q^{99}-36 q^{98}-33 q^{97}-35 q^{96}+10 q^{95}+143 q^{94}+163 q^{93}-42 q^{92}-304 q^{91}-413 q^{90}-137 q^{89}+564 q^{88}+1046 q^{87}+609 q^{86}-748 q^{85}-2082 q^{84}-1870 q^{83}+512 q^{82}+3506 q^{81}+4216 q^{80}+917 q^{79}-4843 q^{78}-8013 q^{77}-4205 q^{76}+5160 q^{75}+12706 q^{74}+10303 q^{73}-3107 q^{72}-17644 q^{71}-19075 q^{70}-2456 q^{69}+20846 q^{68}+29986 q^{67}+12476 q^{66}-20922 q^{65}-41368 q^{64}-26486 q^{63}+16293 q^{62}+51184 q^{61}+43414 q^{60}-6648 q^{59}-57668 q^{58}-61166 q^{57}-7311 q^{56}+59653 q^{55}+77568 q^{54}+24096 q^{53}-57034 q^{52}-91035 q^{51}-41593 q^{50}+50558 q^{49}+100573 q^{48}+58118 q^{47}-41592 q^{46}-106151 q^{45}-72282 q^{44}+31335 q^{43}+108228 q^{42}+83882 q^{41}-21123 q^{40}-107606 q^{39}-92468 q^{38}+10949 q^{37}+104784 q^{36}+99127 q^{35}-1357 q^{34}-100296 q^{33}-103365 q^{32}-8536 q^{31}+93644 q^{30}+106299 q^{29}+18484 q^{28}-84914 q^{27}-106690 q^{26}-29009 q^{25}+73258 q^{24}+104837 q^{23}+39228 q^{22}-59043 q^{21}-99208 q^{20}-48503 q^{19}+42392 q^{18}+89989 q^{17}+55132 q^{16}-24834 q^{15}-76576 q^{14}-58163 q^{13}+7918 q^{12}+60438 q^{11}+56432 q^{10}+6160 q^9-42717 q^8-50283 q^7-16066 q^6+26013 q^5+40652 q^4+20776 q^3-11936 q^2-29433 q-20924+1998 q^{-1} +18681 q^{-2} +17664 q^{-3} +3612 q^{-4} -9922 q^{-5} -12822 q^{-6} -5589 q^{-7} +3888 q^{-8} +8061 q^{-9} +5212 q^{-10} -608 q^{-11} -4271 q^{-12} -3747 q^{-13} -768 q^{-14} +1832 q^{-15} +2299 q^{-16} +929 q^{-17} -601 q^{-18} -1134 q^{-19} -668 q^{-20} +57 q^{-21} +489 q^{-22} +395 q^{-23} +37 q^{-24} -181 q^{-25} -159 q^{-26} -40 q^{-27} +34 q^{-28} +75 q^{-29} +31 q^{-30} -31 q^{-31} -18 q^{-32} +2 q^{-33} -2 q^{-34} +4 q^{-35} +9 q^{-36} -7 q^{-37} -3 q^{-38} +4 q^{-39} - q^{-40} </math> \|
	coloured_jones_6 = <math>q^{153}-3 q^{152}+2 q^{151}+3 q^{150}-6 q^{149}+q^{148}+2 q^{147}+13 q^{146}-17 q^{145}-7 q^{144}+21 q^{143}-30 q^{142}+q^{141}+26 q^{140}+75 q^{139}-39 q^{138}-79 q^{137}+8 q^{136}-145 q^{135}-22 q^{134}+176 q^{133}+443 q^{132}+119 q^{131}-246 q^{130}-330 q^{129}-974 q^{128}-604 q^{127}+437 q^{126}+2048 q^{125}+1952 q^{124}+721 q^{123}-921 q^{122}-4471 q^{121}-5093 q^{120}-2180 q^{119}+4727 q^{118}+9229 q^{117}+9556 q^{116}+4481 q^{115}-9565 q^{114}-20080 q^{113}-20277 q^{112}-3339 q^{111}+18604 q^{110}+36503 q^{109}+37034 q^{108}+4935 q^{107}-37805 q^{106}-68232 q^{105}-54595 q^{104}-4579 q^{103}+66186 q^{102}+114244 q^{101}+85257 q^{100}-6338 q^{99}-119162 q^{98}-167599 q^{97}-120746 q^{96}+26742 q^{95}+193589 q^{94}+247689 q^{93}+146781 q^{92}-80527 q^{91}-281319 q^{90}-338990 q^{89}-161767 q^{88}+163851 q^{87}+411083 q^{86}+418167 q^{85}+129028 q^{84}-270830 q^{83}-557893 q^{82}-478976 q^{81}-50818 q^{80}+442241 q^{79}+688154 q^{78}+470233 q^{77}-71701 q^{76}-641626 q^{75}-791032 q^{74}-392694 q^{73}+290137 q^{72}+823715 q^{71}+801510 q^{70}+243889 q^{69}-552123 q^{68}-972467 q^{67}-719978 q^{66}+33503 q^{65}+798173 q^{64}+1009815 q^{63}+542427 q^{62}-367069 q^{61}-1006059 q^{60}-936295 q^{59}-211047 q^{58}+682942 q^{57}+1086903 q^{56}+748016 q^{55}-181552 q^{54}-954361 q^{53}-1042736 q^{52}-390720 q^{51}+551136 q^{50}+1087006 q^{49}+871806 q^{48}-26273 q^{47}-870403 q^{46}-1086917 q^{45}-526984 q^{44}+414389 q^{43}+1046366 q^{42}+956458 q^{41}+128777 q^{40}-749709 q^{39}-1090647 q^{38}-657877 q^{37}+236093 q^{36}+946196 q^{35}+1010043 q^{34}+315581 q^{33}-550237 q^{32}-1020617 q^{31}-775839 q^{30}-7921 q^{29}+738632 q^{28}+982646 q^{27}+507688 q^{26}-256910 q^{25}-821648 q^{24}-810590 q^{23}-269684 q^{22}+417483 q^{21}+809982 q^{20}+611935 q^{19}+60074 q^{18}-495888 q^{17}-687484 q^{16}-433994 q^{15}+73152 q^{14}+502265 q^{13}+545481 q^{12}+268108 q^{11}-150757 q^{10}-425011 q^9-415900 q^8-152038 q^7+180052 q^6+337353 q^5+287984 q^4+69876 q^3-151988 q^2-258020 q-192118-18973 q^{-1} +120351 q^{-2} +176693 q^{-3} +117936 q^{-4} +7180 q^{-5} -92700 q^{-6} -116340 q^{-7} -66011 q^{-8} +1410 q^{-9} +59930 q^{-10} +69773 q^{-11} +41846 q^{-12} -7378 q^{-13} -37682 q^{-14} -37935 q^{-15} -22488 q^{-16} +4571 q^{-17} +20705 q^{-18} +23192 q^{-19} +9420 q^{-20} -3587 q^{-21} -9968 q^{-22} -11502 q^{-23} -4917 q^{-24} +1677 q^{-25} +6364 q^{-26} +4433 q^{-27} +1774 q^{-28} -515 q^{-29} -2746 q^{-30} -2155 q^{-31} -841 q^{-32} +954 q^{-33} +804 q^{-34} +660 q^{-35} +403 q^{-36} -322 q^{-37} -420 q^{-38} -306 q^{-39} +130 q^{-40} +34 q^{-41} +77 q^{-42} +123 q^{-43} -22 q^{-44} -49 q^{-45} -59 q^{-46} +41 q^{-47} -5 q^{-48} -9 q^{-49} +22 q^{-50} -3 q^{-51} -4 q^{-52} -9 q^{-53} +7 q^{-54} +3 q^{-55} -4 q^{-56} + q^{-57} </math> \|		coloured_jones_6 = <math>q^{153}-3 q^{152}+2 q^{151}+3 q^{150}-6 q^{149}+q^{148}+2 q^{147}+13 q^{146}-17 q^{145}-7 q^{144}+21 q^{143}-30 q^{142}+q^{141}+26 q^{140}+75 q^{139}-39 q^{138}-79 q^{137}+8 q^{136}-145 q^{135}-22 q^{134}+176 q^{133}+443 q^{132}+119 q^{131}-246 q^{130}-330 q^{129}-974 q^{128}-604 q^{127}+437 q^{126}+2048 q^{125}+1952 q^{124}+721 q^{123}-921 q^{122}-4471 q^{121}-5093 q^{120}-2180 q^{119}+4727 q^{118}+9229 q^{117}+9556 q^{116}+4481 q^{115}-9565 q^{114}-20080 q^{113}-20277 q^{112}-3339 q^{111}+18604 q^{110}+36503 q^{109}+37034 q^{108}+4935 q^{107}-37805 q^{106}-68232 q^{105}-54595 q^{104}-4579 q^{103}+66186 q^{102}+114244 q^{101}+85257 q^{100}-6338 q^{99}-119162 q^{98}-167599 q^{97}-120746 q^{96}+26742 q^{95}+193589 q^{94}+247689 q^{93}+146781 q^{92}-80527 q^{91}-281319 q^{90}-338990 q^{89}-161767 q^{88}+163851 q^{87}+411083 q^{86}+418167 q^{85}+129028 q^{84}-270830 q^{83}-557893 q^{82}-478976 q^{81}-50818 q^{80}+442241 q^{79}+688154 q^{78}+470233 q^{77}-71701 q^{76}-641626 q^{75}-791032 q^{74}-392694 q^{73}+290137 q^{72}+823715 q^{71}+801510 q^{70}+243889 q^{69}-552123 q^{68}-972467 q^{67}-719978 q^{66}+33503 q^{65}+798173 q^{64}+1009815 q^{63}+542427 q^{62}-367069 q^{61}-1006059 q^{60}-936295 q^{59}-211047 q^{58}+682942 q^{57}+1086903 q^{56}+748016 q^{55}-181552 q^{54}-954361 q^{53}-1042736 q^{52}-390720 q^{51}+551136 q^{50}+1087006 q^{49}+871806 q^{48}-26273 q^{47}-870403 q^{46}-1086917 q^{45}-526984 q^{44}+414389 q^{43}+1046366 q^{42}+956458 q^{41}+128777 q^{40}-749709 q^{39}-1090647 q^{38}-657877 q^{37}+236093 q^{36}+946196 q^{35}+1010043 q^{34}+315581 q^{33}-550237 q^{32}-1020617 q^{31}-775839 q^{30}-7921 q^{29}+738632 q^{28}+982646 q^{27}+507688 q^{26}-256910 q^{25}-821648 q^{24}-810590 q^{23}-269684 q^{22}+417483 q^{21}+809982 q^{20}+611935 q^{19}+60074 q^{18}-495888 q^{17}-687484 q^{16}-433994 q^{15}+73152 q^{14}+502265 q^{13}+545481 q^{12}+268108 q^{11}-150757 q^{10}-425011 q^9-415900 q^8-152038 q^7+180052 q^6+337353 q^5+287984 q^4+69876 q^3-151988 q^2-258020 q-192118-18973 q^{-1} +120351 q^{-2} +176693 q^{-3} +117936 q^{-4} +7180 q^{-5} -92700 q^{-6} -116340 q^{-7} -66011 q^{-8} +1410 q^{-9} +59930 q^{-10} +69773 q^{-11} +41846 q^{-12} -7378 q^{-13} -37682 q^{-14} -37935 q^{-15} -22488 q^{-16} +4571 q^{-17} +20705 q^{-18} +23192 q^{-19} +9420 q^{-20} -3587 q^{-21} -9968 q^{-22} -11502 q^{-23} -4917 q^{-24} +1677 q^{-25} +6364 q^{-26} +4433 q^{-27} +1774 q^{-28} -515 q^{-29} -2746 q^{-30} -2155 q^{-31} -841 q^{-32} +954 q^{-33} +804 q^{-34} +660 q^{-35} +403 q^{-36} -322 q^{-37} -420 q^{-38} -306 q^{-39} +130 q^{-40} +34 q^{-41} +77 q^{-42} +123 q^{-43} -22 q^{-44} -49 q^{-45} -59 q^{-46} +41 q^{-47} -5 q^{-48} -9 q^{-49} +22 q^{-50} -3 q^{-51} -4 q^{-52} -9 q^{-53} +7 q^{-54} +3 q^{-55} -4 q^{-56} + q^{-57} </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, 95]]</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, 95]]</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[1, 4, 2, 5], X[3, 10, 4, 11], X[11, 17, 12, 16], X[15, 9, 16, 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[1, 4, 2, 5], X[3, 10, 4, 11], X[11, 17, 12, 16], X[15, 9, 16, 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, 95]]]</nowiki></pre></td></tr><tr><td></td><td align=left>[[Image:10_95_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, 95]]]</nowiki></pre></td></tr><tr><td></td><td align=left>[[Image:10_95_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, 95]]&) /@ {~~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, 95]]&) /@ {
			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>{Chiral, 1, 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>{Chiral, 1, 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, 95]][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, 95]][t]</nowiki></pre></td></tr>

ScottKnotPageRobot at 14:32, 30 August 2005

2005-08-30T14:32:56Z

Show changes

DrorsRobot at 00:59, 30 August 2005

2005-08-30T00:59:38Z

← Older revision		Revision as of 20:59, 29 August 2005
Line 1:		Line 1:
			<!-- This page was generated from the splice template "Rolfsen_Splice_Template". Please do not edit! -->
	<!-- -->		<!-- -->
	<!-- -->		<!-- -->
Line 217:		Line 218:
	</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 21:57, 29 August 2005

2005-08-29T21:57:20Z

Show changes

ScottTestRobot at 00:05, 29 August 2005

2005-08-29T00:05:19Z

← Older revision		Revision as of 20:05, 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=95\|KnotilusURL=http://srankin.math.uwo.ca/cgi-bin/retrieve.cgi/-1,10,-2,1,-6,5,-7,4,-10,2,-3,9,-8,6,-4,3,-9,7,-5,8/goTop.html}}
	{\| align=left
	\|- valign=top
	\|[[Image:{{PAGENAME}}.gif]]
⚫	\|{{Rolfsen Knot ~~Site~~ ~~Links~~\|n=10\|k=95\|KnotilusURL=http://srankin.math.uwo.ca/cgi-bin/retrieve.cgi/-1,10,-2,1,-6,5,-7,4,-10,2,-3,9,-8,6,-4,3,-9,7,-5,8/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>-3</td><td bgcolor=yellow> </td><td bgcolor=yellow>3</td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td>3</td></tr>		<tr align=center><td>-3</td><td bgcolor=yellow> </td><td bgcolor=yellow>3</td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td>3</td></tr>
	<tr align=center><td>-5</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>-5</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 143:		Line 135:
	2 q t + 5 q t + q t + 2 q t + q t</nowiki></pre></td></tr>		2 q t + 5 q t + q t + 2 q t + q t</nowiki></pre></td></tr>
	</table>		</table>

			[[Category:Knot Page]]

ScottTestRobot at 01:44, 28 August 2005

2005-08-28T01:44:15Z

Show changes

ScottKnotPageRobot: Resetting knot page to basic template.

2005-08-23T22:50:43Z

Resetting knot page to basic template.

New page

10 95 - Revision history

ScottTestRobot at 21:56, 1 September 2005

DrorsRobot at 22:40, 31 August 2005

ScottKnotPageRobot at 14:32, 30 August 2005

DrorsRobot at 00:59, 30 August 2005

DrorsRobot at 21:57, 29 August 2005

ScottTestRobot at 00:05, 29 August 2005

ScottTestRobot at 01:44, 28 August 2005

ScottKnotPageRobot: Resetting knot page to basic template.