ScottTestRobot at 22:03, 1 September 2005

2005-09-01T22:03:06Z

DrorsRobot at 22:49, 31 August 2005

2005-08-31T22:49:39Z

← Older revision		Revision as of 18:49, 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^{60}-3 q^{59}+2 q^{58}+3 q^{57}-5 q^{56}+q^{55}+3 q^{54}-7 q^{53}+6 q^{52}+11 q^{51}-15 q^{50}-8 q^{49}+9 q^{48}-2 q^{47}+17 q^{46}+12 q^{45}-34 q^{44}-33 q^{43}+19 q^{42}+52 q^{41}+43 q^{40}-26 q^{39}-122 q^{38}-88 q^{37}+94 q^{36}+243 q^{35}+157 q^{34}-187 q^{33}-475 q^{32}-308 q^{31}+327 q^{30}+856 q^{29}+614 q^{28}-469 q^{27}-1471 q^{26}-1147 q^{25}+587 q^{24}+2264 q^{23}+2023 q^{22}-517 q^{21}-3280 q^{20}-3284 q^{19}+208 q^{18}+4337 q^{17}+4905 q^{16}+521 q^{15}-5306 q^{14}-6822 q^{13}-1668 q^{12}+6010 q^{11}+8808 q^{10}+3212 q^9-6282 q^8-10665 q^7-5016 q^6+6067 q^5+12178 q^4+6893 q^3-5436 q^2-13168 q-8582+4379 q^{-1} +13626 q^{-2} +10042 q^{-3} -3240 q^{-4} -13532 q^{-5} -10991 q^{-6} +1901 q^{-7} +13001 q^{-8} +11683 q^{-9} -736 q^{-10} -12149 q^{-11} -11847 q^{-12} -529 q^{-13} +11049 q^{-14} +11898 q^{-15} +1564 q^{-16} -9750 q^{-17} -11570 q^{-18} -2728 q^{-19} +8303 q^{-20} +11195 q^{-21} +3685 q^{-22} -6674 q^{-23} -10464 q^{-24} -4740 q^{-25} +4915 q^{-26} +9620 q^{-27} +5520 q^{-28} -3062 q^{-29} -8373 q^{-30} -6148 q^{-31} +1175 q^{-32} +6950 q^{-33} +6365 q^{-34} +526 q^{-35} -5229 q^{-36} -6153 q^{-37} -1972 q^{-38} +3432 q^{-39} +5526 q^{-40} +2932 q^{-41} -1725 q^{-42} -4462 q^{-43} -3394 q^{-44} +228 q^{-45} +3251 q^{-46} +3324 q^{-47} +807 q^{-48} -1962 q^{-49} -2839 q^{-50} -1420 q^{-51} +880 q^{-52} +2125 q^{-53} +1555 q^{-54} -74 q^{-55} -1357 q^{-56} -1384 q^{-57} -375 q^{-58} +695 q^{-59} +1030 q^{-60} +540 q^{-61} -231 q^{-62} -658 q^{-63} -493 q^{-64} -24 q^{-65} +337 q^{-66} +363 q^{-67} +128 q^{-68} -136 q^{-69} -229 q^{-70} -117 q^{-71} +31 q^{-72} +103 q^{-73} +93 q^{-74} +16 q^{-75} -54 q^{-76} -50 q^{-77} -9 q^{-78} +8 q^{-79} +21 q^{-80} +20 q^{-81} -7 q^{-82} -12 q^{-83} -2 q^{-84} +5 q^{-87} -3 q^{-89} + q^{-90} </math> \|		coloured_jones_5 = <math>q^{60}-3 q^{59}+2 q^{58}+3 q^{57}-5 q^{56}+q^{55}+3 q^{54}-7 q^{53}+6 q^{52}+11 q^{51}-15 q^{50}-8 q^{49}+9 q^{48}-2 q^{47}+17 q^{46}+12 q^{45}-34 q^{44}-33 q^{43}+19 q^{42}+52 q^{41}+43 q^{40}-26 q^{39}-122 q^{38}-88 q^{37}+94 q^{36}+243 q^{35}+157 q^{34}-187 q^{33}-475 q^{32}-308 q^{31}+327 q^{30}+856 q^{29}+614 q^{28}-469 q^{27}-1471 q^{26}-1147 q^{25}+587 q^{24}+2264 q^{23}+2023 q^{22}-517 q^{21}-3280 q^{20}-3284 q^{19}+208 q^{18}+4337 q^{17}+4905 q^{16}+521 q^{15}-5306 q^{14}-6822 q^{13}-1668 q^{12}+6010 q^{11}+8808 q^{10}+3212 q^9-6282 q^8-10665 q^7-5016 q^6+6067 q^5+12178 q^4+6893 q^3-5436 q^2-13168 q-8582+4379 q^{-1} +13626 q^{-2} +10042 q^{-3} -3240 q^{-4} -13532 q^{-5} -10991 q^{-6} +1901 q^{-7} +13001 q^{-8} +11683 q^{-9} -736 q^{-10} -12149 q^{-11} -11847 q^{-12} -529 q^{-13} +11049 q^{-14} +11898 q^{-15} +1564 q^{-16} -9750 q^{-17} -11570 q^{-18} -2728 q^{-19} +8303 q^{-20} +11195 q^{-21} +3685 q^{-22} -6674 q^{-23} -10464 q^{-24} -4740 q^{-25} +4915 q^{-26} +9620 q^{-27} +5520 q^{-28} -3062 q^{-29} -8373 q^{-30} -6148 q^{-31} +1175 q^{-32} +6950 q^{-33} +6365 q^{-34} +526 q^{-35} -5229 q^{-36} -6153 q^{-37} -1972 q^{-38} +3432 q^{-39} +5526 q^{-40} +2932 q^{-41} -1725 q^{-42} -4462 q^{-43} -3394 q^{-44} +228 q^{-45} +3251 q^{-46} +3324 q^{-47} +807 q^{-48} -1962 q^{-49} -2839 q^{-50} -1420 q^{-51} +880 q^{-52} +2125 q^{-53} +1555 q^{-54} -74 q^{-55} -1357 q^{-56} -1384 q^{-57} -375 q^{-58} +695 q^{-59} +1030 q^{-60} +540 q^{-61} -231 q^{-62} -658 q^{-63} -493 q^{-64} -24 q^{-65} +337 q^{-66} +363 q^{-67} +128 q^{-68} -136 q^{-69} -229 q^{-70} -117 q^{-71} +31 q^{-72} +103 q^{-73} +93 q^{-74} +16 q^{-75} -54 q^{-76} -50 q^{-77} -9 q^{-78} +8 q^{-79} +21 q^{-80} +20 q^{-81} -7 q^{-82} -12 q^{-83} -2 q^{-84} +5 q^{-87} -3 q^{-89} + q^{-90} </math> \|
	coloured_jones_6 = <math>q^{84}-3 q^{83}+2 q^{82}+3 q^{81}-5 q^{80}+q^{79}-q^{78}+9 q^{77}-13 q^{76}+2 q^{75}+22 q^{74}-26 q^{73}-q^{72}+q^{71}+31 q^{70}-34 q^{69}-7 q^{68}+68 q^{67}-74 q^{66}-7 q^{65}+22 q^{64}+94 q^{63}-97 q^{62}-63 q^{61}+137 q^{60}-170 q^{59}+39 q^{58}+144 q^{57}+276 q^{56}-255 q^{55}-344 q^{54}+75 q^{53}-406 q^{52}+292 q^{51}+731 q^{50}+933 q^{49}-479 q^{48}-1257 q^{47}-794 q^{46}-1333 q^{45}+833 q^{44}+2600 q^{43}+3271 q^{42}-43 q^{41}-3161 q^{40}-3921 q^{39}-4755 q^{38}+780 q^{37}+6538 q^{36}+9562 q^{35}+3504 q^{34}-5075 q^{33}-10652 q^{32}-13770 q^{31}-2951 q^{30}+11446 q^{29}+21583 q^{28}+14012 q^{27}-3221 q^{26}-19617 q^{25}-30304 q^{24}-14793 q^{23}+12727 q^{22}+37220 q^{21}+33255 q^{20}+7408 q^{19}-25188 q^{18}-51118 q^{17}-36080 q^{16}+4784 q^{15}+49423 q^{14}+56779 q^{13}+27752 q^{12}-21191 q^{11}-67829 q^{10}-61209 q^9-12969 q^8+51339 q^7+75348 q^6+51540 q^5-7291 q^4-73368 q^3-80674 q^2-34022 q+42712+82343 q^{-1} +69733 q^{-2} +10175 q^{-3} -67824 q^{-4} -88763 q^{-5} -50302 q^{-6} +29319 q^{-7} +78463 q^{-8} +77935 q^{-9} +24454 q^{-10} -56510 q^{-11} -86850 q^{-12} -58801 q^{-13} +16521 q^{-14} +68635 q^{-15} +78120 q^{-16} +33829 q^{-17} -43669 q^{-18} -79406 q^{-19} -61872 q^{-20} +5092 q^{-21} +56198 q^{-22} +74131 q^{-23} +40667 q^{-24} -29556 q^{-25} -68790 q^{-26} -62481 q^{-27} -6934 q^{-28} +40979 q^{-29} +67133 q^{-30} +46732 q^{-31} -12762 q^{-32} -54141 q^{-33} -60363 q^{-34} -19911 q^{-35} +21879 q^{-36} +55246 q^{-37} +50146 q^{-38} +5807 q^{-39} -34274 q^{-40} -52415 q^{-41} -30301 q^{-42} +617 q^{-43} +36906 q^{-44} +46584 q^{-45} +21237 q^{-46} -11463 q^{-47} -36634 q^{-48} -32612 q^{-49} -16977 q^{-50} +14804 q^{-51} +33809 q^{-52} +27250 q^{-53} +7649 q^{-54} -16177 q^{-55} -24473 q^{-56} -24292 q^{-57} -3790 q^{-58} +15615 q^{-59} +21777 q^{-60} +16265 q^{-61} +1102 q^{-62} -10285 q^{-63} -19881 q^{-64} -12162 q^{-65} +312 q^{-66} +9995 q^{-67} +13583 q^{-68} +8744 q^{-69} +1510 q^{-70} -9606 q^{-71} -10236 q^{-72} -6174 q^{-73} +306 q^{-74} +5815 q^{-75} +7349 q^{-76} +5783 q^{-77} -1449 q^{-78} -4247 q^{-79} -5094 q^{-80} -3062 q^{-81} +89 q^{-82} +2883 q^{-83} +4282 q^{-84} +1380 q^{-85} -183 q^{-86} -1887 q^{-87} -2122 q^{-88} -1464 q^{-89} +120 q^{-90} +1651 q^{-91} +988 q^{-92} +771 q^{-93} -111 q^{-94} -593 q^{-95} -904 q^{-96} -437 q^{-97} +313 q^{-98} +219 q^{-99} +416 q^{-100} +192 q^{-101} +27 q^{-102} -277 q^{-103} -223 q^{-104} +15 q^{-105} -33 q^{-106} +98 q^{-107} +80 q^{-108} +76 q^{-109} -50 q^{-110} -57 q^{-111} +2 q^{-112} -30 q^{-113} +9 q^{-114} +12 q^{-115} +29 q^{-116} -7 q^{-117} -12 q^{-118} +5 q^{-119} -7 q^{-120} +5 q^{-123} -3 q^{-125} + q^{-126} </math> \|		coloured_jones_6 = <math>q^{84}-3 q^{83}+2 q^{82}+3 q^{81}-5 q^{80}+q^{79}-q^{78}+9 q^{77}-13 q^{76}+2 q^{75}+22 q^{74}-26 q^{73}-q^{72}+q^{71}+31 q^{70}-34 q^{69}-7 q^{68}+68 q^{67}-74 q^{66}-7 q^{65}+22 q^{64}+94 q^{63}-97 q^{62}-63 q^{61}+137 q^{60}-170 q^{59}+39 q^{58}+144 q^{57}+276 q^{56}-255 q^{55}-344 q^{54}+75 q^{53}-406 q^{52}+292 q^{51}+731 q^{50}+933 q^{49}-479 q^{48}-1257 q^{47}-794 q^{46}-1333 q^{45}+833 q^{44}+2600 q^{43}+3271 q^{42}-43 q^{41}-3161 q^{40}-3921 q^{39}-4755 q^{38}+780 q^{37}+6538 q^{36}+9562 q^{35}+3504 q^{34}-5075 q^{33}-10652 q^{32}-13770 q^{31}-2951 q^{30}+11446 q^{29}+21583 q^{28}+14012 q^{27}-3221 q^{26}-19617 q^{25}-30304 q^{24}-14793 q^{23}+12727 q^{22}+37220 q^{21}+33255 q^{20}+7408 q^{19}-25188 q^{18}-51118 q^{17}-36080 q^{16}+4784 q^{15}+49423 q^{14}+56779 q^{13}+27752 q^{12}-21191 q^{11}-67829 q^{10}-61209 q^9-12969 q^8+51339 q^7+75348 q^6+51540 q^5-7291 q^4-73368 q^3-80674 q^2-34022 q+42712+82343 q^{-1} +69733 q^{-2} +10175 q^{-3} -67824 q^{-4} -88763 q^{-5} -50302 q^{-6} +29319 q^{-7} +78463 q^{-8} +77935 q^{-9} +24454 q^{-10} -56510 q^{-11} -86850 q^{-12} -58801 q^{-13} +16521 q^{-14} +68635 q^{-15} +78120 q^{-16} +33829 q^{-17} -43669 q^{-18} -79406 q^{-19} -61872 q^{-20} +5092 q^{-21} +56198 q^{-22} +74131 q^{-23} +40667 q^{-24} -29556 q^{-25} -68790 q^{-26} -62481 q^{-27} -6934 q^{-28} +40979 q^{-29} +67133 q^{-30} +46732 q^{-31} -12762 q^{-32} -54141 q^{-33} -60363 q^{-34} -19911 q^{-35} +21879 q^{-36} +55246 q^{-37} +50146 q^{-38} +5807 q^{-39} -34274 q^{-40} -52415 q^{-41} -30301 q^{-42} +617 q^{-43} +36906 q^{-44} +46584 q^{-45} +21237 q^{-46} -11463 q^{-47} -36634 q^{-48} -32612 q^{-49} -16977 q^{-50} +14804 q^{-51} +33809 q^{-52} +27250 q^{-53} +7649 q^{-54} -16177 q^{-55} -24473 q^{-56} -24292 q^{-57} -3790 q^{-58} +15615 q^{-59} +21777 q^{-60} +16265 q^{-61} +1102 q^{-62} -10285 q^{-63} -19881 q^{-64} -12162 q^{-65} +312 q^{-66} +9995 q^{-67} +13583 q^{-68} +8744 q^{-69} +1510 q^{-70} -9606 q^{-71} -10236 q^{-72} -6174 q^{-73} +306 q^{-74} +5815 q^{-75} +7349 q^{-76} +5783 q^{-77} -1449 q^{-78} -4247 q^{-79} -5094 q^{-80} -3062 q^{-81} +89 q^{-82} +2883 q^{-83} +4282 q^{-84} +1380 q^{-85} -183 q^{-86} -1887 q^{-87} -2122 q^{-88} -1464 q^{-89} +120 q^{-90} +1651 q^{-91} +988 q^{-92} +771 q^{-93} -111 q^{-94} -593 q^{-95} -904 q^{-96} -437 q^{-97} +313 q^{-98} +219 q^{-99} +416 q^{-100} +192 q^{-101} +27 q^{-102} -277 q^{-103} -223 q^{-104} +15 q^{-105} -33 q^{-106} +98 q^{-107} +80 q^{-108} +76 q^{-109} -50 q^{-110} -57 q^{-111} +2 q^{-112} -30 q^{-113} +9 q^{-114} +12 q^{-115} +29 q^{-116} -7 q^{-117} -12 q^{-118} +5 q^{-119} -7 q^{-120} +5 q^{-123} -3 q^{-125} + q^{-126} </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, 32]]</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, 32]]</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, 12, 4, 13], X[5, 14, 6, 15], X[15, 20, 16, 1],		<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, 12, 4, 13], X[5, 14, 6, 15], X[15, 20, 16, 1],
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, 32]]]</nowiki></pre></td></tr><tr><td></td><td align=left>[[Image:10_32_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, 32]]]</nowiki></pre></td></tr><tr><td></td><td align=left>[[Image:10_32_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, 32]]&) /@ {~~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, 32]]&) /@ {
			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, 1, 3, 2, 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, 1, 3, 2, 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, 32]][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, 32]][t]</nowiki></pre></td></tr>

ScottKnotPageRobot at 14:39, 30 August 2005

2005-08-30T14:39:06Z

Show changes

DrorsRobot at 01:06, 30 August 2005

2005-08-30T01:06:36Z

← Older revision		Revision as of 21:06, 29 August 2005
Line 1:		Line 1:
			<!-- This page was generated from the splice template "Rolfsen_Splice_Template". Please do not edit! -->
	<!-- -->		<!-- -->
	<!-- -->		<!-- -->
Line 219:		Line 220:
	</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 22:15, 29 August 2005

2005-08-29T22:15:57Z

Show changes

ScottTestRobot at 00:12, 29 August 2005

2005-08-29T00:12:34Z

← Older revision		Revision as of 20:12, 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=32\|KnotilusURL=http://srankin.math.uwo.ca/cgi-bin/retrieve.cgi/-1,10,-2,1,-3,6,-5,8,-7,9,-10,2,-9,3,-4,5,-8,7,-6,4/goTop.html}}
	{\| align=left
	\|- valign=top
	\|[[Image:{{PAGENAME}}.gif]]
⚫	\|{{Rolfsen Knot ~~Site~~ ~~Links~~\|n=10\|k=32\|KnotilusURL=http://srankin.math.uwo.ca/cgi-bin/retrieve.cgi/-1,10,-2,1,-3,6,-5,8,-7,9,-10,2,-9,3,-4,5,-8,7,-6,4/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>-11</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>-11</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>-13</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>-13</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:
	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 01:49, 28 August 2005

2005-08-28T01:49:15Z

Show changes

ScottKnotPageRobot: Resetting knot page to basic template.

2005-08-23T22:49:46Z

Resetting knot page to basic template.

New page

10 32 - Revision history

ScottTestRobot at 22:03, 1 September 2005

DrorsRobot at 22:49, 31 August 2005

ScottKnotPageRobot at 14:39, 30 August 2005

DrorsRobot at 01:06, 30 August 2005

DrorsRobot at 22:15, 29 August 2005

ScottTestRobot at 00:12, 29 August 2005

ScottTestRobot at 01:49, 28 August 2005

ScottKnotPageRobot: Resetting knot page to basic template.