10 80 - Revision history

Drorbn: Reverted edits by RactrOcroe (Talk); changed back to last version by Drorbn

2009-05-27T21:26:53Z

Reverted edits by RactrOcroe (Talk); changed back to last version by Drorbn

← Older revision		Revision as of 17:26, 27 May 2009
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	http://www.textgetcobocr.com
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RactrOcroe at 09:58, 22 May 2009

2009-05-22T09:58:54Z

← Older revision		Revision as of 05:58, 22 May 2009
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			http://www.textgetcobocr.com
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Drorbn: Reverted edits by DarorAcele (Talk); changed back to last version by ScottTestRobot

2008-12-19T23:55:03Z

Reverted edits by DarorAcele (Talk); changed back to last version by ScottTestRobot

← Older revision		Revision as of 19:55, 19 December 2008
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	domc4tvi
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DarorAcele: cnaeld

2008-12-19T20:19:11Z

cnaeld

← Older revision		Revision as of 16:19, 19 December 2008
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			domc4tvi
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ScottTestRobot at 22:02, 1 September 2005

2005-09-01T22:02:11Z

Show changes

DrorsRobot at 22:47, 31 August 2005

2005-08-31T22:47:53Z

← Older revision		Revision as of 18:47, 31 August 2005
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	coloured_jones_5 = <math> q^{-15} -2 q^{-16} + q^{-17} +3 q^{-18} -2 q^{-19} -2 q^{-20} +2 q^{-21} -7 q^{-22} +3 q^{-23} +20 q^{-24} +5 q^{-25} -17 q^{-26} -17 q^{-27} -39 q^{-28} + q^{-29} +79 q^{-30} +94 q^{-31} +9 q^{-32} -92 q^{-33} -214 q^{-34} -153 q^{-35} +126 q^{-36} +381 q^{-37} +376 q^{-38} +48 q^{-39} -545 q^{-40} -823 q^{-41} -395 q^{-42} +508 q^{-43} +1274 q^{-44} +1214 q^{-45} -131 q^{-46} -1702 q^{-47} -2145 q^{-48} -896 q^{-49} +1524 q^{-50} +3359 q^{-51} +2484 q^{-52} -766 q^{-53} -3951 q^{-54} -4525 q^{-55} -1224 q^{-56} +4003 q^{-57} +6550 q^{-58} +3830 q^{-59} -2604 q^{-60} -7995 q^{-61} -7264 q^{-62} +170 q^{-63} +8421 q^{-64} +10422 q^{-65} +3609 q^{-66} -7489 q^{-67} -13298 q^{-68} -7784 q^{-69} +5219 q^{-70} +14955 q^{-71} +12355 q^{-72} -1888 q^{-73} -15744 q^{-74} -16305 q^{-75} -2091 q^{-76} +15203 q^{-77} +19868 q^{-78} +6267 q^{-79} -14086 q^{-80} -22458 q^{-81} -10256 q^{-82} +12272 q^{-83} +24470 q^{-84} +13933 q^{-85} -10390 q^{-86} -25821 q^{-87} -17131 q^{-88} +8352 q^{-89} +26751 q^{-90} +19975 q^{-91} -6296 q^{-92} -27310 q^{-93} -22483 q^{-94} +4155 q^{-95} +27344 q^{-96} +24699 q^{-97} -1680 q^{-98} -26836 q^{-99} -26529 q^{-100} -1020 q^{-101} +25343 q^{-102} +27760 q^{-103} +4154 q^{-104} -22979 q^{-105} -28067 q^{-106} -7181 q^{-107} +19354 q^{-108} +27214 q^{-109} +10069 q^{-110} -15129 q^{-111} -24980 q^{-112} -11960 q^{-113} +10274 q^{-114} +21512 q^{-115} +12956 q^{-116} -5870 q^{-117} -17207 q^{-118} -12414 q^{-119} +2016 q^{-120} +12596 q^{-121} +10972 q^{-122} +539 q^{-123} -8363 q^{-124} -8673 q^{-125} -1959 q^{-126} +4889 q^{-127} +6265 q^{-128} +2323 q^{-129} -2445 q^{-130} -4066 q^{-131} -2062 q^{-132} +981 q^{-133} +2362 q^{-134} +1508 q^{-135} -229 q^{-136} -1223 q^{-137} -966 q^{-138} -51 q^{-139} +571 q^{-140} +529 q^{-141} +106 q^{-142} -230 q^{-143} -250 q^{-144} -94 q^{-145} +79 q^{-146} +124 q^{-147} +42 q^{-148} -34 q^{-149} -29 q^{-150} -23 q^{-151} -8 q^{-152} +28 q^{-153} +10 q^{-154} -14 q^{-155} +5 q^{-156} -9 q^{-158} +5 q^{-159} +4 q^{-160} -5 q^{-161} +2 q^{-162} +2 q^{-163} -3 q^{-164} + q^{-165} </math> \|		coloured_jones_5 = <math> q^{-15} -2 q^{-16} + q^{-17} +3 q^{-18} -2 q^{-19} -2 q^{-20} +2 q^{-21} -7 q^{-22} +3 q^{-23} +20 q^{-24} +5 q^{-25} -17 q^{-26} -17 q^{-27} -39 q^{-28} + q^{-29} +79 q^{-30} +94 q^{-31} +9 q^{-32} -92 q^{-33} -214 q^{-34} -153 q^{-35} +126 q^{-36} +381 q^{-37} +376 q^{-38} +48 q^{-39} -545 q^{-40} -823 q^{-41} -395 q^{-42} +508 q^{-43} +1274 q^{-44} +1214 q^{-45} -131 q^{-46} -1702 q^{-47} -2145 q^{-48} -896 q^{-49} +1524 q^{-50} +3359 q^{-51} +2484 q^{-52} -766 q^{-53} -3951 q^{-54} -4525 q^{-55} -1224 q^{-56} +4003 q^{-57} +6550 q^{-58} +3830 q^{-59} -2604 q^{-60} -7995 q^{-61} -7264 q^{-62} +170 q^{-63} +8421 q^{-64} +10422 q^{-65} +3609 q^{-66} -7489 q^{-67} -13298 q^{-68} -7784 q^{-69} +5219 q^{-70} +14955 q^{-71} +12355 q^{-72} -1888 q^{-73} -15744 q^{-74} -16305 q^{-75} -2091 q^{-76} +15203 q^{-77} +19868 q^{-78} +6267 q^{-79} -14086 q^{-80} -22458 q^{-81} -10256 q^{-82} +12272 q^{-83} +24470 q^{-84} +13933 q^{-85} -10390 q^{-86} -25821 q^{-87} -17131 q^{-88} +8352 q^{-89} +26751 q^{-90} +19975 q^{-91} -6296 q^{-92} -27310 q^{-93} -22483 q^{-94} +4155 q^{-95} +27344 q^{-96} +24699 q^{-97} -1680 q^{-98} -26836 q^{-99} -26529 q^{-100} -1020 q^{-101} +25343 q^{-102} +27760 q^{-103} +4154 q^{-104} -22979 q^{-105} -28067 q^{-106} -7181 q^{-107} +19354 q^{-108} +27214 q^{-109} +10069 q^{-110} -15129 q^{-111} -24980 q^{-112} -11960 q^{-113} +10274 q^{-114} +21512 q^{-115} +12956 q^{-116} -5870 q^{-117} -17207 q^{-118} -12414 q^{-119} +2016 q^{-120} +12596 q^{-121} +10972 q^{-122} +539 q^{-123} -8363 q^{-124} -8673 q^{-125} -1959 q^{-126} +4889 q^{-127} +6265 q^{-128} +2323 q^{-129} -2445 q^{-130} -4066 q^{-131} -2062 q^{-132} +981 q^{-133} +2362 q^{-134} +1508 q^{-135} -229 q^{-136} -1223 q^{-137} -966 q^{-138} -51 q^{-139} +571 q^{-140} +529 q^{-141} +106 q^{-142} -230 q^{-143} -250 q^{-144} -94 q^{-145} +79 q^{-146} +124 q^{-147} +42 q^{-148} -34 q^{-149} -29 q^{-150} -23 q^{-151} -8 q^{-152} +28 q^{-153} +10 q^{-154} -14 q^{-155} +5 q^{-156} -9 q^{-158} +5 q^{-159} +4 q^{-160} -5 q^{-161} +2 q^{-162} +2 q^{-163} -3 q^{-164} + q^{-165} </math> \|
	coloured_jones_6 = <math> q^{-18} -2 q^{-19} + q^{-20} +3 q^{-21} -2 q^{-22} -2 q^{-23} -3 q^{-24} +8 q^{-25} -6 q^{-26} +22 q^{-28} -4 q^{-29} -15 q^{-30} -33 q^{-31} +12 q^{-32} -10 q^{-33} +11 q^{-34} +107 q^{-35} +46 q^{-36} -27 q^{-37} -166 q^{-38} -94 q^{-39} -145 q^{-40} -15 q^{-41} +382 q^{-42} +418 q^{-43} +291 q^{-44} -275 q^{-45} -464 q^{-46} -945 q^{-47} -777 q^{-48} +387 q^{-49} +1277 q^{-50} +1853 q^{-51} +970 q^{-52} +41 q^{-53} -2344 q^{-54} -3576 q^{-55} -2259 q^{-56} +354 q^{-57} +3854 q^{-58} +5097 q^{-59} +5151 q^{-60} -221 q^{-61} -6123 q^{-62} -8961 q^{-63} -7421 q^{-64} -401 q^{-65} +7345 q^{-66} +15251 q^{-67} +11758 q^{-68} +1384 q^{-69} -11545 q^{-70} -20292 q^{-71} -17888 q^{-72} -5285 q^{-73} +17736 q^{-74} +28626 q^{-75} +25578 q^{-76} +5859 q^{-77} -20827 q^{-78} -39416 q^{-79} -37853 q^{-80} -5435 q^{-81} +28402 q^{-82} +52431 q^{-83} +45719 q^{-84} +9834 q^{-85} -39229 q^{-86} -71461 q^{-87} -53396 q^{-88} -7204 q^{-89} +53714 q^{-90} +85123 q^{-91} +66914 q^{-92} -907 q^{-93} -77001 q^{-94} -100285 q^{-95} -69625 q^{-96} +15833 q^{-97} +95843 q^{-98} +122768 q^{-99} +63685 q^{-100} -44277 q^{-101} -119857 q^{-102} -130841 q^{-103} -46846 q^{-104} +71245 q^{-105} +153696 q^{-106} +127270 q^{-107} +10843 q^{-108} -108362 q^{-109} -170090 q^{-110} -108664 q^{-111} +27591 q^{-112} +157840 q^{-113} +172030 q^{-114} +65196 q^{-115} -81111 q^{-116} -186771 q^{-117} -154700 q^{-118} -15210 q^{-119} +148440 q^{-120} +198150 q^{-121} +107147 q^{-122} -53884 q^{-123} -191824 q^{-124} -186057 q^{-125} -49336 q^{-126} +136763 q^{-127} +214526 q^{-128} +139486 q^{-129} -30031 q^{-130} -192429 q^{-131} -210457 q^{-132} -80100 q^{-133} +121623 q^{-134} +224952 q^{-135} +169705 q^{-136} -1170 q^{-137} -183335 q^{-138} -228998 q^{-139} -115272 q^{-140} +91816 q^{-141} +220603 q^{-142} +196390 q^{-143} +40424 q^{-144} -151162 q^{-145} -229384 q^{-146} -150503 q^{-147} +40685 q^{-148} +186513 q^{-149} +203544 q^{-150} +86451 q^{-151} -91437 q^{-152} -195465 q^{-153} -165771 q^{-154} -18423 q^{-155} +121201 q^{-156} +174229 q^{-157} +112632 q^{-158} -22997 q^{-159} -129229 q^{-160} -143829 q^{-161} -57173 q^{-162} +48484 q^{-163} +113847 q^{-164} +101941 q^{-165} +23230 q^{-166} -58221 q^{-167} -93143 q^{-168} -59535 q^{-169} -266 q^{-170} +51631 q^{-171} +65110 q^{-172} +33763 q^{-173} -11911 q^{-174} -42600 q^{-175} -37820 q^{-176} -15340 q^{-177} +12999 q^{-178} +28872 q^{-179} +22358 q^{-180} +4240 q^{-181} -12619 q^{-182} -15584 q^{-183} -11188 q^{-184} -586 q^{-185} +8545 q^{-186} +9270 q^{-187} +4402 q^{-188} -1926 q^{-189} -3949 q^{-190} -4536 q^{-191} -1945 q^{-192} +1578 q^{-193} +2573 q^{-194} +1748 q^{-195} +20 q^{-196} -412 q^{-197} -1203 q^{-198} -890 q^{-199} +183 q^{-200} +505 q^{-201} +419 q^{-202} +26 q^{-203} +111 q^{-204} -220 q^{-205} -270 q^{-206} +34 q^{-207} +85 q^{-208} +71 q^{-209} -31 q^{-210} +71 q^{-211} -30 q^{-212} -71 q^{-213} +18 q^{-214} +14 q^{-215} +15 q^{-216} -22 q^{-217} +21 q^{-218} -19 q^{-220} +7 q^{-221} + q^{-222} +4 q^{-223} -5 q^{-224} +2 q^{-225} +2 q^{-226} -3 q^{-227} + q^{-228} </math> \|		coloured_jones_6 = <math> q^{-18} -2 q^{-19} + q^{-20} +3 q^{-21} -2 q^{-22} -2 q^{-23} -3 q^{-24} +8 q^{-25} -6 q^{-26} +22 q^{-28} -4 q^{-29} -15 q^{-30} -33 q^{-31} +12 q^{-32} -10 q^{-33} +11 q^{-34} +107 q^{-35} +46 q^{-36} -27 q^{-37} -166 q^{-38} -94 q^{-39} -145 q^{-40} -15 q^{-41} +382 q^{-42} +418 q^{-43} +291 q^{-44} -275 q^{-45} -464 q^{-46} -945 q^{-47} -777 q^{-48} +387 q^{-49} +1277 q^{-50} +1853 q^{-51} +970 q^{-52} +41 q^{-53} -2344 q^{-54} -3576 q^{-55} -2259 q^{-56} +354 q^{-57} +3854 q^{-58} +5097 q^{-59} +5151 q^{-60} -221 q^{-61} -6123 q^{-62} -8961 q^{-63} -7421 q^{-64} -401 q^{-65} +7345 q^{-66} +15251 q^{-67} +11758 q^{-68} +1384 q^{-69} -11545 q^{-70} -20292 q^{-71} -17888 q^{-72} -5285 q^{-73} +17736 q^{-74} +28626 q^{-75} +25578 q^{-76} +5859 q^{-77} -20827 q^{-78} -39416 q^{-79} -37853 q^{-80} -5435 q^{-81} +28402 q^{-82} +52431 q^{-83} +45719 q^{-84} +9834 q^{-85} -39229 q^{-86} -71461 q^{-87} -53396 q^{-88} -7204 q^{-89} +53714 q^{-90} +85123 q^{-91} +66914 q^{-92} -907 q^{-93} -77001 q^{-94} -100285 q^{-95} -69625 q^{-96} +15833 q^{-97} +95843 q^{-98} +122768 q^{-99} +63685 q^{-100} -44277 q^{-101} -119857 q^{-102} -130841 q^{-103} -46846 q^{-104} +71245 q^{-105} +153696 q^{-106} +127270 q^{-107} +10843 q^{-108} -108362 q^{-109} -170090 q^{-110} -108664 q^{-111} +27591 q^{-112} +157840 q^{-113} +172030 q^{-114} +65196 q^{-115} -81111 q^{-116} -186771 q^{-117} -154700 q^{-118} -15210 q^{-119} +148440 q^{-120} +198150 q^{-121} +107147 q^{-122} -53884 q^{-123} -191824 q^{-124} -186057 q^{-125} -49336 q^{-126} +136763 q^{-127} +214526 q^{-128} +139486 q^{-129} -30031 q^{-130} -192429 q^{-131} -210457 q^{-132} -80100 q^{-133} +121623 q^{-134} +224952 q^{-135} +169705 q^{-136} -1170 q^{-137} -183335 q^{-138} -228998 q^{-139} -115272 q^{-140} +91816 q^{-141} +220603 q^{-142} +196390 q^{-143} +40424 q^{-144} -151162 q^{-145} -229384 q^{-146} -150503 q^{-147} +40685 q^{-148} +186513 q^{-149} +203544 q^{-150} +86451 q^{-151} -91437 q^{-152} -195465 q^{-153} -165771 q^{-154} -18423 q^{-155} +121201 q^{-156} +174229 q^{-157} +112632 q^{-158} -22997 q^{-159} -129229 q^{-160} -143829 q^{-161} -57173 q^{-162} +48484 q^{-163} +113847 q^{-164} +101941 q^{-165} +23230 q^{-166} -58221 q^{-167} -93143 q^{-168} -59535 q^{-169} -266 q^{-170} +51631 q^{-171} +65110 q^{-172} +33763 q^{-173} -11911 q^{-174} -42600 q^{-175} -37820 q^{-176} -15340 q^{-177} +12999 q^{-178} +28872 q^{-179} +22358 q^{-180} +4240 q^{-181} -12619 q^{-182} -15584 q^{-183} -11188 q^{-184} -586 q^{-185} +8545 q^{-186} +9270 q^{-187} +4402 q^{-188} -1926 q^{-189} -3949 q^{-190} -4536 q^{-191} -1945 q^{-192} +1578 q^{-193} +2573 q^{-194} +1748 q^{-195} +20 q^{-196} -412 q^{-197} -1203 q^{-198} -890 q^{-199} +183 q^{-200} +505 q^{-201} +419 q^{-202} +26 q^{-203} +111 q^{-204} -220 q^{-205} -270 q^{-206} +34 q^{-207} +85 q^{-208} +71 q^{-209} -31 q^{-210} +71 q^{-211} -30 q^{-212} -71 q^{-213} +18 q^{-214} +14 q^{-215} +15 q^{-216} -22 q^{-217} +21 q^{-218} -19 q^{-220} +7 q^{-221} + q^{-222} +4 q^{-223} -5 q^{-224} +2 q^{-225} +2 q^{-226} -3 q^{-227} + q^{-228} </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, 80]]</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, 80]]</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, 8, 4, 9], X[5, 12, 6, 13], X[13, 18, 14, 19],		<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, 8, 4, 9], X[5, 12, 6, 13], X[13, 18, 14, 19],
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	<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, 80]]]</nowiki></pre></td></tr><tr><td></td><td align=left>[[Image:10_80_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, 80]]]</nowiki></pre></td></tr><tr><td></td><td align=left>[[Image:10_80_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, 80]]&) /@ {~~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, 80]]&) /@ {
			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, 3, 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, 3, 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, 80]][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, 80]][t]</nowiki></pre></td></tr>

ScottKnotPageRobot at 14:38, 30 August 2005

2005-08-30T14:38:10Z

Show changes

DrorsRobot at 01:05, 30 August 2005

2005-08-30T01:05:33Z

← Older revision		Revision as of 21:05, 29 August 2005
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DrorsRobot at 22:20, 29 August 2005

2005-08-29T22:20:02Z

Show changes

ScottTestRobot at 00:11, 29 August 2005

2005-08-29T00:11:32Z

← Older revision		Revision as of 20:11, 28 August 2005
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		⚫	{{Rolfsen Knot Page Header\|n=10\|k=80\|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}}
	{\| align=left
	\|- valign=top
	\|[[Image:{{PAGENAME}}.gif]]
⚫	\|{{Rolfsen Knot ~~Site~~ ~~Links~~\|n=10\|k=80\|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}}
	\|{{:{{PAGENAME}} Quick Notes}}
	\|}

	<br style="clear:both" />		<br style="clear:both" />
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	{{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>
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	<tr align=center><td>-25</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>-25</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>-27</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>-27</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}}

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	q t q t q t q t q t</nowiki></pre></td></tr>		q t q t q t q t q t</nowiki></pre></td></tr>
	</table>		</table>

			[[Category:Knot Page]]