Magma V2.19-8 Tue Aug 20 2013 17:56:52 on localhost [Seed = 88387871] Type ? for help. Type -D to quit. Loading file "11_162__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_162 geometric_solution 11.43159695 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1230 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.707254866691 0.941259476817 0 4 0 5 0132 0132 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 1 4 0 -5 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489780941960 0.679031769523 6 4 7 0 0132 1302 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.832135866242 0.668337422383 8 8 0 9 0132 1302 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 0 0 -1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.707254866691 0.941259476817 6 1 10 2 1023 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.549831218689 0.703223460987 6 9 1 7 2103 1302 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.959453208618 1.255940664672 2 4 5 11 0132 1023 2103 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.744227367322 0.462812539600 10 8 5 2 2031 3201 2031 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.025678274523 0.795386960913 3 11 7 3 0132 3120 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 0 0 1 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301280681414 0.968703709459 11 10 3 5 3120 1023 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.832135866242 0.668337422383 9 11 7 4 1023 1023 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 -1 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.744227367322 0.462812539600 10 8 6 9 1023 3120 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.549831218689 0.703223460987 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_4'], 'c_1001_10' : d['c_0101_11'], 'c_1001_5' : d['c_0110_11'], 'c_1001_4' : d['c_0110_11'], 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0101_7']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0110_4'], 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : negation(d['c_0110_4']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_0110_11'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_7']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_10'], 'c_1100_8' : d['c_0011_7'], 'c_1100_5' : d['c_0101_7'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : negation(d['c_1010_5']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : d['c_0101_7'], 'c_1100_0' : negation(d['c_1010_5']), 'c_1100_3' : negation(d['c_1010_5']), 'c_1100_2' : negation(d['c_1010_5']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_1010_5']), 'c_1100_11' : negation(d['c_0101_8']), 'c_1100_10' : d['c_0101_7'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_4'], 'c_1010_6' : d['c_0110_4'], 'c_1010_5' : d['c_1010_5'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0011_7']), 'c_1010_2' : negation(d['c_0101_7']), 'c_1010_1' : d['c_0110_11'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0011_5'], 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0011_5'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_11'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_5, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0101_8, c_0110_11, c_0110_4, c_1010_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 46815017/44064*c_1010_5^8 - 340575295/44064*c_1010_5^7 - 468155153/22032*c_1010_5^6 - 204809911/11016*c_1010_5^5 + 589571935/22032*c_1010_5^4 + 689644441/11016*c_1010_5^3 + 56366857/44064*c_1010_5^2 - 3776432633/44064*c_1010_5 - 680949677/11016, c_0011_0 - 1, c_0011_10 - 1, c_0011_5 - 27/68*c_1010_5^8 - 147/68*c_1010_5^7 - 123/34*c_1010_5^6 + 26/17*c_1010_5^5 + 343/34*c_1010_5^4 + 54/17*c_1010_5^3 - 945/68*c_1010_5^2 - 649/68*c_1010_5 + 67/17, c_0011_7 + 2/17*c_1010_5^8 + 9/17*c_1010_5^7 + 27/34*c_1010_5^6 - 11/34*c_1010_5^5 - 67/34*c_1010_5^4 - 15/34*c_1010_5^3 + 123/34*c_1010_5^2 + 93/34*c_1010_5 - 23/17, c_0101_0 - 2/17*c_1010_5^8 - 9/17*c_1010_5^7 - 27/34*c_1010_5^6 + 11/34*c_1010_5^5 + 67/34*c_1010_5^4 + 15/34*c_1010_5^3 - 123/34*c_1010_5^2 - 93/34*c_1010_5 + 23/17, c_0101_1 - 33/68*c_1010_5^8 - 87/34*c_1010_5^7 - 139/34*c_1010_5^6 + 73/34*c_1010_5^5 + 203/17*c_1010_5^4 + 66/17*c_1010_5^3 - 1087/68*c_1010_5^2 - 373/34*c_1010_5 + 80/17, c_0101_11 - 27/68*c_1010_5^8 - 147/68*c_1010_5^7 - 123/34*c_1010_5^6 + 26/17*c_1010_5^5 + 343/34*c_1010_5^4 + 54/17*c_1010_5^3 - 945/68*c_1010_5^2 - 649/68*c_1010_5 + 67/17, c_0101_7 - 9/68*c_1010_5^8 - 33/34*c_1010_5^7 - 75/34*c_1010_5^6 - 11/34*c_1010_5^5 + 94/17*c_1010_5^4 + 69/17*c_1010_5^3 - 519/68*c_1010_5^2 - 281/34*c_1010_5 + 45/17, c_0101_8 - 9/68*c_1010_5^8 - 33/34*c_1010_5^7 - 75/34*c_1010_5^6 - 11/34*c_1010_5^5 + 94/17*c_1010_5^4 + 69/17*c_1010_5^3 - 519/68*c_1010_5^2 - 281/34*c_1010_5 + 45/17, c_0110_11 - 19/68*c_1010_5^8 - 111/68*c_1010_5^7 - 48/17*c_1010_5^6 + 41/34*c_1010_5^5 + 138/17*c_1010_5^4 + 93/34*c_1010_5^3 - 767/68*c_1010_5^2 - 531/68*c_1010_5 + 61/17, c_0110_4 - 19/68*c_1010_5^8 - 111/68*c_1010_5^7 - 48/17*c_1010_5^6 + 41/34*c_1010_5^5 + 138/17*c_1010_5^4 + 93/34*c_1010_5^3 - 767/68*c_1010_5^2 - 531/68*c_1010_5 + 61/17, c_1010_5^9 + 7*c_1010_5^8 + 18*c_1010_5^7 + 12*c_1010_5^6 - 30*c_1010_5^5 - 52*c_1010_5^4 + 15*c_1010_5^3 + 81*c_1010_5^2 + 36*c_1010_5 - 16 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_5, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0101_8, c_0110_11, c_0110_4, c_1010_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 237660175572649/1217458743048236*c_1010_5^13 + 130004397977988721/67568960239177098*c_1010_5^12 - 547245193795475333/67568960239177098*c_1010_5^11 + 406071344737817155/22522986746392366*c_1010_5^10 - 3146216692670457251/135137920478354196*c_1010_5^9 + 2595840330532111711/135137920478354196*c_1010_5^8 - 1626976261230457907/67568960239177098*c_1010_5^7 + 184471513917697801/5197612326090546*c_1010_5^6 - 4754848273533190175/135137920478354196*c_1010_5^5 + 160075047783377016/11261493373196183*c_1010_5^4 - 200485301380809841/5197612326090546*c_1010_5^3 + 1487836944396835837/135137920478354196*c_1010_5^2 - 134256189194064853/22522986746392366*c_1010_5 + 1041094531525879231/135137920478354196, c_0011_0 - 1, c_0011_10 - 1012402129190/4286826560029*c_1010_5^13 + 9845924933745/4286826560029*c_1010_5^12 - 40754616785791/4286826560029*c_1010_5^11 + 88276654202941/4286826560029*c_1010_5^10 - 108074560663410/4286826560029*c_1010_5^9 + 77739189360275/4286826560029*c_1010_5^8 - 94850378385001/4286826560029*c_1010_5^7 + 11171152929143/329755889233*c_1010_5^6 - 143297861252197/4286826560029*c_1010_5^5 + 22850840490102/4286826560029*c_1010_5^4 - 10789724905776/329755889233*c_1010_5^3 - 18492719806018/4286826560029*c_1010_5^2 - 31850155864804/4286826560029*c_1010_5 + 2684859008956/4286826560029, c_0011_5 - 241310505898/4286826560029*c_1010_5^13 + 2278058440302/4286826560029*c_1010_5^12 - 8938321095260/4286826560029*c_1010_5^11 + 17310944199762/4286826560029*c_1010_5^10 - 16328532647758/4286826560029*c_1010_5^9 + 6040513767303/4286826560029*c_1010_5^8 - 16715988587217/4286826560029*c_1010_5^7 + 2747982721824/329755889233*c_1010_5^6 - 25998061317986/4286826560029*c_1010_5^5 - 13668786705754/4286826560029*c_1010_5^4 - 2241681407200/329755889233*c_1010_5^3 + 3860831219070/4286826560029*c_1010_5^2 - 3681500292621/4286826560029*c_1010_5 + 4549886893657/4286826560029, c_0011_7 - 960759037658/4286826560029*c_1010_5^13 + 10033664476822/4286826560029*c_1010_5^12 - 45619955372508/4286826560029*c_1010_5^11 + 113751463119048/4286826560029*c_1010_5^10 - 171274400513186/4286826560029*c_1010_5^9 + 163461639064597/4286826560029*c_1010_5^8 - 156258463005725/4286826560029*c_1010_5^7 + 15593902202385/329755889233*c_1010_5^6 - 241667178297447/4286826560029*c_1010_5^5 + 141298616040325/4286826560029*c_1010_5^4 - 12432940058811/329755889233*c_1010_5^3 + 57094441104029/4286826560029*c_1010_5^2 - 33980351572959/4286826560029*c_1010_5 + 8613937099477/4286826560029, c_0101_0 - 1044696560338/4286826560029*c_1010_5^13 + 10609827664624/4286826560029*c_1010_5^12 - 46821459522674/4286826560029*c_1010_5^11 + 113062181537286/4286826560029*c_1010_5^10 - 166850281028182/4286826560029*c_1010_5^9 + 162935738147411/4286826560029*c_1010_5^8 - 172610098138934/4286826560029*c_1010_5^7 + 16518336371352/329755889233*c_1010_5^6 - 237265632243201/4286826560029*c_1010_5^5 + 134838794143815/4286826560029*c_1010_5^4 - 15426694268453/329755889233*c_1010_5^3 + 37268184667755/4286826560029*c_1010_5^2 - 60107654227302/4286826560029*c_1010_5 + 7755925303598/4286826560029, c_0101_1 - 522202804434/4286826560029*c_1010_5^13 + 5200478704704/4286826560029*c_1010_5^12 - 22160740058071/4286826560029*c_1010_5^11 + 49938400556879/4286826560029*c_1010_5^10 - 63993785389054/4286826560029*c_1010_5^9 + 46946626219112/4286826560029*c_1010_5^8 - 48901106725919/4286826560029*c_1010_5^7 + 5981594672892/329755889233*c_1010_5^6 - 83531995411142/4286826560029*c_1010_5^5 + 17169691031502/4286826560029*c_1010_5^4 - 4598403239368/329755889233*c_1010_5^3 - 688095197778/4286826560029*c_1010_5^2 - 6614660317184/4286826560029*c_1010_5 - 478714539071/4286826560029, c_0101_11 + 55574832/190027331*c_1010_5^13 - 537434433/190027331*c_1010_5^12 + 2202798789/190027331*c_1010_5^11 - 4680508817/190027331*c_1010_5^10 + 5514565952/190027331*c_1010_5^9 - 3713803942/190027331*c_1010_5^8 + 4945536902/190027331*c_1010_5^7 - 617010313/14617487*c_1010_5^6 + 7504584537/190027331*c_1010_5^5 - 407023972/190027331*c_1010_5^4 + 577658864/14617487*c_1010_5^3 + 648605372/190027331*c_1010_5^2 + 1385027244/190027331*c_1010_5 - 130675976/190027331, c_0101_7 - 1228330695121/4286826560029*c_1010_5^13 + 12360251109314/4286826560029*c_1010_5^12 - 53794998642306/4286826560029*c_1010_5^11 + 126943562878908/4286826560029*c_1010_5^10 - 180613110458433/4286826560029*c_1010_5^9 + 168181353631682/4286826560029*c_1010_5^8 - 183493673708545/4286826560029*c_1010_5^7 + 18389038519065/329755889233*c_1010_5^6 - 256348611319400/4286826560029*c_1010_5^5 + 125305904651396/4286826560029*c_1010_5^4 - 17060567763562/329755889233*c_1010_5^3 + 40808257320776/4286826560029*c_1010_5^2 - 59877392956216/4286826560029*c_1010_5 + 9507732454565/4286826560029, c_0101_8 + 1491116668261/4286826560029*c_1010_5^13 - 15155273128889/4286826560029*c_1010_5^12 + 66539820670548/4286826560029*c_1010_5^11 - 157830133629041/4286826560029*c_1010_5^10 + 222160709455803/4286826560029*c_1010_5^9 - 196306432203423/4286826560029*c_1010_5^8 + 202115036527059/4286826560029*c_1010_5^7 - 21524307484499/329755889233*c_1010_5^6 + 312014354423283/4286826560029*c_1010_5^5 - 141328997253427/4286826560029*c_1010_5^4 + 17928693229216/329755889233*c_1010_5^3 - 54211814860683/4286826560029*c_1010_5^2 + 48395784073582/4286826560029*c_1010_5 - 9799838156821/4286826560029, c_0110_11 - 1343404005548/4286826560029*c_1010_5^13 + 13483157251351/4286826560029*c_1010_5^12 - 58005167814852/4286826560029*c_1010_5^11 + 132496809803675/4286826560029*c_1010_5^10 - 173299565623320/4286826560029*c_1010_5^9 + 132510505676603/4286826560029*c_1010_5^8 - 138921873253888/4286826560029*c_1010_5^7 + 16985960135539/329755889233*c_1010_5^6 - 241122591904523/4286826560029*c_1010_5^5 + 65269307187268/4286826560029*c_1010_5^4 - 12671891354786/329755889233*c_1010_5^3 + 29375669365985/4286826560029*c_1010_5^2 - 28530515139797/4286826560029*c_1010_5 + 7791617934868/4286826560029, c_0110_4 + 1003129339526/4286826560029*c_1010_5^13 - 9601636919049/4286826560029*c_1010_5^12 + 39030702449887/4286826560029*c_1010_5^11 - 82899983757988/4286826560029*c_1010_5^10 + 101551702601880/4286826560029*c_1010_5^9 - 81635352022492/4286826560029*c_1010_5^8 + 115254596764815/4286826560029*c_1010_5^7 - 12237589266170/329755889233*c_1010_5^6 + 139735882624172/4286826560029*c_1010_5^5 - 28605053840735/4286826560029*c_1010_5^4 + 13819930847452/329755889233*c_1010_5^3 + 11543408488805/4286826560029*c_1010_5^2 + 44080520316098/4286826560029*c_1010_5 - 6517220673552/4286826560029, c_1010_5^14 - 10*c_1010_5^13 + 43*c_1010_5^12 - 99*c_1010_5^11 + 134*c_1010_5^10 - 114*c_1010_5^9 + 126*c_1010_5^8 - 179*c_1010_5^7 + 190*c_1010_5^6 - 73*c_1010_5^5 + 158*c_1010_5^4 - 27*c_1010_5^3 + 36*c_1010_5^2 - 10*c_1010_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.490 seconds, Total memory usage: 32.09MB