Magma V2.19-8 Tue Aug 20 2013 23:57:25 on localhost [Seed = 1629948344] Type ? for help. Type -D to quit. Loading file "L14n32709__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32709 geometric_solution 10.85230083 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 1 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 1 -1 0 0 1 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.051557436084 0.790998900306 0 5 7 6 0132 0132 0132 0132 1 0 1 1 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 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393581887257 0.714298302897 8 0 10 9 0132 0132 0132 0132 1 0 1 1 0 0 0 0 -1 0 1 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.395099731178 0.706780180429 11 6 10 0 0132 0132 3120 0132 1 0 1 1 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 0 -1 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 -0.274369922399 1.423197558375 5 8 0 6 0132 0132 0132 2103 1 0 1 1 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 -1 1 0 -1 0 1 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 0.301050933117 0.816669082598 4 1 7 9 0132 0132 3120 3120 1 0 1 1 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 1 0 0 -1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.316609352838 1.193725711807 10 3 1 4 0132 0132 0132 2103 1 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 0 0 0 0 -1 0 1 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 0.055399496156 0.639449230188 8 9 5 1 2103 3120 3120 0132 1 0 1 1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.274369922399 1.423197558375 2 4 7 11 0132 0132 2103 0132 1 0 1 1 0 0 0 0 1 0 0 -1 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 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 0.948442563916 0.790998900306 5 7 2 11 3120 3120 0132 2103 1 0 1 1 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 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 0.134476409068 1.552195276551 6 11 3 2 0132 0132 3120 0132 1 0 1 1 0 0 0 0 0 0 1 -1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.316609352838 1.193725711807 3 10 8 9 0132 0132 0132 2103 1 0 1 1 0 0 0 0 -1 0 1 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 -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 0.309291238730 0.813584036499 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0011_7'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_11'], 'c_1001_7' : negation(d['c_1001_0']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : d['c_1001_11'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_7'], 'c_1010_11' : d['c_0011_7'], 'c_1010_10' : d['c_1001_11'], 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_0'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : negation(d['c_0101_10']), 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : negation(d['c_0101_5']), 'c_1100_1' : negation(d['c_0101_5']), 'c_1100_0' : negation(d['c_0101_10']), 'c_1100_3' : negation(d['c_0101_10']), 'c_1100_2' : negation(d['c_0101_3']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_1']), 'c_1100_10' : negation(d['c_0101_3']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_11'], 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : d['c_1001_11'], 'c_1100_8' : negation(d['c_0101_1']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : 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' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_7'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_10']})} 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_7, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_0101_7, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 41342193229/7929488*c_1001_11^13 - 152935891287/25770836*c_1001_11^12 + 551558318161/103083344*c_1001_11^11 - 95986113889/7363096*c_1001_11^10 + 1881550904637/103083344*c_1001_11^9 - 174745261387/103083344*c_1001_11^8 + 2174608021597/103083344*c_1001_11^7 - 3673412211725/103083344*c_1001_11^6 - 571000262997/103083344*c_1001_11^5 - 2090973130013/103083344*c_1001_11^4 + 93407045761/7363096*c_1001_11^3 - 751798289505/103083344*c_1001_11^\ 2 + 109479617587/25770836*c_1001_11 - 689942076921/103083344, c_0011_0 - 1, c_0011_10 + 2792187/3964744*c_1001_11^13 - 21787387/12885418*c_1001_11^12 + 9186847/3964744*c_1001_11^11 - 81383919/25770836*c_1001_11^10 + 31345409/7363096*c_1001_11^9 - 141967981/51541672*c_1001_11^8 + 118622391/51541672*c_1001_11^7 - 232445347/51541672*c_1001_11^6 + 127626561/51541672*c_1001_11^5 - 15162549/7363096*c_1001_11^4 + 1200515/1982372*c_1001_11^3 + 10855833/51541672*c_1001_11^2 - 1736755/12885418*c_1001_11 - 972679/3964744, c_0011_7 - 22795/3964744*c_1001_11^13 + 3739923/12885418*c_1001_11^12 - 44478131/51541672*c_1001_11^11 + 4486999/3681548*c_1001_11^10 - 72681743/51541672*c_1001_11^9 + 100190725/51541672*c_1001_11^8 - 72579015/51541672*c_1001_11^7 + 29768611/51541672*c_1001_11^6 - 7803693/3964744*c_1001_11^5 + 9094959/3964744*c_1001_11^4 - 2127641/3681548*c_1001_11^3 + 13218007/51541672*c_1001_11^2 - 2547711/12885418*c_1001_11 - 2115285/3964744, c_0011_9 + 1486421/3964744*c_1001_11^13 - 6841799/12885418*c_1001_11^12 + 70924485/51541672*c_1001_11^11 - 78955815/25770836*c_1001_11^10 + 29889363/7363096*c_1001_11^9 - 220384207/51541672*c_1001_11^8 + 364007237/51541672*c_1001_11^7 - 328339033/51541672*c_1001_11^6 + 13287247/3964744*c_1001_11^5 - 4767411/566392*c_1001_11^4 + 113499819/25770836*c_1001_11^3 - 127252053/51541672*c_1001_11^2 + 18767830/6442709*c_1001_11 - 3141265/3964744, c_0101_0 - 1, c_0101_1 - 3627703/3964744*c_1001_11^13 + 10797210/6442709*c_1001_11^12 - 70239219/51541672*c_1001_11^11 + 7854615/3681548*c_1001_11^10 - 164350623/51541672*c_1001_11^9 + 7305229/51541672*c_1001_11^8 - 1812859/3964744*c_1001_11^7 + 19596975/3964744*c_1001_11^6 + 34654031/51541672*c_1001_11^5 - 42335717/51541672*c_1001_11^4 - 1528967/3681548*c_1001_11^3 - 81308485/51541672*c_1001_11^2 + 2596103/12885418*c_1001_11 - 1354421/3964744, c_0101_10 + 199355/1982372*c_1001_11^13 + 574913/991186*c_1001_11^12 - 41074871/25770836*c_1001_11^11 + 11023842/6442709*c_1001_11^10 - 59939483/25770836*c_1001_11^9 + 101067509/25770836*c_1001_11^8 - 44930699/25770836*c_1001_11^7 + 18448763/25770836*c_1001_11^6 - 128227913/25770836*c_1001_11^5 + 45234667/25770836*c_1001_11^4 + 4297948/6442709*c_1001_11^3 + 27574877/25770836*c_1001_11^2 + 48079/6442709*c_1001_11 - 300417/283196, c_0101_3 + 1651849/3964744*c_1001_11^13 - 4523980/6442709*c_1001_11^12 + 14195417/51541672*c_1001_11^11 - 2038373/3681548*c_1001_11^10 + 61655077/51541672*c_1001_11^9 + 31153481/51541672*c_1001_11^8 - 34405219/51541672*c_1001_11^7 - 109521473/51541672*c_1001_11^6 - 79663845/51541672*c_1001_11^5 + 127812215/51541672*c_1001_11^4 + 2004251/3681548*c_1001_11^3 + 47129343/51541672*c_1001_11^2 - 13484305/12885418*c_1001_11 - 421249/3964744, c_0101_5 - 1885131/3964744*c_1001_11^13 - 316035/6442709*c_1001_11^12 + 11225257/51541672*c_1001_11^11 + 34860447/25770836*c_1001_11^10 - 89346575/51541672*c_1001_11^9 + 2607027/7363096*c_1001_11^8 - 274145839/51541672*c_1001_11^7 + 41634501/7363096*c_1001_11^6 + 83721615/51541672*c_1001_11^5 + 343365067/51541672*c_1001_11^4 - 130691611/25770836*c_1001_11^3 + 72102299/51541672*c_1001_11^2 - 3608374/920387*c_1001_11 + 7347103/3964744, c_0101_7 + 95108/495593*c_1001_11^13 + 535427/991186*c_1001_11^12 - 13099097/12885418*c_1001_11^11 - 10476/77623*c_1001_11^10 + 859340/6442709*c_1001_11^9 + 1093470/920387*c_1001_11^8 + 16936735/6442709*c_1001_11^7 - 2641503/920387*c_1001_11^6 - 22797960/6442709*c_1001_11^5 - 20817075/6442709*c_1001_11^4 + 26823941/6442709*c_1001_11^3 - 10274647/12885418*c_1001_11^2 + 4055289/1840774*c_1001_11 - 380739/495593, c_1001_0 - 1953059/3964744*c_1001_11^13 + 8806537/12885418*c_1001_11^12 - 889667/3964744*c_1001_11^11 + 1329243/3681548*c_1001_11^10 - 30013803/51541672*c_1001_11^9 - 61732015/51541672*c_1001_11^8 + 14606629/51541672*c_1001_11^7 + 115470591/51541672*c_1001_11^6 + 56438195/51541672*c_1001_11^5 - 32757969/51541672*c_1001_11^4 + 200225/283196*c_1001_11^3 - 47397149/51541672*c_1001_11^2 - 8340491/12885418*c_1001_11 + 339615/3964744, c_1001_11^14 - 25/13*c_1001_11^13 + 25/13*c_1001_11^12 - 43/13*c_1001_11^11 + 71/13*c_1001_11^10 - 40/13*c_1001_11^9 + 56/13*c_1001_11^8 - 10*c_1001_11^7 + 56/13*c_1001_11^6 - 40/13*c_1001_11^5 + 71/13*c_1001_11^4 - 43/13*c_1001_11^3 + 25/13*c_1001_11^2 - 25/13*c_1001_11 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.260 seconds, Total memory usage: 32.09MB