Magma V2.19-8 Wed Aug 21 2013 01:02:20 on localhost [Seed = 1932880061] Type ? for help. Type -D to quit. Loading file "L14n14269__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n14269 geometric_solution 11.75832240 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 1 0 -1 0 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 -1 1 -1 0 9 -8 -1 1 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.339686273537 0.780032678126 0 5 7 6 0132 0132 0132 0132 0 1 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 -9 0 0 9 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.632202708910 0.746824959692 4 0 6 8 1023 0132 2031 0132 0 0 1 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 0 1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.071083346816 1.225525704636 7 9 5 0 0132 0132 0132 0132 0 1 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 -1 0 1 0 0 9 -9 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.632202708910 0.746824959692 5 2 0 10 0132 1023 0132 0132 0 1 1 1 0 0 1 -1 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 8 -8 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.120361724107 1.143833579715 4 1 9 3 0132 0132 1302 0132 0 1 1 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 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.339686273537 0.780032678126 7 11 1 2 2103 0132 0132 1302 0 1 0 1 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 0 0 0 0 0 1 -1 0 0 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.047169838164 0.813240396561 3 8 6 1 0132 1023 2103 0132 0 1 1 1 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 -1 0 1 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.909012787874 0.864678778292 7 10 2 12 1023 2031 0132 0132 0 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 0 0 0 0 0 -1 1 1 -1 0 0 -9 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.995638575880 0.918845479270 5 3 10 12 2031 0132 2031 1230 0 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 0 -1 0 0 0 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.220993578521 0.486361031915 8 11 4 9 1302 3012 0132 1302 0 1 0 1 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 0 -8 0 8 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 0.540673562715 0.989264563508 10 6 12 12 1230 0132 0132 2031 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.908174260533 0.663799141420 9 11 8 11 3012 1302 0132 0132 0 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 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 0.415716441458 0.143217934068 ==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' : negation(d['c_0011_11']), 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_0011_12'], 'c_1001_4' : d['c_0101_2'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_0011_12'], 'c_1001_1' : d['c_0101_12'], 'c_1001_0' : negation(d['c_0110_10']), 'c_1001_3' : d['c_0101_12'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : negation(d['c_0110_10']), 'c_1001_8' : negation(d['c_0110_10']), 'c_1010_12' : d['c_1001_11'], 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : negation(d['c_0101_11']), 's_3_11' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_3'], '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_12' : 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' : negation(d['1']), 's_0_5' : negation(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' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_9'], 'c_1100_4' : d['c_0101_9'], 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : d['c_0101_2'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0101_9'], 'c_1100_3' : d['c_0101_9'], 'c_1100_2' : negation(d['c_1001_11']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_1001_11']), 'c_1100_10' : d['c_0101_9'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_12'], 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_0101_12'], 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : negation(d['c_0110_10']), 'c_1010_2' : negation(d['c_0110_10']), 'c_1010_1' : d['c_0011_12'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : negation(d['c_1001_11']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1001_11']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_12'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_2'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_9, c_0110_10, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 4679970351243499/3310287886271555*c_1001_11^5 + 7945361431951152/878239643296535*c_1001_11^4 - 139534665445321138/8606748504306043*c_1001_11^3 + 123471997582513837/6147677503075745*c_1001_11^2 - 105939706406569970/1229535500615149*c_1001_11 + 6672290710979217/211988879416405, c_0011_0 - 1, c_0011_10 - 304931772197/3261367375637*c_1001_11^5 + 1963610783453/3261367375637*c_1001_11^4 - 3604135631465/3261367375637*c_1001_11^3 + 554172854263/465909625091*c_1001_11^2 - 2541296971258/465909625091*c_1001_11 + 1180648485769/465909625091, c_0011_11 + 557392461236/3261367375637*c_1001_11^5 - 3491562630601/3261367375637*c_1001_11^4 + 5647493033438/3261367375637*c_1001_11^3 - 896406109710/465909625091*c_1001_11^2 + 4551924482336/465909625091*c_1001_11 - 1078622123568/465909625091, c_0011_12 - 696662139420/3261367375637*c_1001_11^5 + 4422014287436/3261367375637*c_1001_11^4 - 7926220868567/3261367375637*c_1001_11^3 + 1412651618526/465909625091*c_1001_11^2 - 5849106615257/465909625091*c_1001_11 + 1841753812955/465909625091, c_0011_3 - 23370598130438/94579653893473*c_1001_11^5 + 148962848995889/94579653893473*c_1001_11^4 - 259715977704056/94579653893473*c_1001_11^3 + 43172258073911/13511379127639*c_1001_11^2 - 195181083719800/13511379127639*c_1001_11 + 57573009029015/13511379127639, c_0101_0 - 23370598130438/94579653893473*c_1001_11^5 + 148962848995889/94579653893473*c_1001_11^4 - 259715977704056/94579653893473*c_1001_11^3 + 43172258073911/13511379127639*c_1001_11^2 - 195181083719800/13511379127639*c_1001_11 + 71084388156654/13511379127639, c_0101_1 + 13379238931292/94579653893473*c_1001_11^5 - 84455045835675/94579653893473*c_1001_11^4 + 146894632929566/94579653893473*c_1001_11^3 - 24226845622470/13511379127639*c_1001_11^2 + 108400548134861/13511379127639*c_1001_11 - 31960361710569/13511379127639, c_0101_11 - 156042423043/3261367375637*c_1001_11^5 + 145267717537/465909625091*c_1001_11^4 - 256459369148/465909625091*c_1001_11^3 + 187898381718/465909625091*c_1001_11^2 - 642688798110/465909625091*c_1001_11 + 7586254130/465909625091, c_0101_12 + 47288866989/465909625091*c_1001_11^5 - 2001022932268/3261367375637*c_1001_11^4 + 3214343331085/3261367375637*c_1001_11^3 - 499534353018/465909625091*c_1001_11^2 + 2524385640503/465909625091*c_1001_11 - 339504815803/465909625091, c_0101_2 - 345865423761/3261367375637*c_1001_11^5 + 2270438358390/3261367375637*c_1001_11^4 - 4172691725023/3261367375637*c_1001_11^3 + 727590027165/465909625091*c_1001_11^2 - 3211808007131/465909625091*c_1001_11 + 1274295084387/465909625091, c_0101_9 - 676887492684/3261367375637*c_1001_11^5 + 4271461290658/3261367375637*c_1001_11^4 - 7387035056108/3261367375637*c_1001_11^3 + 1227124380183/465909625091*c_1001_11^2 - 5736193647634/465909625091*c_1001_11 + 1613799900190/465909625091, c_0110_10 + 1, c_1001_11^6 - 1148/169*c_1001_11^5 + 2352/169*c_1001_11^4 - 3052/169*c_1001_11^3 + 10878/169*c_1001_11^2 - 7399/169*c_1001_11 + 1421/169 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.390 seconds, Total memory usage: 32.09MB