Magma V2.19-8 Tue Aug 20 2013 16:17:57 on localhost [Seed = 223121864] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2178 geometric_solution 5.64258770 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 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 0.426796631364 0.288863981539 2 0 3 0 0132 2310 0132 0132 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 1 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.966274814966 0.798735465012 1 4 3 5 0132 0132 3012 0132 0 0 0 0 0 0 -1 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 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 1.179583059332 0.977113419003 5 2 4 1 1023 1230 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 -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 0 0 0 1 0 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 1.179583059332 0.977113419003 6 2 3 6 0132 0132 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.299359438620 0.315944504110 5 3 2 5 3012 1023 0132 1230 0 0 0 0 0 0 -1 1 -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 0 0 0 0 -1 0 1 -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 0 0 0 1.079097140473 0.721086280729 4 6 6 4 0132 3201 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.327627225659 1.007583915390 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_1']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_3']), '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_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 8865145481945288/58950927348013*c_0101_6^19 - 51617208590516496/58950927348013*c_0101_6^17 - 26785616098205484/58950927348013*c_0101_6^15 - 49686951047435633/58950927348013*c_0101_6^13 - 133357021281820996/58950927348013*c_0101_6^11 + 1713207796958979727/58950927348013*c_0101_6^9 - 4263196157583556969/58950927348013*c_0101_6^7 + 5983394750598798742/58950927348013*c_0101_6^5 - 1911638478579673140/58950927348013*c_0101_6^3 + 124154347031091802/58950927348013*c_0101_6, c_0011_0 - 1, c_0011_1 - 32184706057/1437827496293*c_0101_6^18 + 190904795349/1437827496293*c_0101_6^16 + 76801421680/1437827496293*c_0101_6^14 + 159720177953/1437827496293*c_0101_6^12 + 510928820449/1437827496293*c_0101_6^10 - 6178592324665/1437827496293*c_0101_6^8 + 16273827959777/1437827496293*c_0101_6^6 - 23002853373148/1437827496293*c_0101_6^4 + 7377068008993/1437827496293*c_0101_6^2 + 259380057360/1437827496293, c_0011_3 - 49467896805/1437827496293*c_0101_6^19 + 257821604841/1437827496293*c_0101_6^17 + 325531163446/1437827496293*c_0101_6^15 + 376979219442/1437827496293*c_0101_6^13 + 869990610586/1437827496293*c_0101_6^11 - 9222584687917/1437827496293*c_0101_6^9 + 17886789983041/1437827496293*c_0101_6^7 - 18864659143424/1437827496293*c_0101_6^5 - 8012222680572/1437827496293*c_0101_6^3 + 3813024045605/1437827496293*c_0101_6, c_0101_0 + 187160292153/1437827496293*c_0101_6^18 - 1080440843128/1437827496293*c_0101_6^16 - 615664241023/1437827496293*c_0101_6^14 - 1101814535589/1437827496293*c_0101_6^12 - 2883771749778/1437827496293*c_0101_6^10 + 36070546109108/1437827496293*c_0101_6^8 - 88072586136213/1437827496293*c_0101_6^6 + 122627311878152/1437827496293*c_0101_6^4 - 36223051070602/1437827496293*c_0101_6^2 + 2096778049985/1437827496293, c_0101_1 - 71170482046/1437827496293*c_0101_6^18 + 417500165185/1437827496293*c_0101_6^16 + 206441157097/1437827496293*c_0101_6^14 + 337160233269/1437827496293*c_0101_6^12 + 984051906312/1437827496293*c_0101_6^10 - 13767769196199/1437827496293*c_0101_6^8 + 34905834594543/1437827496293*c_0101_6^6 - 47339481999370/1437827496293*c_0101_6^4 + 14853974907116/1437827496293*c_0101_6^2 - 1227915335738/1437827496293, c_0101_3 - 235059990161/1437827496293*c_0101_6^19 + 1381672292697/1437827496293*c_0101_6^17 + 628441172722/1437827496293*c_0101_6^15 + 1320138174021/1437827496293*c_0101_6^13 + 3466864648153/1437827496293*c_0101_6^11 - 45773146733956/1437827496293*c_0101_6^9 + 115365898255050/1437827496293*c_0101_6^7 - 166675920652848/1437827496293*c_0101_6^5 + 63340088509728/1437827496293*c_0101_6^3 - 5507031790977/1437827496293*c_0101_6, c_0101_6^20 - 6*c_0101_6^18 - 2*c_0101_6^16 - 5*c_0101_6^14 - 14*c_0101_6^12 + 196*c_0101_6^10 - 515*c_0101_6^8 + 758*c_0101_6^6 - 330*c_0101_6^4 + 45*c_0101_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB