Magma V2.19-8 Tue Aug 20 2013 16:14:50 on localhost [Seed = 1360055612] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s808 geometric_solution 5.36401002 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0.406137762451 0.303181172859 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 1 -1 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 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 1.012739602756 0.877124278072 1 4 5 3 0132 0132 0132 2310 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 -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 0.245066135288 0.888313581277 2 5 4 1 3201 0132 1023 0132 0 0 0 0 0 1 0 -1 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 1 0 -1 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.245066135288 0.888313581277 4 2 3 4 3201 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.788106110732 0.820591131201 5 3 5 2 2310 0132 3201 0132 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 -1 0 1 -1 0 0 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.288598837177 1.046110537889 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : 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_1_5' : 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_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_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_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : 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_0'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], '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_0101_0'], 'c_0110_4' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 17892018380/2593271*c_0101_4^19 - 10841445419/2593271*c_0101_4^18 - 261805826175/2593271*c_0101_4^17 + 337553474873/2593271*c_0101_4^16 + 1906646210856/2593271*c_0101_4^15 - 2908607335842/2593271*c_0101_4^14 - 9616355615857/2593271*c_0101_4^13 + 7078361466390/2593271*c_0101_4^12 + 22116933296256/2593271*c_0101_4^11 - 11054845185057/2593271*c_0101_4^10 - 29096959489698/2593271*c_0101_4^9 + 11256805920676/2593271*c_0101_4^8 + 23228568901281/2593271*c_0101_4^7 - 5911617402404/2593271*c_0101_4^6 - 10168686336513/2593271*c_0101_4^5 + 1596475233637/2593271*c_0101_4^4 + 2123395500137/2593271*c_0101_4^3 - 283955806147/2593271*c_0101_4^2 - 166553808427/2593271*c_0101_4 + 29279272273/2593271, c_0011_0 - 1, c_0011_1 + 169674676/2593271*c_0101_4^19 - 124631852/2593271*c_0101_4^18 - 2455528046/2593271*c_0101_4^17 + 3503492335/2593271*c_0101_4^16 + 17474718410/2593271*c_0101_4^15 - 29527316716/2593271*c_0101_4^14 - 86384265172/2593271*c_0101_4^13 + 75823439109/2593271*c_0101_4^12 + 195407093232/2593271*c_0101_4^11 - 122895073823/2593271*c_0101_4^10 - 250556693720/2593271*c_0101_4^9 + 126584080578/2593271*c_0101_4^8 + 193348371499/2593271*c_0101_4^7 - 67874836039/2593271*c_0101_4^6 - 81181484512/2593271*c_0101_4^5 + 18298225449/2593271*c_0101_4^4 + 15956464546/2593271*c_0101_4^3 - 2791085160/2593271*c_0101_4^2 - 1138061449/2593271*c_0101_4 + 218547430/2593271, c_0011_3 - 2316453877/2593271*c_0101_4^19 + 1449843673/2593271*c_0101_4^18 + 33838286157/2593271*c_0101_4^17 - 44343444094/2593271*c_0101_4^16 - 245570497659/2593271*c_0101_4^15 + 380698409642/2593271*c_0101_4^14 + 1234854553782/2593271*c_0101_4^13 - 934889082330/2593271*c_0101_4^12 - 2833232022462/2593271*c_0101_4^11 + 1469518731329/2593271*c_0101_4^10 + 3713733946148/2593271*c_0101_4^9 - 1499293013806/2593271*c_0101_4^8 - 2950873692921/2593271*c_0101_4^7 + 790216618778/2593271*c_0101_4^6 + 1284794888884/2593271*c_0101_4^5 - 213332413947/2593271*c_0101_4^4 - 266319902092/2593271*c_0101_4^3 + 37014958389/2593271*c_0101_4^2 + 20658351771/2593271*c_0101_4 - 3681807059/2593271, c_0101_0 + 1340549257/2593271*c_0101_4^19 - 806329649/2593271*c_0101_4^18 - 19627997409/2593271*c_0101_4^17 + 25214253983/2593271*c_0101_4^16 + 143087588596/2593271*c_0101_4^15 - 217526441872/2593271*c_0101_4^14 - 722247435252/2593271*c_0101_4^13 + 529003824906/2593271*c_0101_4^12 + 1662954320278/2593271*c_0101_4^11 - 826292658043/2593271*c_0101_4^10 - 2190903538930/2593271*c_0101_4^9 + 842975462353/2593271*c_0101_4^8 + 1751858910513/2593271*c_0101_4^7 - 444611926467/2593271*c_0101_4^6 - 768431747110/2593271*c_0101_4^5 + 121142041616/2593271*c_0101_4^4 + 160905311906/2593271*c_0101_4^3 - 21764934570/2593271*c_0101_4^2 - 12662213144/2593271*c_0101_4 + 2249962749/2593271, c_0101_1 - 574551847/2593271*c_0101_4^19 + 404877171/2593271*c_0101_4^18 + 8338032386/2593271*c_0101_4^17 - 11628022810/2593271*c_0101_4^16 - 59672587471/2593271*c_0101_4^15 + 98503950067/2593271*c_0101_4^14 + 296438341341/2593271*c_0101_4^13 - 250272705459/2593271*c_0101_4^12 - 673589259822/2593271*c_0101_4^11 + 402915874633/2593271*c_0101_4^10 + 869657445037/2593271*c_0101_4^9 - 414560293785/2593271*c_0101_4^8 - 677270889753/2593271*c_0101_4^7 + 221926876022/2593271*c_0101_4^6 + 287778330360/2593271*c_0101_4^5 - 60086124863/2593271*c_0101_4^4 - 57609570117/2593271*c_0101_4^3 + 9478202139/2593271*c_0101_4^2 + 4226774843/2593271*c_0101_4 - 790506006/2593271, c_0101_4^20 - 15*c_0101_4^18 + 10*c_0101_4^17 + 118*c_0101_4^16 - 98*c_0101_4^15 - 636*c_0101_4^14 + 70*c_0101_4^13 + 1476*c_0101_4^12 + 131*c_0101_4^11 - 2001*c_0101_4^10 - 356*c_0101_4^9 + 1680*c_0101_4^8 + 456*c_0101_4^7 - 769*c_0101_4^6 - 255*c_0101_4^5 + 173*c_0101_4^4 + 56*c_0101_4^3 - 19*c_0101_4^2 - 4*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB