Magma V2.19-8 Wed Aug 21 2013 01:05:22 on localhost [Seed = 2834214947] Type ? for help. Type -D to quit. Loading file "L14n25792__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25792 geometric_solution 12.41569500 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1230 0132 0132 1 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 -1 0 1 1 0 -1 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 0.718606432118 1.053008943759 0 4 0 5 0132 0132 3012 0132 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 0 0 0 0 0 0 0 0 0 0 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 0.557841345792 0.647916573846 6 7 8 0 0132 0132 0132 0132 1 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 -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 0.783353711595 0.487260672891 9 7 0 10 0132 0321 0132 0132 1 1 1 0 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 -1 1 0 0 0 0 0 0 0 0 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.256036659396 0.882405958565 11 1 10 8 0132 0132 3012 2031 1 1 0 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 0 0 0 0 -2 -1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.573810275751 0.524442128069 6 12 1 9 2103 0132 0132 0132 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.613075412128 0.635373374960 2 10 5 12 0132 2310 2103 0132 1 1 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 -1 1 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 0.767472754221 0.611315362156 8 2 9 3 2310 0132 1230 0321 1 0 1 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 0 0 0 0 0 0 0 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.785548847634 0.496873154189 11 4 7 2 1023 1302 3201 0132 1 1 1 0 0 0 0 0 -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 0 0 0 -1 0 0 1 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.734405586705 0.588106403056 3 11 5 7 0132 1230 0132 3012 1 1 0 1 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 0 0 0 0 0 0 0 -2 2 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.523046637213 1.319185481599 12 4 3 6 3120 1230 0132 3201 1 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 -1 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 0.633513783718 0.982517832772 4 8 9 12 0132 1023 3012 1230 1 1 1 0 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 1 -1 0 0 0 0 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618424269578 0.686479711568 11 5 6 10 3012 0132 0132 3120 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.907407936072 1.087676594082 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_3'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0110_10']), 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_12']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : negation(d['c_0110_10']), 'c_1001_8' : d['c_0101_11'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0101_12'], 'c_1010_10' : d['c_0011_12'], 's_3_11' : d['1'], 's_0_11' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_1001_0']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_1001_10']), 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_0011_2'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0110_10'], 'c_1100_10' : d['c_0011_2'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : negation(d['c_0110_10']), 'c_1010_5' : negation(d['c_0110_10']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_10'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_10']), 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_1001_10'], 'c_1100_8' : d['c_0011_2'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(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' : negation(d['1']), 'c_1100_12' : negation(d['c_0101_10']), 's_1_7' : d['1'], 's_1_6' : 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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_11' : d['c_0011_12'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0110_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_11']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_12'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0011_3'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_12'], 's_2_9' : negation(d['1'])})} 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_12, c_0011_2, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0110_10, c_1001_0, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 2364527218918574342/139408189870026477*c_1001_10^9 - 7217934807668756137/278816379740052954*c_1001_10^8 - 2412752273193354906/46469396623342159*c_1001_10^7 + 17314486807454781173/278816379740052954*c_1001_10^6 + 2887568050275893205/46469396623342159*c_1001_10^5 - 797893680356258959/16400963514120762*c_1001_10^4 - 12345711811269309883/278816379740052954*c_1001_10^3 + 2218395807198207917/46469396623342159*c_1001_10^2 + 1253538955794244183/16400963514120762*c_1001_10 - 8161793187721749209/139408189870026477, c_0011_0 - 1, c_0011_10 + 1578421720633591/2511859276937414*c_1001_10^9 - 2700079962104573/2511859276937414*c_1001_10^8 - 2518614420265064/1255929638468707*c_1001_10^7 + 8631150155560907/2511859276937414*c_1001_10^6 + 4454437691022939/2511859276937414*c_1001_10^5 - 5372256344746086/1255929638468707*c_1001_10^4 + 1634653772045732/1255929638468707*c_1001_10^3 + 5976984093981141/2511859276937414*c_1001_10^2 + 469810365621960/1255929638468707*c_1001_10 - 135552034724101/73878214027571, c_0011_12 - 1111492942072969/2511859276937414*c_1001_10^9 + 968136485527795/1255929638468707*c_1001_10^8 + 1720651116159750/1255929638468707*c_1001_10^7 - 2957941438655800/1255929638468707*c_1001_10^6 - 2020984746508766/1255929638468707*c_1001_10^5 + 3928222786056261/1255929638468707*c_1001_10^4 + 559844134466891/2511859276937414*c_1001_10^3 - 4683194694147993/2511859276937414*c_1001_10^2 - 823740652599711/2511859276937414*c_1001_10 + 146670142066017/147756428055142, c_0011_2 - 1863283730423691/2511859276937414*c_1001_10^9 + 1132656024693549/1255929638468707*c_1001_10^8 + 3273964388282695/1255929638468707*c_1001_10^7 - 2962035397392398/1255929638468707*c_1001_10^6 - 3463628063176280/1255929638468707*c_1001_10^5 + 2587468479884304/1255929638468707*c_1001_10^4 + 957178480258545/2511859276937414*c_1001_10^3 - 2995642410153383/2511859276937414*c_1001_10^2 - 3904960476621037/2511859276937414*c_1001_10 + 35757499239115/147756428055142, c_0011_3 + 10327252384370749/21350803853968019*c_1001_10^9 - 4187541622380051/21350803853968019*c_1001_10^8 - 93338679395060697/42701607707936038*c_1001_10^7 + 17420481300955001/42701607707936038*c_1001_10^6 + 73679924764562232/21350803853968019*c_1001_10^5 - 37878221422377599/42701607707936038*c_1001_10^4 - 88329301868130261/42701607707936038*c_1001_10^3 + 27641270684332608/21350803853968019*c_1001_10^2 + 26668437141460107/21350803853968019*c_1001_10 + 122650089525081/2511859276937414, c_0101_0 - 1, c_0101_1 + 9642277751166820/21350803853968019*c_1001_10^9 - 25993681779465893/42701607707936038*c_1001_10^8 - 29890383522888728/21350803853968019*c_1001_10^7 + 63108926465027857/42701607707936038*c_1001_10^6 + 54332415602272835/42701607707936038*c_1001_10^5 - 21352744492680201/21350803853968019*c_1001_10^4 - 18555563798678245/42701607707936038*c_1001_10^3 + 2845998443447361/21350803853968019*c_1001_10^2 + 61796124662132791/42701607707936038*c_1001_10 + 199956183320121/2511859276937414, c_0101_10 + 84989620587025/147756428055142*c_1001_10^9 - 56952282812297/147756428055142*c_1001_10^8 - 166606306200849/73878214027571*c_1001_10^7 + 100525804793201/147756428055142*c_1001_10^6 + 440739137673099/147756428055142*c_1001_10^5 - 50485587332345/73878214027571*c_1001_10^4 - 104758016468770/73878214027571*c_1001_10^3 + 223181191046679/147756428055142*c_1001_10^2 + 181400274241394/73878214027571*c_1001_10 - 22997391627556/73878214027571, c_0101_11 - 1698776161637780/21350803853968019*c_1001_10^9 + 5856585267423859/42701607707936038*c_1001_10^8 + 14077374691120965/42701607707936038*c_1001_10^7 - 14249143700051505/21350803853968019*c_1001_10^6 - 17569750947439067/42701607707936038*c_1001_10^5 + 61857544506586261/42701607707936038*c_1001_10^4 + 3546054212975126/21350803853968019*c_1001_10^3 - 25060489242463769/21350803853968019*c_1001_10^2 - 13601398643585493/42701607707936038*c_1001_10 + 612346244670589/1255929638468707, c_0101_12 - 857947128724650/1255929638468707*c_1001_10^9 + 1308892156800198/1255929638468707*c_1001_10^8 + 3054097842824752/1255929638468707*c_1001_10^7 - 3509119983602762/1255929638468707*c_1001_10^6 - 3825595537851090/1255929638468707*c_1001_10^5 + 3327584572866730/1255929638468707*c_1001_10^4 + 1072628914276609/1255929638468707*c_1001_10^3 - 2238416289107269/1255929638468707*c_1001_10^2 - 2644245741720324/1255929638468707*c_1001_10 + 36229431655872/73878214027571, c_0110_10 + 2010861784686377/2511859276937414*c_1001_10^9 - 2281355983086231/2511859276937414*c_1001_10^8 - 3401551201440371/1255929638468707*c_1001_10^7 + 4570307666552185/2511859276937414*c_1001_10^6 + 7461746891728575/2511859276937414*c_1001_10^5 - 1664981751362128/1255929638468707*c_1001_10^4 - 480314586281452/1255929638468707*c_1001_10^3 + 4462457410702295/2511859276937414*c_1001_10^2 + 2795100270186512/1255929638468707*c_1001_10 + 11190933759713/73878214027571, c_1001_0 + 1549985715975887/2511859276937414*c_1001_10^9 - 1202478552224435/2511859276937414*c_1001_10^8 - 6879327086957625/2511859276937414*c_1001_10^7 + 1705516261674409/1255929638468707*c_1001_10^6 + 9613541547131567/2511859276937414*c_1001_10^5 - 3415781369592363/2511859276937414*c_1001_10^4 - 4332789589384961/2511859276937414*c_1001_10^3 + 4010792892045135/2511859276937414*c_1001_10^2 + 2413992863497423/1255929638468707*c_1001_10 - 78836584344351/147756428055142, c_1001_10^10 - 69/53*c_1001_10^9 - 181/53*c_1001_10^8 + 187/53*c_1001_10^7 + 190/53*c_1001_10^6 - 191/53*c_1001_10^5 - 22/53*c_1001_10^4 + 154/53*c_1001_10^3 + 114/53*c_1001_10^2 - 41/53*c_1001_10 + 17/53 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.370 Total time: 1.570 seconds, Total memory usage: 32.09MB