Magma V2.19-8 Tue Aug 20 2013 16:19:08 on localhost [Seed = 3987501200] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3265 geometric_solution 6.39214249 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 -1 0 1 1 0 -1 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 -1 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 0 0 0 0.640548611575 1.155819472174 0 3 5 4 0132 0132 0132 0132 0 0 0 0 0 0 0 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 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 0.314298647179 0.824904143083 3 0 4 5 3201 0132 3201 0132 0 0 0 0 0 1 -1 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 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 0.314298647179 0.824904143083 3 1 3 2 2310 0132 3201 2310 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.165107082317 0.971524850396 2 6 1 6 2310 0132 0132 1023 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 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 1.059167809274 1.006104969303 5 5 2 1 1302 2031 0132 0132 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 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 0.476674071897 1.003238321901 6 4 6 4 2031 0132 1302 1023 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 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 0.498841566258 0.215761517355 ==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_2_6' : d['1'], 's_1_6' : 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_6' : 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_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 32 Groebner basis: [ t + 1004679183863/66879301793*c_0101_2*c_0110_6^15 - 7171265691878/66879301793*c_0101_2*c_0110_6^14 - 5157020680307/66879301793*c_0101_2*c_0110_6^13 + 36936910583912/66879301793*c_0101_2*c_0110_6^12 - 33459204453453/66879301793*c_0101_2*c_0110_6^11 - 77102186232976/66879301793*c_0101_2*c_0110_6^10 + 137142789231816/66879301793*c_0101_2*c_0110_6^9 + 71075183147188/66879301793*c_0101_2*c_0110_6^8 - 127554901119210/66879301793*c_0101_2*c_0110_6^7 + 36692847914191/66879301793*c_0101_2*c_0110_6^6 + 59111111849660/66879301793*c_0101_2*c_0110_6^5 - 32761244773601/66879301793*c_0101_2*c_0110_6^4 + 11122453830805/66879301793*c_0101_2*c_0110_6^3 + 9233958506819/66879301793*c_0101_2*c_0110_6^2 - 4595122732041/66879301793*c_0101_2*c_0110_6 + 2138975235650/66879301793*c_0101_2, c_0011_0 - 1, c_0011_4 + 132742846595/66879301793*c_0101_2*c_0110_6^15 - 1036010124518/66879301793*c_0101_2*c_0110_6^14 + 21520194040/66879301793*c_0101_2*c_0110_6^13 + 4734096559978/66879301793*c_0101_2*c_0110_6^12 - 7275928722193/66879301793*c_0101_2*c_0110_6^11 - 4985636292123/66879301793*c_0101_2*c_0110_6^10 + 19562337502591/66879301793*c_0101_2*c_0110_6^9 - 1832787291256/66879301793*c_0101_2*c_0110_6^8 - 13330526163413/66879301793*c_0101_2*c_0110_6^7 + 8703899359983/66879301793*c_0101_2*c_0110_6^6 + 2520824482076/66879301793*c_0101_2*c_0110_6^5 - 3463689606998/66879301793*c_0101_2*c_0110_6^4 + 1740133304453/66879301793*c_0101_2*c_0110_6^3 + 268616229755/66879301793*c_0101_2*c_0110_6^2 - 297818472897/66879301793*c_0101_2*c_0110_6 + 109497618886/66879301793*c_0101_2, c_0011_5 + 31647887388/66879301793*c_0101_2*c_0110_6^15 - 231861994657/66879301793*c_0101_2*c_0110_6^14 - 121497373456/66879301793*c_0101_2*c_0110_6^13 + 1198367037558/66879301793*c_0101_2*c_0110_6^12 - 1207769582209/66879301793*c_0101_2*c_0110_6^11 - 2296564891280/66879301793*c_0101_2*c_0110_6^10 + 4609707992653/66879301793*c_0101_2*c_0110_6^9 + 1948237328496/66879301793*c_0101_2*c_0110_6^8 - 4545264156000/66879301793*c_0101_2*c_0110_6^7 + 968111780902/66879301793*c_0101_2*c_0110_6^6 + 2080161154270/66879301793*c_0101_2*c_0110_6^5 - 1225870117866/66879301793*c_0101_2*c_0110_6^4 - 70622499068/66879301793*c_0101_2*c_0110_6^3 + 413445344484/66879301793*c_0101_2*c_0110_6^2 - 86240724978/66879301793*c_0101_2*c_0110_6 + 1685965405/66879301793*c_0101_2, c_0101_0 + 97989504059/66879301793*c_0110_6^15 - 762254151129/66879301793*c_0110_6^14 + 8780094285/66879301793*c_0110_6^13 + 3405384680628/66879301793*c_0110_6^12 - 5333987555316/66879301793*c_0110_6^11 - 3445260210855/66879301793*c_0110_6^10 + 13958068560443/66879301793*c_0110_6^9 - 1588974233103/66879301793*c_0110_6^8 - 8840576113232/66879301793*c_0110_6^7 + 6947277925618/66879301793*c_0110_6^6 + 1810401328883/66879301793*c_0110_6^5 - 2534879734118/66879301793*c_0110_6^4 + 1425398653243/66879301793*c_0110_6^3 + 299801362532/66879301793*c_0110_6^2 - 131742406876/66879301793*c_0110_6 + 157587654438/66879301793, c_0101_1 - 64682212916/66879301793*c_0110_6^15 + 499272935171/66879301793*c_0110_6^14 + 38139291097/66879301793*c_0110_6^13 - 2341085833614/66879301793*c_0110_6^12 + 3285613184182/66879301793*c_0110_6^11 + 2919626355242/66879301793*c_0110_6^10 - 9341383753578/66879301793*c_0110_6^9 - 525571235472/66879301793*c_0110_6^8 + 7044851214321/66879301793*c_0110_6^7 - 2713652264272/66879301793*c_0110_6^6 - 2032319067271/66879301793*c_0110_6^5 + 1209166053309/66879301793*c_0110_6^4 - 228950304295/66879301793*c_0110_6^3 - 70243765503/66879301793*c_0110_6^2 + 53132996537/66879301793*c_0110_6 - 914687815/66879301793, c_0101_2^2 + 303195969280/735672319723*c_0110_6^15 - 2125660249346/735672319723*c_0110_6^14 - 1781548395471/735672319723*c_0110_6^13 + 10500898494040/735672319723*c_0110_6^12 - 8194678959956/735672319723*c_0110_6^11 - 22841287117411/735672319723*c_0110_6^10 + 33719058530413/735672319723*c_0110_6^9 + 28259656673099/735672319723*c_0110_6^8 - 27088025714275/735672319723*c_0110_6^7 - 2312299166984/735672319723*c_0110_6^6 + 15992320245056/735672319723*c_0110_6^5 - 1001857922568/735672319723*c_0110_6^4 - 674222090141/735672319723*c_0110_6^3 + 2087296248300/735672319723*c_0110_6^2 + 425546176397/735672319723*c_0110_6 - 417119952971/735672319723, c_0110_6^16 - 7*c_0110_6^15 - 6*c_0110_6^14 + 35*c_0110_6^13 - 27*c_0110_6^12 - 78*c_0110_6^11 + 115*c_0110_6^10 + 96*c_0110_6^9 - 102*c_0110_6^8 - 2*c_0110_6^7 + 67*c_0110_6^6 - 13*c_0110_6^5 - 3*c_0110_6^4 + 13*c_0110_6^3 - c_0110_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.230 seconds, Total memory usage: 32.09MB