Magma V2.19-8 Tue Aug 20 2013 16:19:23 on localhost [Seed = 155751438] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3484 geometric_solution 6.72341766 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 0 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.277950501895 0.552348670712 0 4 0 2 0132 0132 2310 1302 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.273038453289 1.444632196189 4 3 1 0 0213 3012 2031 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.726058459866 1.188298187939 2 5 0 6 1230 0132 0132 0132 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 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 0.470308118181 0.959517209458 2 1 6 5 0213 0132 1230 1230 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 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 0.440951765525 0.798767778183 4 3 5 5 3012 0132 2031 1302 0 0 0 0 0 1 -1 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 -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 0 0 0.344687690282 0.878620637985 6 6 3 4 1230 3012 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.120219970220 1.204377409892 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(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' : d['1'], 's_2_6' : 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' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_1001_4']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_1001_4']), 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_2'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0011_2']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0101_5'])})} 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_2, c_0011_3, c_0011_6, c_0101_1, c_0101_5, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 2867851837815970375/8299004732066224*c_1001_4^19 - 18157932871980581643/4149502366033112*c_1001_4^18 - 10020083427872954793/488176748945072*c_1001_4^17 - 270687507974708729935/8299004732066224*c_1001_4^16 + 231443625991697084503/4149502366033112*c_1001_4^15 + 2099293809610068240043/8299004732066224*c_1001_4^14 + 82947971923311533713/1037375591508278*c_1001_4^13 - 280071011221121760891/377227487821192*c_1001_4^12 - 5418923271662903889171/8299004732066224*c_1001_4^11 + 2882869699188213291643/2074751183016556*c_1001_4^10 + 146322903676752564005/94306871955298*c_1001_4^9 - 8300587138343421624969/4149502366033112*c_1001_4^8 - 16756455582662883600703/8299004732066224*c_1001_4^7 + 19744277591908874882431/8299004732066224*c_1001_4^6 + 723867117453422925397/518687795754139*c_1001_4^5 - 8471826934297382934499/4149502366033112*c_1001_4^4 - 1417103098066186479387/8299004732066224*c_1001_4^3 + 3654095222568503391037/4149502366033112*c_1001_4^2 - 57776201682251022911/188613743910596*c_1001_4 + 146997744053884295425/8299004732066224, c_0011_0 - 1, c_0011_2 + 14291524315391/2773731528097*c_1001_4^19 + 181148698325502/2773731528097*c_1001_4^18 + 851577201850852/2773731528097*c_1001_4^17 + 1365239150855638/2773731528097*c_1001_4^16 - 2264310815219188/2773731528097*c_1001_4^15 - 10453166002198327/2773731528097*c_1001_4^14 - 3505532723615273/2773731528097*c_1001_4^13 + 30396018758281583/2773731528097*c_1001_4^12 + 27336972016238586/2773731528097*c_1001_4^11 - 56408234272533209/2773731528097*c_1001_4^10 - 64387960658744555/2773731528097*c_1001_4^9 + 80715064670447964/2773731528097*c_1001_4^8 + 83500322981274189/2773731528097*c_1001_4^7 - 95858947548751316/2773731528097*c_1001_4^6 - 57877425555389300/2773731528097*c_1001_4^5 + 82333232450531076/2773731528097*c_1001_4^4 + 7605898579560524/2773731528097*c_1001_4^3 - 35564039057367427/2773731528097*c_1001_4^2 + 12225144411262703/2773731528097*c_1001_4 - 701642870212026/2773731528097, c_0011_3 - 30159283219516/2773731528097*c_1001_4^19 - 382148091923088/2773731528097*c_1001_4^18 - 1794377360808298/2773731528097*c_1001_4^17 - 2860960064607232/2773731528097*c_1001_4^16 + 4842816182455249/2773731528097*c_1001_4^15 + 22103565581232435/2773731528097*c_1001_4^14 + 7137177913174302/2773731528097*c_1001_4^13 - 64704271898491152/2773731528097*c_1001_4^12 - 57373903810702824/2773731528097*c_1001_4^11 + 120808502373474000/2773731528097*c_1001_4^10 + 135999479241286118/2773731528097*c_1001_4^9 - 173656765958812538/2773731528097*c_1001_4^8 - 176897045629598666/2773731528097*c_1001_4^7 + 206566287877557971/2773731528097*c_1001_4^6 + 122493751208904724/2773731528097*c_1001_4^5 - 177470777621997726/2773731528097*c_1001_4^4 - 15411948346991853/2773731528097*c_1001_4^3 + 76667487615769506/2773731528097*c_1001_4^2 - 26565370124007356/2773731528097*c_1001_4 + 1532858738072893/2773731528097, c_0011_6 + 17388005605929/2773731528097*c_1001_4^19 + 220238767715268/2773731528097*c_1001_4^18 + 1033390408592005/2773731528097*c_1001_4^17 + 1643450802024804/2773731528097*c_1001_4^16 - 2805445160316375/2773731528097*c_1001_4^15 - 12741829450601446/2773731528097*c_1001_4^14 - 4049274167114321/2773731528097*c_1001_4^13 + 37386920887505532/2773731528097*c_1001_4^12 + 32961844110620112/2773731528097*c_1001_4^11 - 69939839436032510/2773731528097*c_1001_4^10 - 78311367933534568/2773731528097*c_1001_4^9 + 100655067934417262/2773731528097*c_1001_4^8 + 101949581169950742/2773731528097*c_1001_4^7 - 119729612822102395/2773731528097*c_1001_4^6 - 70556606464723453/2773731528097*c_1001_4^5 + 102811684497554587/2773731528097*c_1001_4^4 + 8757659910366300/2773731528097*c_1001_4^3 - 44385013984491571/2773731528097*c_1001_4^2 + 15400868421849297/2773731528097*c_1001_4 - 886633712090028/2773731528097, c_0101_1 + 1, c_0101_5 + 8091693228510/2773731528097*c_1001_4^19 + 102368168199576/2773731528097*c_1001_4^18 + 479443239146100/2773731528097*c_1001_4^17 + 758559173624849/2773731528097*c_1001_4^16 - 1313426014944769/2773731528097*c_1001_4^15 - 5909239153107092/2773731528097*c_1001_4^14 - 1820017020271940/2773731528097*c_1001_4^13 + 17389361341809651/2773731528097*c_1001_4^12 + 15147474857337906/2773731528097*c_1001_4^11 - 32607419248386724/2773731528097*c_1001_4^10 - 36080987108984502/2773731528097*c_1001_4^9 + 46972842877428356/2773731528097*c_1001_4^8 + 46958495927609785/2773731528097*c_1001_4^7 - 55790122337903992/2773731528097*c_1001_4^6 - 32393580972023946/2773731528097*c_1001_4^5 + 47759593862614354/2773731528097*c_1001_4^4 + 3888441112194540/2773731528097*c_1001_4^3 - 20542379512329188/2773731528097*c_1001_4^2 + 7144917372767128/2773731528097*c_1001_4 - 410587727388471/2773731528097, c_1001_4^20 + 12*c_1001_4^19 + 51*c_1001_4^18 + 55*c_1001_4^17 - 224*c_1001_4^16 - 625*c_1001_4^15 + 254*c_1001_4^14 + 2302*c_1001_4^13 + 465*c_1001_4^12 - 5274*c_1001_4^11 - 1824*c_1001_4^10 + 8766*c_1001_4^9 + 2005*c_1001_4^8 - 10759*c_1001_4^7 + 526*c_1001_4^6 + 8586*c_1001_4^5 - 3423*c_1001_4^4 - 2876*c_1001_4^3 + 2576*c_1001_4^2 - 639*c_1001_4 + 34 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB