Magma V2.19-8 Tue Aug 20 2013 16:18:02 on localhost [Seed = 3836049449] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2270 geometric_solution 5.69251497 oriented_manifold CS_known -0.0000000000000000 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 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 0.526119000949 0.271836342793 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 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 0.973667993280 0.503297070301 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 -1 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 0.919324058724 0.837798288136 5 2 4 1 3201 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 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 0.919324058724 0.837798288136 4 2 3 4 3012 0132 1023 1230 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 1 0 -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 0.370289839600 0.806823465415 6 6 2 3 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.626261667995 1.339481073929 5 6 6 5 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.693802843436 0.441507682683 ==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' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(d['c_0011_5']), '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' : negation(d['c_0101_3']), '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_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_5']), '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' : d['c_0101_3'], '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' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0011_1'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(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_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t + 1837043144836519/1116349456214*c_0101_0*c_0101_3^13 - 3450456279446763/558174728107*c_0101_0*c_0101_3^12 - 5356014860185439/1116349456214*c_0101_0*c_0101_3^11 + 83203574789655937/1116349456214*c_0101_0*c_0101_3^10 - 33001333439195771/1116349456214*c_0101_0*c_0101_3^9 - 408577330733893569/1116349456214*c_0101_0*c_0101_3^8 - 127135247244815415/1116349456214*c_0101_0*c_0101_3^7 + 286916125869454119/558174728107*c_0101_0*c_0101_3^6 + 230552503646028037/1116349456214*c_0101_0*c_0101_3^5 - 218142448376828901/558174728107*c_0101_0*c_0101_3^4 - 69256733260812557/558174728107*c_0101_0*c_0101_3^3 + 55580725211959615/558174728107*c_0101_0*c_0101_3^2 + 7446781719572435/558174728107*c_0101_0*c_0101_3 - 7120373283325697/1116349456214*c_0101_0, c_0011_0 - 1, c_0011_1 + 4030016693541/558174728107*c_0101_3^13 - 15143400240314/558174728107*c_0101_3^12 - 11734343682487/558174728107*c_0101_3^11 + 182557439046050/558174728107*c_0101_3^10 - 72645568229311/558174728107*c_0101_3^9 - 896292235006232/558174728107*c_0101_3^8 - 277410414582548/558174728107*c_0101_3^7 + 1258905412524956/558174728107*c_0101_3^6 + 502696412922504/558174728107*c_0101_3^5 - 957432836867263/558174728107*c_0101_3^4 - 300553607865564/558174728107*c_0101_3^3 + 244175020395024/558174728107*c_0101_3^2 + 31195085578706/558174728107*c_0101_3 - 15945780154833/558174728107, c_0011_3 - 2669929936324/558174728107*c_0101_0*c_0101_3^13 + 9856144168143/558174728107*c_0101_0*c_0101_3^12 + 8492159276189/558174728107*c_0101_0*c_0101_3^11 - 120651241560242/558174728107*c_0101_0*c_0101_3^10 + 40017363795164/558174728107*c_0101_0*c_0101_3^9 + 599528319812000/558174728107*c_0101_0*c_0101_3^8 + 221443702007764/558174728107*c_0101_0*c_0101_3^7 - 834026892571632/558174728107*c_0101_0*c_0101_3^6 - 388690418726965/558174728107*c_0101_0*c_0101_3^5 + 630978519753025/558174728107*c_0101_0*c_0101_3^4 + 243730621254358/558174728107*c_0101_0*c_0101_3^3 - 163684052513904/558174728107*c_0101_0*c_0101_3^2 - 32135412185404/558174728107*c_0101_0*c_0101_3 + 12970063860352/558174728107*c_0101_0, c_0011_5 + 2475453781107/558174728107*c_0101_0*c_0101_3^13 - 9112583220227/558174728107*c_0101_0*c_0101_3^12 - 7935814941119/558174728107*c_0101_0*c_0101_3^11 + 111673794407029/558174728107*c_0101_0*c_0101_3^10 - 36094073517449/558174728107*c_0101_0*c_0101_3^9 - 554797019022706/558174728107*c_0101_0*c_0101_3^8 - 211050460536360/558174728107*c_0101_0*c_0101_3^7 + 763605149865177/558174728107*c_0101_0*c_0101_3^6 + 363363889391028/558174728107*c_0101_0*c_0101_3^5 - 572194193989640/558174728107*c_0101_0*c_0101_3^4 - 224364455906206/558174728107*c_0101_0*c_0101_3^3 + 143500021119962/558174728107*c_0101_0*c_0101_3^2 + 27023545926958/558174728107*c_0101_0*c_0101_3 - 10655509210217/558174728107*c_0101_0, c_0101_0^2 + 4030016693541/558174728107*c_0101_3^13 - 15143400240314/558174728107*c_0101_3^12 - 11734343682487/558174728107*c_0101_3^11 + 182557439046050/558174728107*c_0101_3^10 - 72645568229311/558174728107*c_0101_3^9 - 896292235006232/558174728107*c_0101_3^8 - 277410414582548/558174728107*c_0101_3^7 + 1258905412524956/558174728107*c_0101_3^6 + 502696412922504/558174728107*c_0101_3^5 - 957432836867263/558174728107*c_0101_3^4 - 300553607865564/558174728107*c_0101_3^3 + 244175020395024/558174728107*c_0101_3^2 + 31195085578706/558174728107*c_0101_3 - 16503954882940/558174728107, c_0101_1 - 1031337838471/558174728107*c_0101_3^13 + 3933284438565/558174728107*c_0101_3^12 + 2784520919226/558174728107*c_0101_3^11 - 46869445240673/558174728107*c_0101_3^10 + 21155935315125/558174728107*c_0101_3^9 + 228276743886803/558174728107*c_0101_3^8 + 58750956448593/558174728107*c_0101_3^7 - 326427220915345/558174728107*c_0101_3^6 - 113085454345623/558174728107*c_0101_3^5 + 251401433358031/558174728107*c_0101_3^4 + 66150665732572/558174728107*c_0101_3^3 - 65360441165130/558174728107*c_0101_3^2 - 6113926048748/558174728107*c_0101_3 + 4231448989913/558174728107, c_0101_3^14 - 4*c_0101_3^13 - 2*c_0101_3^12 + 46*c_0101_3^11 - 29*c_0101_3^10 - 218*c_0101_3^9 - 15*c_0101_3^8 + 329*c_0101_3^7 + 49*c_0101_3^6 - 268*c_0101_3^5 - 17*c_0101_3^4 + 79*c_0101_3^3 - 7*c_0101_3^2 - 6*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB