Magma V2.19-8 Tue Aug 20 2013 17:56:23 on localhost [Seed = 3903413465] Type ? for help. Type -D to quit. Loading file "11_39__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_39 geometric_solution 10.18300955 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 -1 0 0 1 1 -1 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.466276820668 1.008310540917 0 5 6 2 0132 0132 0132 3012 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 -1 1 1 0 0 -1 -2 0 0 2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.658475840538 0.634599547511 7 0 1 8 0132 0132 1230 0132 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 -2 2 -1 2 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.632679163647 1.364804754827 9 6 10 0 0132 1230 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.957009770838 0.961808565151 5 7 0 8 0132 0132 0132 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 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 0.620006300244 1.215316682098 4 1 10 9 0132 0132 2103 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.131791516860 0.872014708615 8 10 3 1 1023 3201 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.689270866670 1.032537689657 2 4 9 10 0132 0132 0213 0321 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 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.408115864653 0.359414697784 4 6 2 9 3201 1023 0132 1302 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 -2 2 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.256953939921 0.633072984771 3 7 8 5 0132 0213 2031 2103 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 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.632132534934 0.344171546121 5 7 6 3 2103 0321 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.264547021289 0.508613154797 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_1001_1']), 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0110_8']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_6'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0110_8']), 'c_1001_8' : d['c_0101_6'], 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_3'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : 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_9' : negation(d['c_0101_1']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : negation(d['c_1001_1']), 'c_1100_6' : negation(d['c_1001_2']), 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0101_0'], 'c_1100_10' : d['c_0011_6'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0110_8']), 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_1001_1']), 'c_1010_8' : d['c_0101_1'], 'c_1100_8' : d['c_0101_0'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : 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' : d['1'], 's_1_7' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_6'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : 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' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_3'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_3']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_6, c_0110_8, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 58955788609411247/1385790150007296*c_1001_2^11 + 107405134513638611/461930050002432*c_1001_2^10 - 460630045252722337/2771580300014592*c_1001_2^9 - 1236264622958356775/2771580300014592*c_1001_2^8 - 788308589636246359/1847720200009728*c_1001_2^7 + 5207114210294170345/5543160600029184*c_1001_2^6 - 622032872412845029/5543160600029184*c_1001_2^5 - 4728854281518802175/5543160600029184*c_1001_2^4 - 1380670273074551975/5543160600029184*c_1001_2^3 + 4200311296288301339/5543160600029184*c_1001_2^2 - 2249073299625652121/5543160600029184*c_1001_2 - 127589128528075051/615906733336576, c_0011_0 - 1, c_0011_10 + 1500982/1608212351*c_1001_2^11 - 31113496/4824637053*c_1001_2^10 - 356326934/4824637053*c_1001_2^9 + 2054121760/4824637053*c_1001_2^8 - 147653147/1608212351*c_1001_2^7 - 1760657311/1608212351*c_1001_2^6 - 28189728271/19298548212*c_1001_2^5 + 7713876437/4824637053*c_1001_2^4 + 3587930021/3216424702*c_1001_2^3 - 11472563171/9649274106*c_1001_2^2 - 24252234319/19298548212*c_1001_2 + 2946483493/3216424702, c_0011_3 - 393336245/3216424702*c_1001_2^11 + 1057434343/1608212351*c_1001_2^10 - 2454105763/6432849404*c_1001_2^9 - 2379433574/1608212351*c_1001_2^8 - 18248186611/12865698808*c_1001_2^7 + 4786159958/1608212351*c_1001_2^6 + 11975755419/12865698808*c_1001_2^5 - 16381762049/6432849404*c_1001_2^4 - 16167085009/12865698808*c_1001_2^3 + 5010286973/3216424702*c_1001_2^2 - 574706557/12865698808*c_1001_2 - 4543300229/6432849404, c_0011_6 + 4678057/9649274106*c_1001_2^11 - 38338548/1608212351*c_1001_2^10 + 2154291467/19298548212*c_1001_2^9 - 129998209/9649274106*c_1001_2^8 - 5209909263/12865698808*c_1001_2^7 - 4006100353/19298548212*c_1001_2^6 + 29476444763/38597096424*c_1001_2^5 + 11974786523/19298548212*c_1001_2^4 - 40351362755/38597096424*c_1001_2^3 - 7756226195/19298548212*c_1001_2^2 - 597188237/38597096424*c_1001_2 - 747990539/6432849404, c_0101_0 - 122135948/4824637053*c_1001_2^11 + 944717158/4824637053*c_1001_2^10 - 593055347/1608212351*c_1001_2^9 - 1412359679/4824637053*c_1001_2^8 + 1610506813/3216424702*c_1001_2^7 + 18883884227/9649274106*c_1001_2^6 - 7798972409/6432849404*c_1001_2^5 - 9770778247/4824637053*c_1001_2^4 - 528592709/4824637053*c_1001_2^3 + 3769346855/1608212351*c_1001_2^2 - 19708857871/19298548212*c_1001_2 - 3042986071/3216424702, c_0101_1 - 32349652/1608212351*c_1001_2^11 - 39132334/4824637053*c_1001_2^10 + 2424797935/4824637053*c_1001_2^9 - 1576840007/4824637053*c_1001_2^8 - 5452073815/3216424702*c_1001_2^7 - 3845537859/3216424702*c_1001_2^6 + 26841682961/19298548212*c_1001_2^5 + 4969826557/9649274106*c_1001_2^4 - 6592324571/3216424702*c_1001_2^3 - 5696320355/9649274106*c_1001_2^2 + 11370551975/19298548212*c_1001_2 + 295158961/3216424702, c_0101_3 - 186018391/9649274106*c_1001_2^11 + 305835309/1608212351*c_1001_2^10 - 9260196365/19298548212*c_1001_2^9 - 438417073/4824637053*c_1001_2^8 + 4650724129/12865698808*c_1001_2^7 + 22058736299/9649274106*c_1001_2^6 - 8164785461/38597096424*c_1001_2^5 - 4522961489/19298548212*c_1001_2^4 - 17356722451/38597096424*c_1001_2^3 + 4808847704/4824637053*c_1001_2^2 + 1787522387/38597096424*c_1001_2 + 2481021001/6432849404, c_0101_6 - 1268051537/9649274106*c_1001_2^11 + 1104702703/1608212351*c_1001_2^10 - 6674508715/19298548212*c_1001_2^9 - 7189343771/4824637053*c_1001_2^8 - 20431364089/12865698808*c_1001_2^7 + 22652125045/9649274106*c_1001_2^6 + 22936706741/38597096424*c_1001_2^5 - 52668000013/19298548212*c_1001_2^4 - 61988594369/38597096424*c_1001_2^3 + 11553117227/9649274106*c_1001_2^2 - 28851113735/38597096424*c_1001_2 - 6604876137/6432849404, c_0110_8 - 177745969/4824637053*c_1001_2^11 + 876310967/4824637053*c_1001_2^10 - 501605299/3216424702*c_1001_2^9 + 2082936925/9649274106*c_1001_2^8 - 7602381463/6432849404*c_1001_2^7 - 8756321095/19298548212*c_1001_2^6 - 1405978433/1608212351*c_1001_2^5 + 7947351169/4824637053*c_1001_2^4 + 1108845347/19298548212*c_1001_2^3 - 4757700065/6432849404*c_1001_2^2 - 2624676872/4824637053*c_1001_2 + 731559963/1608212351, c_1001_1 - 4678057/9649274106*c_1001_2^11 + 38338548/1608212351*c_1001_2^10 - 2154291467/19298548212*c_1001_2^9 + 129998209/9649274106*c_1001_2^8 + 5209909263/12865698808*c_1001_2^7 + 4006100353/19298548212*c_1001_2^6 - 29476444763/38597096424*c_1001_2^5 - 11974786523/19298548212*c_1001_2^4 + 40351362755/38597096424*c_1001_2^3 + 7756226195/19298548212*c_1001_2^2 + 597188237/38597096424*c_1001_2 + 747990539/6432849404, c_1001_2^12 - 5*c_1001_2^11 + 3/2*c_1001_2^10 + 23/2*c_1001_2^9 + 63/4*c_1001_2^8 - 65/4*c_1001_2^7 - 27/4*c_1001_2^6 + 71/4*c_1001_2^5 + 67/4*c_1001_2^4 - 51/4*c_1001_2^3 + 5/4*c_1001_2^2 + 27/4*c_1001_2 + 9/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.390 seconds, Total memory usage: 32.09MB