Magma V2.19-8 Wed Aug 21 2013 00:05:05 on localhost [Seed = 2783169498] Type ? for help. Type -D to quit. Loading file "L9a16__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L9a16 geometric_solution 10.74025767 oriented_manifold CS_known 0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 3 0132 0132 0132 0321 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 0 0 0 0 0 1 0 -1 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 0.999638697630 0.738169590495 0 4 6 5 0132 0132 0132 0132 1 1 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 1 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 0.641478932263 0.629877099871 6 0 7 7 0132 0132 0213 0132 1 1 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 1 0 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.520127387297 0.753227270886 5 0 8 0 0132 0321 0132 0132 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 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 0.352637671385 0.478035900520 9 1 6 10 0132 0132 1023 0132 1 1 0 0 0 0 0 0 0 0 -1 1 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 1 0 2 -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 -0.141251824717 0.883906176347 3 7 1 11 0132 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.380054022719 1.429848721025 2 9 4 1 0132 0132 1023 0132 1 1 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 3 -2 -1 0 0 1 -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 1.086152644691 1.574640510976 5 2 2 8 1023 0213 0132 2310 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 -1 0 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 0.601623793782 0.944332800613 7 11 11 3 3201 2031 2310 0132 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 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 1.134837556903 0.774929654479 4 6 10 10 0132 0132 0213 1230 1 1 0 0 0 1 0 -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 -3 0 3 -1 0 0 1 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.202584519049 0.533963682712 9 9 4 11 3012 0213 0132 1023 1 1 1 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 0 0 0 -3 0 3 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 0.202584519049 0.533963682712 8 8 5 10 1302 3201 0132 1023 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399039274733 0.410369117901 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_8']), 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_6'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : d['c_1001_0'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0110_10']), 'c_1010_11' : d['c_0110_10'], 'c_1010_10' : d['c_0110_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_8']), 'c_0101_10' : d['c_0011_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : 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_10' : d['1'], 's_2_11' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_1100_1']), 'c_1100_7' : d['c_0011_8'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0011_11'], 'c_1100_3' : d['c_0011_11'], 'c_1100_2' : d['c_0011_8'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0110_10'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_1100_1']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0101_8']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : d['c_1001_0'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_0011_11'], 'c_1100_8' : d['c_0011_11'], 's_3_1' : negation(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_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' : negation(d['1']), 's_1_4' : 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_0']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_0'], '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_11' : d['c_0110_10'], 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_10'], 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : negation(d['c_0011_8']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_8']), 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : negation(d['c_0101_8']), 'c_0110_6' : negation(d['c_0011_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_8, c_0101_0, c_0101_6, c_0101_8, c_0110_10, c_1001_0, c_1001_1, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 568062724218/81593*c_1100_1^4 + 874751236603/81593*c_1100_1^3 - 343296253121/81593*c_1100_1^2 - 81551524393/81593*c_1100_1 + 24556199247/81593, c_0011_0 - 1, c_0011_10 + 1112595/81593*c_1100_1^4 - 966016/81593*c_1100_1^3 - 216219/81593*c_1100_1^2 + 361966/81593*c_1100_1 + 66299/81593, c_0011_11 + 2282302/81593*c_1100_1^4 - 2530285/81593*c_1100_1^3 + 147766/81593*c_1100_1^2 + 576274/81593*c_1100_1 + 108706/81593, c_0011_3 - 1644874/81593*c_1100_1^4 + 2128228/81593*c_1100_1^3 - 512082/81593*c_1100_1^2 - 315841/81593*c_1100_1 + 11856/81593, c_0011_8 - 2959660/81593*c_1100_1^4 + 3643448/81593*c_1100_1^3 - 639937/81593*c_1100_1^2 - 652570/81593*c_1100_1 - 107461/81593, c_0101_0 - 1, c_0101_6 + 364452/81593*c_1100_1^4 - 387302/81593*c_1100_1^3 - 168339/81593*c_1100_1^2 + 215256/81593*c_1100_1 + 64657/81593, c_0101_8 - 3452009/81593*c_1100_1^4 + 4094554/81593*c_1100_1^3 - 511751/81593*c_1100_1^2 - 790582/81593*c_1100_1 - 151113/81593, c_0110_10 + 694540/81593*c_1100_1^4 - 1000310/81593*c_1100_1^3 + 215888/81593*c_1100_1^2 + 194368/81593*c_1100_1 + 15077/81593, c_1001_0 - 1112595/81593*c_1100_1^4 + 966016/81593*c_1100_1^3 + 216219/81593*c_1100_1^2 - 361966/81593*c_1100_1 - 66299/81593, c_1001_1 + 1297604/81593*c_1100_1^4 - 1628073/81593*c_1100_1^3 + 404138/81593*c_1100_1^2 + 300250/81593*c_1100_1 + 21402/81593, c_1100_1^5 - 169/121*c_1100_1^4 + 48/121*c_1100_1^3 + 25/121*c_1100_1^2 - 1/121*c_1100_1 - 1/121 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_8, c_0101_0, c_0101_6, c_0101_8, c_0110_10, c_1001_0, c_1001_1, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 12323969357538853985765/132186050831342592*c_1100_1^5 - 17130776691811230863071/44062016943780864*c_1100_1^4 - 129022047560492795017/5507752117972608*c_1100_1^3 - 90249861242651072120041/44062016943780864*c_1100_1^2 + 181045450037770846639903/132186050831342592*c_1100_1 - 91538534792179652016389/132186050831342592, c_0011_0 - 1, c_0011_10 + 1438482310662/683004974947*c_1100_1^5 + 933304685167/683004974947*c_1100_1^4 + 5153751423400/683004974947*c_1100_1^3 - 4936333218953/683004974947*c_1100_1^2 + 2290694628056/683004974947*c_1100_1 - 175753037789/683004974947, c_0011_11 - 814362398720/683004974947*c_1100_1^5 - 675324332018/683004974947*c_1100_1^4 - 3007514391025/683004974947*c_1100_1^3 + 2270409002362/683004974947*c_1100_1^2 - 1007567793462/683004974947*c_1100_1 + 82171540186/683004974947, c_0011_3 - 410513535127/683004974947*c_1100_1^5 - 169237780521/683004974947*c_1100_1^4 - 1379328698014/683004974947*c_1100_1^3 + 1942856754367/683004974947*c_1100_1^2 - 491552285472/683004974947*c_1100_1 + 530194937717/683004974947, c_0011_8 - 514224243207/683004974947*c_1100_1^5 - 396247580541/683004974947*c_1100_1^4 - 2004689027380/683004974947*c_1100_1^3 + 1613140528642/683004974947*c_1100_1^2 - 428501966975/683004974947*c_1100_1 - 21593577808/683004974947, c_0101_0 - 1, c_0101_6 + 311132124240/683004974947*c_1100_1^5 + 681029400060/683004974947*c_1100_1^4 + 1876080988098/683004974947*c_1100_1^3 + 989148677175/683004974947*c_1100_1^2 + 493854019456/683004974947*c_1100_1 + 289355596681/683004974947, c_0101_8 + 206941705281/683004974947*c_1100_1^5 + 425591343604/683004974947*c_1100_1^4 + 1015765329358/683004974947*c_1100_1^3 + 892237044148/683004974947*c_1100_1^2 + 133032796693/683004974947*c_1100_1 + 48821825468/683004974947, c_0110_10 + 617934951287/683004974947*c_1100_1^5 + 623257380561/683004974947*c_1100_1^4 + 2630049356746/683004974947*c_1100_1^3 - 1283424302917/683004974947*c_1100_1^2 + 1048456623425/683004974947*c_1100_1 - 109622881614/683004974947, c_1001_0 + 1438482310662/683004974947*c_1100_1^5 + 933304685167/683004974947*c_1100_1^4 + 5153751423400/683004974947*c_1100_1^3 - 4936333218953/683004974947*c_1100_1^2 + 2290694628056/683004974947*c_1100_1 - 175753037789/683004974947, c_1001_1 - 611270279753/683004974947*c_1100_1^5 - 960106151537/683004974947*c_1100_1^4 - 2878906351743/683004974947*c_1100_1^3 - 331880203455/683004974947*c_1100_1^2 + 293090103951/683004974947*c_1100_1 - 185590478687/683004974947, c_1100_1^6 + 219/361*c_1100_1^5 + 1356/361*c_1100_1^4 - 1239/361*c_1100_1^3 + 839/361*c_1100_1^2 - 181/361*c_1100_1 + 36/361 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.350 seconds, Total memory usage: 32.09MB