Magma V2.19-8 Tue Aug 20 2013 16:18:24 on localhost [Seed = 2050746188] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2608 geometric_solution 5.89088089 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 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 -1 1 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 0.543177224930 0.289234350791 2 0 3 0 0132 2310 0132 0132 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 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 1.022494591734 0.474525545406 1 3 4 5 0132 0213 0132 0132 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.559176022387 0.564759232788 5 4 2 1 0132 1023 0213 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 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 0.559176022387 0.564759232788 3 4 4 2 1023 3201 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 -1 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 0.637644282572 0.745153356224 3 6 2 6 0132 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.352944983703 1.673770646847 6 5 6 5 2310 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.492927211784 0.335232994156 ==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' : negation(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' : 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_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], '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' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_3'], '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' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], '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_0011_1']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : negation(d['c_0011_1']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_1']), '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_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t - 7588279835/87786496*c_0101_4*c_0101_6^13 - 4193562409/12540928*c_0101_4*c_0101_6^12 + 110603470819/87786496*c_0101_4*c_0101_6^11 + 654827329539/87786496*c_0101_4*c_0101_6^10 + 60197229889/12540928*c_0101_4*c_0101_6^9 - 541206462339/21946624*c_0101_4*c_0101_6^8 - 3777013745689/87786496*c_0101_4*c_0101_6^7 - 140547202113/5486656*c_0101_4*c_0101_6^6 - 2671405036137/87786496*c_0101_4*c_0101_6^5 - 1436339215347/43893248*c_0101_4*c_0101_6^4 - 481718747137/43893248*c_0101_4*c_0101_6^3 + 102517317657/87786496*c_0101_4*c_0101_6^2 + 141729913981/87786496*c_0101_4*c_0101_6 + 32912244605/87786496*c_0101_4, c_0011_0 - 1, c_0011_1 + 4622583/3135232*c_0101_6^13 + 16639499/3135232*c_0101_6^12 - 71298047/3135232*c_0101_6^11 - 377966751/3135232*c_0101_6^10 - 164310675/3135232*c_0101_6^9 + 330338447/783808*c_0101_6^8 + 1942650541/3135232*c_0101_6^7 + 63025409/195952*c_0101_6^6 + 1526149853/3135232*c_0101_6^5 + 693320943/1567616*c_0101_6^4 + 183677765/1567616*c_0101_6^3 - 60317645/3135232*c_0101_6^2 - 71660641/3135232*c_0101_6 - 13634529/3135232, c_0011_3 - 68922243/21946624*c_0101_4*c_0101_6^13 - 260900831/21946624*c_0101_4*c_0101_6^12 + 146231885/3135232*c_0101_4*c_0101_6^11 + 5854447411/21946624*c_0101_4*c_0101_6^10 + 3385435951/21946624*c_0101_4*c_0101_6^9 - 705374395/783808*c_0101_4*c_0101_6^8 - 32663017817/21946624*c_0101_4*c_0101_6^7 - 576884937/685832*c_0101_4*c_0101_6^6 - 23483278129/21946624*c_0101_4*c_0101_6^5 - 12186358263/10973312*c_0101_4*c_0101_6^4 - 3737967997/10973312*c_0101_4*c_0101_6^3 + 1145017369/21946624*c_0101_4*c_0101_6^2 + 1174694053/21946624*c_0101_4*c_0101_6 + 242871597/21946624*c_0101_4, c_0101_0 - 198093691/21946624*c_0101_4*c_0101_6^13 - 730901047/21946624*c_0101_4*c_0101_6^12 + 428384021/3135232*c_0101_4*c_0101_6^11 + 16497386347/21946624*c_0101_4*c_0101_6^10 + 8375764231/21946624*c_0101_4*c_0101_6^9 - 2020573875/783808*c_0101_4*c_0101_6^8 - 88436897153/21946624*c_0101_4*c_0101_6^7 - 1513844121/685832*c_0101_4*c_0101_6^6 - 66738662105/21946624*c_0101_4*c_0101_6^5 - 32359040527/10973312*c_0101_4*c_0101_6^4 - 9564902565/10973312*c_0101_4*c_0101_6^3 + 2768828929/21946624*c_0101_4*c_0101_6^2 + 3128637485/21946624*c_0101_4*c_0101_6 + 623540725/21946624*c_0101_4, c_0101_1 - 2787891/783808*c_0101_6^13 - 9982027/783808*c_0101_6^12 + 43207155/783808*c_0101_6^11 + 227156903/783808*c_0101_6^10 + 94417615/783808*c_0101_6^9 - 99948379/97976*c_0101_6^8 - 1154880941/783808*c_0101_6^7 - 72645945/97976*c_0101_6^6 - 910190217/783808*c_0101_6^5 - 412175557/391904*c_0101_6^4 - 101701839/391904*c_0101_6^3 + 37332333/783808*c_0101_6^2 + 37918845/783808*c_0101_6 + 8135977/783808, c_0101_4^2 - 598695/783808*c_0101_6^13 - 15224059/5486656*c_0101_6^12 + 64211901/5486656*c_0101_6^11 + 345040763/5486656*c_0101_6^10 + 158863597/5486656*c_0101_6^9 - 599412715/2743328*c_0101_6^8 - 1796920045/5486656*c_0101_6^7 - 33647083/195952*c_0101_6^6 - 1405234447/5486656*c_0101_6^5 - 20842835/85729*c_0101_6^4 - 45581719/685832*c_0101_6^3 + 35416877/5486656*c_0101_6^2 + 41747899/5486656*c_0101_6 + 7749949/5486656, c_0101_6^14 + 4*c_0101_6^13 - 14*c_0101_6^12 - 88*c_0101_6^11 - 68*c_0101_6^10 + 273*c_0101_6^9 + 535*c_0101_6^8 + 381*c_0101_6^7 + 411*c_0101_6^6 + 431*c_0101_6^5 + 196*c_0101_6^4 + 15*c_0101_6^3 - 20*c_0101_6^2 - 8*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB