Magma V2.19-8 Tue Aug 20 2013 16:16:04 on localhost [Seed = 2715827552] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0316 geometric_solution 4.35134673 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 1230 3012 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 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 -0.318747570182 0.068631066777 0 0 2 2 0132 2310 2310 0132 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 -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 2.242030311886 0.606216385975 3 1 1 3 0132 3201 0132 1023 0 0 0 0 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 1 0 -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 1.232148925587 0.604149746583 2 4 5 2 0132 0132 0132 1023 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 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 0.256413563387 0.289675160724 6 3 5 5 0132 0132 3201 2031 0 0 0 0 0 0 0 0 -1 0 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 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 0.125756071722 0.829720276215 4 4 6 3 2310 1302 2310 0132 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 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 0.125756071722 0.829720276215 4 5 6 6 0132 3201 1230 3012 0 0 0 0 0 0 1 -1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.821432710758 1.178161010631 ==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_0101_3']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : negation(d['c_0101_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_2'], 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_2, c_0011_5, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 312682554371504084343/2075791005666867709*c_0101_6^23 - 20612531341326976723059/2075791005666867709*c_0101_6^21 + 289182571344542478994156/2075791005666867709*c_0101_6^19 - 580443423817194286197099/2075791005666867709*c_0101_6^17 - 719902609667951304406871/2075791005666867709*c_0101_6^15 + 574002373183342452012025/2075791005666867709*c_0101_6^13 + 1029216814653682900202167/2075791005666867709*c_0101_6^11 + 358445903321287271947638/2075791005666867709*c_0101_6^9 - 104620669106597790228656/2075791005666867709*c_0101_6^7 - 108407321357763318050968/2075791005666867709*c_0101_6^5 - 29366198955825852944946/2075791005666867709*c_0101_6^3 - 2981427895362327698003/2075791005666867709*c_0101_6, c_0011_0 - 1, c_0011_2 + 1690611363800970350/2075791005666867709*c_0101_6^22 - 111912880743602173768/2075791005666867709*c_0101_6^20 + 1594069783723717282133/2075791005666867709*c_0101_6^18 - 3558915046780089789181/2075791005666867709*c_0101_6^16 - 3175673323350442411258/2075791005666867709*c_0101_6^14 + 4668549536137837180426/2075791005666867709*c_0101_6^12 + 4428411768962697976183/2075791005666867709*c_0101_6^10 + 10140248775322889356/2075791005666867709*c_0101_6^8 - 942722974736993457982/2075791005666867709*c_0101_6^6 - 253559514562649883468/2075791005666867709*c_0101_6^4 - 4680152508429191077/2075791005666867709*c_0101_6^2 + 3361404076422730507/2075791005666867709, c_0011_5 - 4315073622380705158/2075791005666867709*c_0101_6^23 + 285924889906484153619/2075791005666867709*c_0101_6^21 - 4087877762028093244061/2075791005666867709*c_0101_6^19 + 9388759590845433586548/2075791005666867709*c_0101_6^17 + 6918213071998723908959/2075791005666867709*c_0101_6^15 - 10674637997053567116790/2075791005666867709*c_0101_6^13 - 10900445661086628209529/2075791005666867709*c_0101_6^11 - 797030405287874207104/2075791005666867709*c_0101_6^9 + 2219569447470225053762/2075791005666867709*c_0101_6^7 + 817550256954837396953/2075791005666867709*c_0101_6^5 + 40563670473052900502/2075791005666867709*c_0101_6^3 - 13844982860516930410/2075791005666867709*c_0101_6, c_0101_0 + 231820743944511830/2075791005666867709*c_0101_6^23 - 15305462293844566232/2075791005666867709*c_0101_6^21 + 215968451825198062674/2075791005666867709*c_0101_6^19 - 453596986540999168671/2075791005666867709*c_0101_6^17 - 467238472131668914103/2075791005666867709*c_0101_6^15 + 415455239564172670957/2075791005666867709*c_0101_6^13 + 725248217306821419040/2075791005666867709*c_0101_6^11 + 227404227613839954879/2075791005666867709*c_0101_6^9 - 67610054726541389963/2075791005666867709*c_0101_6^7 - 79750414579137067241/2075791005666867709*c_0101_6^5 - 16756729039302663009/2075791005666867709*c_0101_6^3 - 688021478045102200/2075791005666867709*c_0101_6, c_0101_1 + 494354450760366843/2075791005666867709*c_0101_6^22 - 33003632541179242661/2075791005666867709*c_0101_6^20 + 484844815737549692163/2075791005666867709*c_0101_6^18 - 1320579337167805999153/2075791005666867709*c_0101_6^16 - 90136725978747750157/2075791005666867709*c_0101_6^14 + 1147779249716025372188/2075791005666867709*c_0101_6^12 + 670823975481434397947/2075791005666867709*c_0101_6^10 - 118483162882142484676/2075791005666867709*c_0101_6^8 - 162985826549692324188/2075791005666867709*c_0101_6^6 - 30425310366246980253/2075791005666867709*c_0101_6^4 + 1569585225531907766/2075791005666867709*c_0101_6^2 - 1231500151196653216/2075791005666867709, c_0101_3 + 1566911201405303507/2075791005666867709*c_0101_6^22 - 104063359975980657207/2075791005666867709*c_0101_6^20 + 1500078745656194545176/2075791005666867709*c_0101_6^18 - 3631770043634290029051/2075791005666867709*c_0101_6^16 - 2028457136931749616813/2075791005666867709*c_0101_6^14 + 4394267003426860195035/2075791005666867709*c_0101_6^12 + 3190797449113477270932/2075791005666867709*c_0101_6^10 - 343052660759902338100/2075791005666867709*c_0101_6^8 - 723988190881861689336/2075791005666867709*c_0101_6^6 - 142596956091695806868/2075791005666867709*c_0101_6^4 + 5787494224059796285/2075791005666867709*c_0101_6^2 + 2045320009551135523/2075791005666867709, c_0101_6^24 - 66*c_0101_6^22 + 930*c_0101_6^20 - 1928*c_0101_6^18 - 2169*c_0101_6^16 + 2045*c_0101_6^14 + 3166*c_0101_6^12 + 856*c_0101_6^10 - 454*c_0101_6^8 - 322*c_0101_6^6 - 61*c_0101_6^4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB