Magma V2.19-8 Tue Aug 20 2013 16:15:56 on localhost [Seed = 2614757287] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0169 geometric_solution 3.94403496 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 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 -1 0 1 0 0 -1 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.737595707659 0.114803169869 2 0 3 0 0132 2310 0132 0132 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 0 0 0 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.938714936797 0.091222614121 1 4 3 5 0132 0132 3012 0132 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 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 0.679532902075 0.250618820667 5 2 6 1 0132 1230 0132 0132 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 -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 0.679532902075 0.250618820667 6 2 6 5 2103 0132 1302 2031 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 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 1.492374130065 0.904647210281 3 4 2 6 0132 1302 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.416484466168 2.497193533206 4 5 4 3 2031 1302 2103 0132 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 -1 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.492374130065 0.904647210281 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : 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_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_1']), 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : negation(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' : negation(d['c_1001_3']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : 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_1'], 'c_0011_6' : d['c_0011_6'], '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_0011_1'], 'c_1001_4' : d['c_0011_1'], 'c_1001_6' : d['c_0011_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_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' : d['c_0011_1'], 'c_0110_4' : d['c_0011_1'], 'c_0110_6' : d['c_0011_1'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : 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_0011_6, c_0101_0, c_0101_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 26811491232387/400563568922*c_1001_3^10 + 105753793151637/400563568922*c_1001_3^9 + 193147159977383/400563568922*c_1001_3^8 - 1784971447900987/400563568922*c_1001_3^7 + 785129532662586/200281784461*c_1001_3^6 + 19306975899949/200281784461*c_1001_3^5 - 5592052882976337/400563568922*c_1001_3^4 - 4734885815298785/400563568922*c_1001_3^3 - 883387968840040/200281784461*c_1001_3^2 - 19698981624897/36414869902*c_1001_3 + 17841968453631/200281784461, c_0011_0 - 1, c_0011_1 + 1319177329/18207434951*c_1001_3^10 - 4631755187/18207434951*c_1001_3^9 - 12456118915/18207434951*c_1001_3^8 + 86823725260/18207434951*c_1001_3^7 - 35951469275/18207434951*c_1001_3^6 - 82907443252/18207434951*c_1001_3^5 + 340922684563/18207434951*c_1001_3^4 + 307217928157/18207434951*c_1001_3^3 + 77444891604/18207434951*c_1001_3^2 - 12102544707/18207434951*c_1001_3 - 19641431419/18207434951, c_0011_3 + c_1001_3, c_0011_6 + 1491999723/18207434951*c_1001_3^10 - 8393897208/18207434951*c_1001_3^9 + 712825142/18207434951*c_1001_3^8 + 110485904063/18207434951*c_1001_3^7 - 262413376770/18207434951*c_1001_3^6 + 252589539046/18207434951*c_1001_3^5 + 172563870563/18207434951*c_1001_3^4 - 192689432975/18207434951*c_1001_3^3 - 64717102789/18207434951*c_1001_3^2 - 19698297497/18207434951*c_1001_3 + 17507370600/18207434951, c_0101_0 - 396490095/18207434951*c_1001_3^10 + 2491035589/18207434951*c_1001_3^9 - 1455854318/18207434951*c_1001_3^8 - 30472122947/18207434951*c_1001_3^7 + 89720636189/18207434951*c_1001_3^6 - 98106141991/18207434951*c_1001_3^5 - 44319919086/18207434951*c_1001_3^4 + 130943812297/18207434951*c_1001_3^3 - 19178705644/18207434951*c_1001_3^2 - 24753789565/18207434951*c_1001_3 - 10064884048/18207434951, c_0101_1 - 4159177765/18207434951*c_1001_3^10 + 16189048594/18207434951*c_1001_3^9 + 31526873870/18207434951*c_1001_3^8 - 278418594165/18207434951*c_1001_3^7 + 225290825977/18207434951*c_1001_3^6 + 67288344985/18207434951*c_1001_3^5 - 927636607308/18207434951*c_1001_3^4 - 755298165403/18207434951*c_1001_3^3 - 174561377551/18207434951*c_1001_3^2 + 39316143362/18207434951*c_1001_3 + 22170937515/18207434951, c_1001_3^11 - 4*c_1001_3^10 - 7*c_1001_3^9 + 67*c_1001_3^8 - 62*c_1001_3^7 + c_1001_3^6 + 207*c_1001_3^5 + 168*c_1001_3^4 + 52*c_1001_3^3 - 6*c_1001_3^2 - 7*c_1001_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB