Magma V2.19-8 Tue Aug 20 2013 16:14:57 on localhost [Seed = 559988024] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s926 geometric_solution 5.77488893 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 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 -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 0.686752342394 0.975708229708 0 3 5 4 0132 0132 0132 0132 0 0 0 0 0 0 -1 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 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 0.579327639052 0.791812696135 3 0 4 5 2310 0132 3201 2310 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 1 -1 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 0.579327639052 0.791812696135 3 1 2 3 3201 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.142121923921 0.922217280866 2 4 1 4 2310 2310 0132 3201 0 0 0 0 0 1 -1 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 -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 0.961908164546 0.794396297863 2 5 5 1 3201 1230 3012 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 -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 0.560523968413 0.645433318055 ==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' : negation(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' : d['1'], 's_2_5' : 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_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_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 3983042466/1888481*c_0101_3^19 - 8524260798/1888481*c_0101_3^18 + 13890514934/1888481*c_0101_3^17 + 35006255168/1888481*c_0101_3^16 - 14427322226/1888481*c_0101_3^15 - 73864735179/1888481*c_0101_3^14 - 1279689095/1888481*c_0101_3^13 + 120105061654/1888481*c_0101_3^12 + 41549350364/1888481*c_0101_3^11 - 142822020379/1888481*c_0101_3^10 - 80254210762/1888481*c_0101_3^9 + 111356375785/1888481*c_0101_3^8 + 74452318639/1888481*c_0101_3^7 - 7388613523/269783*c_0101_3^6 - 38238314035/1888481*c_0101_3^5 + 1687648831/269783*c_0101_3^4 + 1501720820/269783*c_0101_3^3 - 466633507/1888481*c_0101_3^2 - 1161976612/1888481*c_0101_3 - 151952175/1888481, c_0011_0 - 1, c_0011_4 + 246537468/269783*c_0101_3^19 + 279196053/269783*c_0101_3^18 - 1345037192/269783*c_0101_3^17 - 1217123530/269783*c_0101_3^16 + 2895510819/269783*c_0101_3^15 + 3335742732/269783*c_0101_3^14 - 4292141401/269783*c_0101_3^13 - 6766460762/269783*c_0101_3^12 + 4764062754/269783*c_0101_3^11 + 10176620105/269783*c_0101_3^10 - 4117183870/269783*c_0101_3^9 - 10349385854/269783*c_0101_3^8 + 2872253301/269783*c_0101_3^7 + 6609111087/269783*c_0101_3^6 - 1416094269/269783*c_0101_3^5 - 2523734490/269783*c_0101_3^4 + 398046190/269783*c_0101_3^3 + 527239488/269783*c_0101_3^2 - 46214070/269783*c_0101_3 - 46217821/269783, c_0101_0 - 96173595/269783*c_0101_3^19 - 89644482/269783*c_0101_3^18 + 588891672/269783*c_0101_3^17 + 433792028/269783*c_0101_3^16 - 1410971065/269783*c_0101_3^15 - 1328044956/269783*c_0101_3^14 + 2241940612/269783*c_0101_3^13 + 2891874834/269783*c_0101_3^12 - 2735342401/269783*c_0101_3^11 - 4647517759/269783*c_0101_3^10 + 2606457707/269783*c_0101_3^9 + 5088727186/269783*c_0101_3^8 - 1925642174/269783*c_0101_3^7 - 3522720965/269783*c_0101_3^6 + 992790809/269783*c_0101_3^5 + 1460477804/269783*c_0101_3^4 - 294726039/269783*c_0101_3^3 - 331741369/269783*c_0101_3^2 + 36385259/269783*c_0101_3 + 31761135/269783, c_0101_1 - 161206542/269783*c_0101_3^19 - 106188555/269783*c_0101_3^18 + 1028460835/269783*c_0101_3^17 + 490440096/269783*c_0101_3^16 - 2529732976/269783*c_0101_3^15 - 1747696131/269783*c_0101_3^14 + 4231398328/269783*c_0101_3^13 + 4144934740/269783*c_0101_3^12 - 5547222077/269783*c_0101_3^11 - 6997314858/269783*c_0101_3^10 + 5784579455/269783*c_0101_3^9 + 7824961896/269783*c_0101_3^8 - 4543487604/269783*c_0101_3^7 - 5432283351/269783*c_0101_3^6 + 2363081014/269783*c_0101_3^5 + 2263006275/269783*c_0101_3^4 - 692824708/269783*c_0101_3^3 - 526620826/269783*c_0101_3^2 + 85074828/269783*c_0101_3 + 53296814/269783, c_0101_2 + 9*c_0101_3^19 + 15*c_0101_3^18 - 44*c_0101_3^17 - 71*c_0101_3^16 + 84*c_0101_3^15 + 180*c_0101_3^14 - 96*c_0101_3^13 - 336*c_0101_3^12 + 48*c_0101_3^11 + 475*c_0101_3^10 + 42*c_0101_3^9 - 474*c_0101_3^8 - 93*c_0101_3^7 + 313*c_0101_3^6 + 76*c_0101_3^5 - 129*c_0101_3^4 - 35*c_0101_3^3 + 30*c_0101_3^2 + 8*c_0101_3 - 3, c_0101_3^20 + 5/3*c_0101_3^19 - 44/9*c_0101_3^18 - 71/9*c_0101_3^17 + 28/3*c_0101_3^16 + 20*c_0101_3^15 - 32/3*c_0101_3^14 - 112/3*c_0101_3^13 + 16/3*c_0101_3^12 + 475/9*c_0101_3^11 + 14/3*c_0101_3^10 - 158/3*c_0101_3^9 - 31/3*c_0101_3^8 + 313/9*c_0101_3^7 + 76/9*c_0101_3^6 - 43/3*c_0101_3^5 - 35/9*c_0101_3^4 + 10/3*c_0101_3^3 + c_0101_3^2 - 1/3*c_0101_3 - 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB