Magma V2.19-8 Tue Aug 20 2013 23:47:43 on localhost [Seed = 1966284580] Type ? for help. Type -D to quit. Loading file "L11n112__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n112 geometric_solution 11.12854463 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 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 0.192516208993 0.983148122648 0 5 7 6 0132 0132 0132 0132 1 0 1 1 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 1 0 -1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.387005293406 0.797603818804 8 0 9 5 0132 0132 0132 0132 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 -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 0.850054287072 0.998991164727 10 6 7 0 0132 0132 3120 0132 1 0 1 1 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 0 0 0 0 0 -1 1 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526288515583 0.462785142598 11 8 0 5 0132 3120 0132 3120 1 0 1 1 0 0 0 0 -1 0 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 1 -1 1 0 -1 0 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.736684648461 0.548494537300 4 1 2 10 3120 0132 0132 2103 1 0 1 1 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 -1 1 0 0 0 0 -3 3 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.602572361116 0.829864218093 10 3 1 9 2103 0132 0132 0132 1 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 0 0 0 0 0 0 -2 2 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.846716095445 0.589943847877 8 9 3 1 2103 3120 3120 0132 1 0 1 1 0 0 0 0 1 0 -1 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 -1 0 1 0 1 2 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.646332725722 0.606513207298 2 4 7 11 0132 3120 2103 2103 1 0 1 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 0 0 0 0 0 -1 1 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 0.334192156248 0.384244171012 11 7 6 2 2103 3120 0132 0132 1 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 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.573128342112 0.325029519446 3 11 6 5 0132 0132 2103 2103 1 0 1 1 0 -1 1 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 -2 2 0 0 0 0 0 -2 3 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.670016580283 1.342740932460 4 10 9 8 0132 0132 2103 2103 1 0 1 1 0 1 -1 0 1 0 0 -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 2 -2 0 -1 0 0 1 0 1 0 -1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.355657349585 0.740845956219 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_9'], 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : negation(d['c_1001_3']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_1001_3'], 'c_1001_8' : d['c_0011_7'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_0011_9'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], '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_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' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_0101_3']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_2']), 'c_1100_10' : negation(d['c_0101_11']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0101_1']), 's_3_1' : d['1'], 's_3_0' : negation(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_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_3'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], '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_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_5'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_11']})} 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_7, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0101_5, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 659164442799861/302023578621700*c_1001_3^7 - 4343325530925/1421287428808*c_1001_3^6 + 1288668723210471/302023578621700*c_1001_3^5 - 1778584991826147/604047157243400*c_1001_3^4 + 117534590619939/15101178931085*c_1001_3^3 - 1022589648310067/302023578621700*c_1001_3^2 + 645835369999471/75505894655425*c_1001_3 - 435061499823541/302023578621700, c_0011_0 - 1, c_0011_10 + 2135970263/5220805162*c_1001_3^7 - 178673625/307106186*c_1001_3^6 + 4758648399/5220805162*c_1001_3^5 - 861944473/2610402581*c_1001_3^4 + 3577471267/2610402581*c_1001_3^3 - 1914126694/2610402581*c_1001_3^2 + 4815704737/2610402581*c_1001_3 - 614579373/2610402581, c_0011_7 + 1623611893/5220805162*c_1001_3^7 - 31093655/153553093*c_1001_3^6 + 92316828/2610402581*c_1001_3^5 + 2035634815/5220805162*c_1001_3^4 + 449406041/2610402581*c_1001_3^3 + 1267625682/2610402581*c_1001_3^2 + 1746035680/2610402581*c_1001_3 + 3357990635/2610402581, c_0011_9 + 1437035202/2610402581*c_1001_3^7 - 275024081/307106186*c_1001_3^6 + 5976218935/5220805162*c_1001_3^5 - 3242128609/5220805162*c_1001_3^4 + 6260046875/2610402581*c_1001_3^3 - 3005717409/2610402581*c_1001_3^2 + 6279762824/2610402581*c_1001_3 - 527755907/2610402581, c_0101_0 - 1, c_0101_1 + 296711673/5220805162*c_1001_3^7 - 121409232/153553093*c_1001_3^6 + 2349145339/2610402581*c_1001_3^5 - 5352539535/5220805162*c_1001_3^4 + 411971819/2610402581*c_1001_3^3 - 4221274611/2610402581*c_1001_3^2 + 1352470165/2610402581*c_1001_3 - 3992263584/2610402581, c_0101_11 + 1623611893/5220805162*c_1001_3^7 - 31093655/153553093*c_1001_3^6 + 92316828/2610402581*c_1001_3^5 + 2035634815/5220805162*c_1001_3^4 + 449406041/2610402581*c_1001_3^3 + 1267625682/2610402581*c_1001_3^2 - 864366901/2610402581*c_1001_3 + 747588054/2610402581, c_0101_2 - 281699475/5220805162*c_1001_3^7 + 228552269/307106186*c_1001_3^6 - 4239184961/5220805162*c_1001_3^5 + 2970789376/2610402581*c_1001_3^4 - 2141760252/2610402581*c_1001_3^3 + 8364008186/2610402581*c_1001_3^2 - 4182136747/2610402581*c_1001_3 + 5937682281/2610402581, c_0101_3 - 1, c_0101_5 + 4497682297/5220805162*c_1001_3^7 - 337211391/307106186*c_1001_3^6 + 6160852591/5220805162*c_1001_3^5 - 603246897/2610402581*c_1001_3^4 + 6709452916/2610402581*c_1001_3^3 - 1738091727/2610402581*c_1001_3^2 + 8025798504/2610402581*c_1001_3 + 219832147/2610402581, c_1001_0 - 479166971/2610402581*c_1001_3^7 + 183445691/307106186*c_1001_3^6 - 4275099495/5220805162*c_1001_3^5 + 5315702405/5220805162*c_1001_3^4 - 2331371405/2610402581*c_1001_3^3 + 4727443474/2610402581*c_1001_3^2 - 3581937103/2610402581*c_1001_3 + 3338228602/2610402581, c_1001_3^8 - 36/29*c_1001_3^7 + 59/29*c_1001_3^6 - 40/29*c_1001_3^5 + 111/29*c_1001_3^4 - 38/29*c_1001_3^3 + 138/29*c_1001_3^2 - 8/29*c_1001_3 + 26/29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB