Magma V2.19-8 Tue Aug 20 2013 23:49:06 on localhost [Seed = 2084181751] Type ? for help. Type -D to quit. Loading file "L12n1404__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1404 geometric_solution 11.69965217 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 -1 0 1 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 -4 1 3 4 0 0 -4 0 0 0 0 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583219751316 0.905991825580 0 5 6 2 0132 0132 0132 3012 1 1 0 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 0 0 -4 0 0 4 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.419073855100 0.910977639258 3 0 1 5 1230 0132 1230 0132 1 0 0 1 0 1 -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 4 -4 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.515744416359 0.873998399522 7 2 8 0 0132 3012 0132 0132 1 1 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 1 -1 0 0 0 0 1 0 0 -1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558220725935 0.814162791455 9 6 0 6 0132 1230 0132 0321 1 1 1 1 0 1 -1 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 3 -3 0 0 0 4 -4 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.497247501492 0.546253522006 8 1 2 7 1302 0132 0132 1302 1 0 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 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.427155369739 0.835491699924 10 4 4 1 0132 0321 3012 0132 1 1 1 1 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 0 0 0 0 3 0 -3 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.088702767375 1.001109752029 3 11 5 10 0132 0132 2031 2103 1 1 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 4 -3 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.407971427597 0.762611320823 11 5 9 3 0132 2031 2310 0132 1 1 0 0 0 0 0 0 -1 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 1 -1 -3 0 3 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.407971427597 0.762611320823 4 8 10 11 0132 3201 0213 2103 0 1 1 1 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 1 -1 0 0 0 0 0 -1 0 1 4 -3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.088702767375 1.001109752029 6 9 11 7 0132 0213 3120 2103 0 1 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 0 0 0 0 0 0 0 0 -1 0 1 -3 0 3 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 -0.087816791098 0.991110520696 8 7 10 9 0132 0132 3120 2103 1 1 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 0 1 -1 3 0 -3 0 0 -1 0 1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574974590982 1.269192651508 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_8'], 'c_1001_10' : negation(d['c_0101_8']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0110_5']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_6'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_8']), 'c_1001_8' : negation(d['c_0110_5']), 'c_1010_11' : negation(d['c_0110_5']), 'c_1010_10' : negation(d['c_0101_8']), 's_0_10' : d['1'], 's_3_10' : 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_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_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' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_8']), 'c_1100_8' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : negation(d['c_1001_2']), 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0101_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_1']), 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : d['c_0011_0'], '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_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' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_8'], 'c_0110_10' : d['c_0101_6'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], '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_0011_10'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_11'], '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_0011_11'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_1']})} 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_11, c_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_6, c_0101_8, c_0110_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 2917643679732161/248538293515360*c_1001_2^9 + 49425507254691179/1988306348122880*c_1001_2^8 + 2572334156674223/497076587030720*c_1001_2^7 - 2398762565946500113/39766126962457600*c_1001_2^6 + 1117728913655785189/39766126962457600*c_1001_2^5 + 1447846788612546011/19883063481228800*c_1001_2^4 - 678979945956717997/7953225392491520*c_1001_2^3 + 76253377521700697/3976612696245760*c_1001_2^2 + 13382242539654407/2485382935153600*c_1001_2 + 4119536520187157/1590645078498304, c_0011_0 - 1, c_0011_10 - 483676313596496/231451285836179*c_1001_2^9 + 711359192126158/231451285836179*c_1001_2^8 + 386008066416724/231451285836179*c_1001_2^7 - 19682921334469973/2314512858361790*c_1001_2^6 + 5507671576805039/2314512858361790*c_1001_2^5 + 9653219340990996/1157256429180895*c_1001_2^4 - 5085409202723321/462902571672358*c_1001_2^3 + 1192767703446647/231451285836179*c_1001_2^2 - 275163180215099/1157256429180895*c_1001_2 - 586972410510049/462902571672358, c_0011_11 + 2268491890309632/231451285836179*c_1001_2^9 - 4868332636582016/231451285836179*c_1001_2^8 + 115624656455752/231451285836179*c_1001_2^7 + 55142051467659608/1157256429180895*c_1001_2^6 - 41573334493831114/1157256429180895*c_1001_2^5 - 47403355712899192/1157256429180895*c_1001_2^4 + 18401126493625797/231451285836179*c_1001_2^3 - 10293866483942841/231451285836179*c_1001_2^2 + 10430616205196828/1157256429180895*c_1001_2 + 216944109613451/231451285836179, c_0011_4 - 330354258856720/231451285836179*c_1001_2^9 + 578432460237430/231451285836179*c_1001_2^8 + 249169942244920/231451285836179*c_1001_2^7 - 2958565841922837/462902571672358*c_1001_2^6 + 987262304588233/462902571672358*c_1001_2^5 + 1643640216641646/231451285836179*c_1001_2^4 - 3430379578344157/462902571672358*c_1001_2^3 + 689480947397245/231451285836179*c_1001_2^2 - 210821399062804/231451285836179*c_1001_2 + 111619115734953/462902571672358, c_0101_0 - 1, c_0101_1 - 1, c_0101_11 - 221587361581832/231451285836179*c_1001_2^9 + 546167850962491/231451285836179*c_1001_2^8 - 426247278111742/231451285836179*c_1001_2^7 - 17761604912596457/4629025716723580*c_1001_2^6 + 31310360958882331/4629025716723580*c_1001_2^5 - 2326155721986311/2314512858361790*c_1001_2^4 - 9798651453283605/925805143344716*c_1001_2^3 + 2730093822114222/231451285836179*c_1001_2^2 - 11634970237302291/2314512858361790*c_1001_2 - 875329322161533/925805143344716, c_0101_2 + 330354258856720/231451285836179*c_1001_2^9 - 578432460237430/231451285836179*c_1001_2^8 - 249169942244920/231451285836179*c_1001_2^7 + 2958565841922837/462902571672358*c_1001_2^6 - 987262304588233/462902571672358*c_1001_2^5 - 1643640216641646/231451285836179*c_1001_2^4 + 3430379578344157/462902571672358*c_1001_2^3 - 689480947397245/231451285836179*c_1001_2^2 + 442272684898983/231451285836179*c_1001_2 - 111619115734953/462902571672358, c_0101_6 - 330354258856720/231451285836179*c_1001_2^9 + 578432460237430/231451285836179*c_1001_2^8 + 249169942244920/231451285836179*c_1001_2^7 - 2958565841922837/462902571672358*c_1001_2^6 + 987262304588233/462902571672358*c_1001_2^5 + 1643640216641646/231451285836179*c_1001_2^4 - 3430379578344157/462902571672358*c_1001_2^3 + 689480947397245/231451285836179*c_1001_2^2 - 210821399062804/231451285836179*c_1001_2 + 111619115734953/462902571672358, c_0101_8 - 408952055880968/231451285836179*c_1001_2^9 + 679440000417259/231451285836179*c_1001_2^8 - 116916021822808/231451285836179*c_1001_2^7 - 23878210077894993/4629025716723580*c_1001_2^6 + 24998649154240369/4629025716723580*c_1001_2^5 + 1895392902572161/2314512858361790*c_1001_2^4 - 9645276978954569/925805143344716*c_1001_2^3 + 6201291794102467/462902571672358*c_1001_2^2 - 7878547530066042/1157256429180895*c_1001_2 + 20377713989705/925805143344716, c_0110_5 + 221587361581832/231451285836179*c_1001_2^9 - 546167850962491/231451285836179*c_1001_2^8 + 426247278111742/231451285836179*c_1001_2^7 + 17761604912596457/4629025716723580*c_1001_2^6 - 31310360958882331/4629025716723580*c_1001_2^5 + 2326155721986311/2314512858361790*c_1001_2^4 + 9798651453283605/925805143344716*c_1001_2^3 - 2730093822114222/231451285836179*c_1001_2^2 + 11634970237302291/2314512858361790*c_1001_2 + 875329322161533/925805143344716, c_1001_2^10 - 19/8*c_1001_2^9 + 3/8*c_1001_2^8 + 833/160*c_1001_2^7 - 377/80*c_1001_2^6 - 677/160*c_1001_2^5 + 307/32*c_1001_2^4 - 171/32*c_1001_2^3 + 49/80*c_1001_2^2 + 7/32*c_1001_2 + 5/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.360 seconds, Total memory usage: 32.09MB