Magma V2.19-8 Tue Aug 20 2013 23:52:20 on localhost [Seed = 4256929489] Type ? for help. Type -D to quit. Loading file "L13n2625__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2625 geometric_solution 10.93323530 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 3120 0 1 0 0 0 -1 0 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 0 0 0 0 1 0 -1 1 0 0 -1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.389404844885 0.815802556994 0 4 5 5 0132 0132 0213 0132 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 0 0 1 0 -2 0 2 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.352901800885 0.944130247158 0 0 4 6 3120 0132 2103 0132 0 1 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 0 0 -1 0 0 0 0 1 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.956107214166 0.769724690878 7 6 8 0 0132 0132 0132 0132 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 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 1.523471406206 0.998326678273 2 1 9 10 2103 0132 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 1 0 -1 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 0.262830087416 1.426589522453 8 1 1 7 0213 0213 0132 0213 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -2 1 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 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.493923599008 0.720645197662 9 3 2 10 2103 0132 0132 2103 0 1 1 0 0 0 1 -1 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 -1 1 0 0 1 -1 -5 -1 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.620556460929 0.457573456338 3 11 11 5 0132 0132 0321 0213 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 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 0.635221949801 0.560549058556 5 11 9 3 0213 2031 2103 0132 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 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.335787158210 0.461930401830 8 10 6 4 2103 0132 2103 0132 1 1 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 -5 5 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 0.232829088394 0.821132863966 11 9 4 6 3012 0132 0132 2103 1 1 0 0 0 -1 0 1 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 5 1 -6 -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 -0.409436668805 0.964305353118 8 7 7 10 1302 0132 0321 1230 1 0 0 1 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 -1 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 0 0 0.635221949801 0.560549058556 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_8']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_0_5' : 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_1100_9' : negation(d['c_0110_6']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1001_11'], 'c_1100_4' : negation(d['c_0110_6']), 'c_1100_7' : d['c_1001_11'], 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : d['c_1001_11'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0101_10']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_0110_6']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_1001_11'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_1'], 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_2']), '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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_11']), '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_0011_10'], 'c_0110_10' : d['c_0101_10'], 'c_0110_0' : d['c_0011_5'], 'c_0101_7' : d['c_0011_8'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0011_8'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0011_8'], 'c_0101_9' : d['c_0011_5'], 'c_0101_8' : d['c_0011_5'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0011_8'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0011_8'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0110_6']})} 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_5, c_0011_8, c_0101_10, c_0101_2, c_0101_3, c_0110_6, c_1001_0, c_1001_1, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 6262217100207/30185586649*c_1001_11^8 + 76797574373377/30185586649*c_1001_11^7 + 621358387710836/30185586649*c_1001_11^6 + 219419974127924/30185586649*c_1001_11^5 + 1542139019088081/30185586649*c_1001_11^4 + 297725371543344/30185586649*c_1001_11^3 + 157272930549135/30185586649*c_1001_11^2 - 11869171109825/30185586649*c_1001_11 + 20378610348302/30185586649, c_0011_0 - 1, c_0011_10 + 18681330336/30185586649*c_1001_11^8 + 227293086021/30185586649*c_1001_11^7 + 1831917047518/30185586649*c_1001_11^6 + 480867092052/30185586649*c_1001_11^5 + 4583394168119/30185586649*c_1001_11^4 + 461134975055/30185586649*c_1001_11^3 + 519473551067/30185586649*c_1001_11^2 - 53934483961/30185586649*c_1001_11 + 130099797533/30185586649, c_0011_11 + 1088150486/30185586649*c_1001_11^8 + 13427420336/30185586649*c_1001_11^7 + 108353706644/30185586649*c_1001_11^6 + 38703090759/30185586649*c_1001_11^5 + 209437956716/30185586649*c_1001_11^4 + 59113080556/30185586649*c_1001_11^3 - 130701137682/30185586649*c_1001_11^2 - 12769396450/30185586649*c_1001_11 + 5756935633/30185586649, c_0011_5 - 6235035436/30185586649*c_1001_11^8 - 76201628722/30185586649*c_1001_11^7 - 615064215362/30185586649*c_1001_11^6 - 187793529604/30185586649*c_1001_11^5 - 1488898176223/30185586649*c_1001_11^4 - 218990907877/30185586649*c_1001_11^3 - 54984196356/30185586649*c_1001_11^2 + 14905862280/30185586649*c_1001_11 - 32842366702/30185586649, c_0011_8 - 1, c_0101_10 - 4629739430/30185586649*c_1001_11^8 - 55503268243/30185586649*c_1001_11^7 - 443878603847/30185586649*c_1001_11^6 - 37625251285/30185586649*c_1001_11^5 - 1111403376449/30185586649*c_1001_11^4 + 62216717924/30185586649*c_1001_11^3 - 87805471728/30185586649*c_1001_11^2 - 30239431200/30185586649*c_1001_11 - 23573046291/30185586649, c_0101_2 - 2431469967/30185586649*c_1001_11^8 - 29415840157/30185586649*c_1001_11^7 - 236819257345/30185586649*c_1001_11^6 - 51327691949/30185586649*c_1001_11^5 - 633720032515/30185586649*c_1001_11^4 - 28577373986/30185586649*c_1001_11^3 - 152377633300/30185586649*c_1001_11^2 - 19169155909/30185586649*c_1001_11 - 13981896855/30185586649, c_0101_3 + 1767358291/30185586649*c_1001_11^8 + 21526376002/30185586649*c_1001_11^7 + 173150460475/30185586649*c_1001_11^6 + 42343965428/30185586649*c_1001_11^5 + 390153285150/30185586649*c_1001_11^4 + 30928865710/30185586649*c_1001_11^3 - 70506912056/30185586649*c_1001_11^2 - 8652279552/30185586649*c_1001_11 - 1943528613/30185586649, c_0110_6 + 1364859827/30185586649*c_1001_11^8 + 17192450771/30185586649*c_1001_11^7 + 140712615514/30185586649*c_1001_11^6 + 89550730871/30185586649*c_1001_11^5 + 325712886686/30185586649*c_1001_11^4 + 182492007195/30185586649*c_1001_11^3 + 3332751053/30185586649*c_1001_11^2 + 10136850529/30185586649*c_1001_11 - 3001030765/30185586649, c_1001_0 + 8404100733/30185586649*c_1001_11^8 + 102878971757/30185586649*c_1001_11^7 + 831058543492/30185586649*c_1001_11^6 + 269612296287/30185586649*c_1001_11^5 + 2012028865148/30185586649*c_1001_11^4 + 357872916279/30185586649*c_1001_11^3 + 46685742289/30185586649*c_1001_11^2 + 22936369447/30185586649*c_1001_11 - 23894539087/30185586649, c_1001_1 - 2686210817/30185586649*c_1001_11^8 - 33948283178/30185586649*c_1001_11^7 - 278826233001/30185586649*c_1001_11^6 - 193283954243/30185586649*c_1001_11^5 - 691187531983/30185586649*c_1001_11^4 - 360976553647/30185586649*c_1001_11^3 - 89581408243/30185586649*c_1001_11^2 + 24719251952/30185586649*c_1001_11 - 7146652287/30185586649, c_1001_11^9 + 12*c_1001_11^8 + 96*c_1001_11^7 + 9*c_1001_11^6 + 238*c_1001_11^5 - 17*c_1001_11^4 + 15*c_1001_11^3 - 8*c_1001_11^2 + 4*c_1001_11 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB