Magma V2.19-8 Tue Aug 20 2013 23:40:56 on localhost [Seed = 1074144423] Type ? for help. Type -D to quit. Loading file "K12n443__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n443 geometric_solution 11.29109129 oriented_manifold CS_known 0.0000000000000008 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 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 0.416231660916 0.879256766909 0 3 6 5 0132 1230 0132 0132 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 -1 0 1 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524086455332 0.789365457913 6 0 8 7 0132 0132 0132 0132 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 0.524086455332 0.789365457913 9 10 1 0 0132 0132 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 -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 -1 1 0 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 0.861366321127 0.587862033016 8 11 0 7 0132 0132 0132 0213 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 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 0.534269017570 0.497404339530 9 10 1 8 2103 1023 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.876443651164 0.477365037811 2 10 11 1 0132 1302 0321 0132 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 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 0.649792687570 0.809112035041 9 10 2 4 3012 0213 0132 0213 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 0.586371388813 0.595634604449 4 11 5 2 0132 0321 0132 0132 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 0.787656360292 0.574203667318 3 11 5 7 0132 3012 2103 1230 0 0 0 0 0 -1 1 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 -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 1.084349245448 1.079339959076 5 3 7 6 1023 0132 0213 2031 0 0 0 0 0 0 0 0 0 0 0 0 -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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.756054626358 0.464773079004 9 4 6 8 1230 0132 0321 0321 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.732931914752 1.379818430189 ==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_0'], 'c_1001_5' : d['c_0011_7'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0110_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0110_10'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_0011_0'], '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_0011_7'], '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_0011_11' : negation(d['c_0011_10']), 'c_1100_8' : d['c_1001_11'], 'c_1100_5' : d['c_1001_11'], 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : d['c_1001_11'], 'c_1100_6' : d['c_1001_11'], 'c_1100_1' : d['c_1001_11'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : d['c_1001_11'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_8']), 'c_1100_11' : d['c_0110_10'], 'c_1100_10' : negation(d['c_1001_1']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_1']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0110_10'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_7'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : d['c_1001_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' : 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' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_0011_10'], 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : negation(d['c_0101_11']), 'c_0101_6' : negation(d['c_0101_11']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_7'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], '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_0011_7'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_11']), 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : negation(d['c_0101_8']), '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_7, c_0101_0, c_0101_1, c_0101_11, c_0101_8, c_0110_10, c_1001_0, c_1001_1, c_1001_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 232476968/4961925*c_1001_2^8 - 670999307/4961925*c_1001_2^7 - 202354522/1653975*c_1001_2^6 + 1582142009/4961925*c_1001_2^5 + 1818187718/1653975*c_1001_2^4 - 215896586/183775*c_1001_2^3 + 1626370121/1653975*c_1001_2^2 - 329378873/992385*c_1001_2 + 541991254/4961925, c_0011_0 - 1, c_0011_10 + 4809/7351*c_1001_2^8 - 9426/7351*c_1001_2^7 - 25045/7351*c_1001_2^6 + 19034/7351*c_1001_2^5 + 143940/7351*c_1001_2^4 - 9446/7351*c_1001_2^3 - 2436/7351*c_1001_2^2 + 23101/7351*c_1001_2 - 10530/7351, c_0011_7 - 1779/7351*c_1001_2^8 + 6509/7351*c_1001_2^7 + 4858/7351*c_1001_2^6 - 25765/7351*c_1001_2^5 - 49483/7351*c_1001_2^4 + 100080/7351*c_1001_2^3 + 41123/7351*c_1001_2^2 - 11765/7351*c_1001_2 + 17107/7351, c_0101_0 + 1, c_0101_1 + 1858/7351*c_1001_2^8 - 5389/7351*c_1001_2^7 - 6396/7351*c_1001_2^6 + 16926/7351*c_1001_2^5 + 49197/7351*c_1001_2^4 - 55906/7351*c_1001_2^3 - 3124/7351*c_1001_2^2 + 9552/7351*c_1001_2 - 12309/7351, c_0101_11 - 9846/7351*c_1001_2^8 + 16364/7351*c_1001_2^7 + 56762/7351*c_1001_2^6 - 23631/7351*c_1001_2^5 - 304362/7351*c_1001_2^4 - 69051/7351*c_1001_2^3 + 5469/7351*c_1001_2^2 - 52470/7351*c_1001_2 - 1255/7351, c_0101_8 + 12000/7351*c_1001_2^8 - 18394/7351*c_1001_2^7 - 71433/7351*c_1001_2^6 + 18977/7351*c_1001_2^5 + 373796/7351*c_1001_2^4 + 133249/7351*c_1001_2^3 + 8816/7351*c_1001_2^2 + 60616/7351*c_1001_2 + 4504/7351, c_0110_10 + 2655/7351*c_1001_2^8 - 7396/7351*c_1001_2^7 - 10374/7351*c_1001_2^6 + 23688/7351*c_1001_2^5 + 74506/7351*c_1001_2^4 - 73644/7351*c_1001_2^3 - 24072/7351*c_1001_2^2 + 22306/7351*c_1001_2 - 13779/7351, c_1001_0 + 1779/7351*c_1001_2^8 - 6509/7351*c_1001_2^7 - 4858/7351*c_1001_2^6 + 25765/7351*c_1001_2^5 + 49483/7351*c_1001_2^4 - 100080/7351*c_1001_2^3 - 41123/7351*c_1001_2^2 + 11765/7351*c_1001_2 - 17107/7351, c_1001_1 + 3328/7351*c_1001_2^8 - 7532/7351*c_1001_2^7 - 15753/7351*c_1001_2^6 + 18828/7351*c_1001_2^5 + 98589/7351*c_1001_2^4 - 35007/7351*c_1001_2^3 - 16452/7351*c_1001_2^2 + 6245/7351*c_1001_2 - 9846/7351, c_1001_11 + c_1001_2, c_1001_2^9 - 2*c_1001_2^8 - 5*c_1001_2^7 + 4*c_1001_2^6 + 29*c_1001_2^5 - 3*c_1001_2^4 + 3*c_1001_2^3 + 7*c_1001_2^2 - 2*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.290 Total time: 1.510 seconds, Total memory usage: 64.12MB