Magma V2.19-8 Wed Aug 21 2013 00:54:44 on localhost [Seed = 2816589292] Type ? for help. Type -D to quit. Loading file "L12n582__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n582 geometric_solution 11.85554320 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 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 0.272035401737 1.718139580408 0 5 7 6 0132 0132 0132 0132 0 1 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 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 0.188559605320 0.438104779262 8 0 3 4 0132 0132 2310 3201 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 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 0.346158017170 0.497800573960 9 2 9 0 0132 3201 3012 0132 1 1 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552521120517 0.652816613511 8 2 0 10 3012 2310 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 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 0.606392029338 0.578096110129 8 1 6 11 1023 0132 0132 0132 0 1 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 0 0 0 0 0 0 0 1 -1 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 1.171132039458 1.925815522758 9 10 1 5 2103 2310 0132 0132 0 1 1 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 -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 0.538953044311 0.758147974842 12 10 11 1 0132 2031 0132 0132 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 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 -0.009959644610 1.165422809919 2 5 12 4 0132 1023 2310 1230 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 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 -0.128872702855 0.872459254324 3 3 6 12 0132 1230 2103 0213 1 1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.714358182948 1.042160672176 7 11 4 6 1302 2103 0132 3201 1 1 0 1 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.153229138415 0.996773587556 12 10 5 7 2103 2103 0132 0132 0 1 1 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 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.007332382245 0.857995024268 7 8 11 9 0132 3201 2103 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 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 1.153229138415 0.996773587556 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : negation(d['c_0110_10']), 'c_1001_4' : negation(d['c_1001_0']), 'c_1001_7' : negation(d['c_0110_10']), 'c_1001_6' : negation(d['c_0110_10']), 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : negation(d['c_1001_0']), 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : negation(d['c_0101_5']), 'c_1010_11' : negation(d['c_0110_10']), 'c_1010_10' : d['c_0110_10'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0011_12'], '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_12' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_5']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0011_6']), 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : d['c_0011_3'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_0011_6']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0110_10']), 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0110_10']), 'c_1010_0' : negation(d['c_1001_0']), 'c_1010_9' : d['c_0101_3'], 'c_1010_8' : d['c_0101_1'], 'c_1100_8' : d['c_0011_12'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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'], 'c_1100_12' : d['c_0101_3'], '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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_3']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0101_3']), 'c_0101_12' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_3']), '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' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_11']), 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_12'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0110_10, c_1001_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 169473202731358792/37642573366861*c_1001_0^3*c_1100_1 + 78343378531566024/37642573366861*c_1001_0^3 - 187472250340556428/37642573366861*c_1001_0^2*c_1100_1 - 10982229868665284/37642573366861*c_1001_0^2 + 144151479733624921/37642573366861*c_1001_0*c_1100_1 - 59918017464571083/37642573366861*c_1001_0 - 21435662632998597/37642573366861*c_1100_1 + 30448590205400198/37642573366861, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 1212/365*c_1001_0^3*c_1100_1 - 564/365*c_1001_0^3 - 494/365*c_1001_0^2*c_1100_1 + 678/365*c_1001_0^2 + 422/365*c_1001_0*c_1100_1 - 724/365*c_1001_0 - 108/365*c_1100_1 - 69/365, c_0011_12 - 12008/1825*c_1001_0^3*c_1100_1 + 1656/1825*c_1001_0^3 + 10956/1825*c_1001_0^2*c_1100_1 - 3342/1825*c_1001_0^2 - 6318/1825*c_1001_0*c_1100_1 + 4176/1825*c_1001_0 + 2212/1825*c_1100_1 - 209/1825, c_0011_3 + 1062/365*c_1001_0^3*c_1100_1 + 1226/365*c_1001_0^3 - 834/365*c_1001_0^2*c_1100_1 - 837/365*c_1001_0^2 + 742/365*c_1001_0*c_1100_1 + 251/365*c_1001_0 - 138/365*c_1100_1 - 149/365, c_0011_6 - 3072/1825*c_1001_0^3*c_1100_1 + 2904/1825*c_1001_0^3 + 804/1825*c_1001_0^2*c_1100_1 - 2528/1825*c_1001_0^2 + 188/1825*c_1001_0*c_1100_1 + 2959/1825*c_1001_0 + 758/1825*c_1100_1 - 631/1825, c_0101_0 - 582/1825*c_1001_0^3*c_1100_1 + 2974/1825*c_1001_0^3 + 24/1825*c_1001_0^2*c_1100_1 - 4243/1825*c_1001_0^2 + 278/1825*c_1001_0*c_1100_1 + 2104/1825*c_1001_0 + 1548/1825*c_1100_1 - 836/1825, c_0101_1 + 44/25*c_1001_0^3*c_1100_1 - 108/25*c_1001_0^3 - 58/25*c_1001_0^2*c_1100_1 + 56/25*c_1001_0^2 + 24/25*c_1001_0*c_1100_1 - 68/25*c_1001_0 - 16/25*c_1100_1 + 12/25, c_0101_3 + 2238/1825*c_1001_0^3*c_1100_1 + 9034/1825*c_1001_0^3 - 3366/1825*c_1001_0^2*c_1100_1 - 6713/1825*c_1001_0^2 + 3898/1825*c_1001_0*c_1100_1 + 4214/1825*c_1001_0 + 68/1825*c_1100_1 - 1376/1825, c_0101_5 + 582/1825*c_1001_0^3*c_1100_1 - 2974/1825*c_1001_0^3 - 24/1825*c_1001_0^2*c_1100_1 + 4243/1825*c_1001_0^2 - 278/1825*c_1001_0*c_1100_1 - 2104/1825*c_1001_0 + 2102/1825*c_1100_1 + 836/1825, c_0110_10 - 297/73*c_1001_0^3*c_1100_1 - 427/73*c_1001_0^3 + 232/73*c_1001_0^2*c_1100_1 + 775/146*c_1001_0^2 - 257/73*c_1001_0*c_1100_1 - 373/146*c_1001_0 + 71/146*c_1100_1 + 165/146, c_1001_0^4 + 19/68*c_1001_0^3*c_1100_1 - 77/68*c_1001_0^3 + 3/34*c_1001_0^2*c_1100_1 + 29/34*c_1001_0^2 + 5/68*c_1001_0*c_1100_1 - 31/68*c_1001_0 - 3/68*c_1100_1 + 5/68, c_1100_1^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.380 seconds, Total memory usage: 32.09MB