Magma V2.19-8 Tue Aug 20 2013 23:49:13 on localhost [Seed = 1646528741] Type ? for help. Type -D to quit. Loading file "L12n1483__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1483 geometric_solution 10.07007854 oriented_manifold CS_known 0.0000000000000000 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 2 2 2 2 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 -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 1.271725791974 0.907005914851 0 5 2 6 0132 0132 2031 0132 2 2 2 2 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 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 1.170481967454 0.250200678195 7 0 4 1 0132 0132 2031 1302 2 2 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 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0.478789416838 0.371731929001 8 5 9 0 0132 2031 0132 0132 2 2 2 1 0 0 0 0 0 0 -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 -1 1 0 0 0 0 1 0 0 -1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.278137050026 0.782433871404 4 4 0 2 1230 3012 0132 1302 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.809450352586 1.085019175746 3 1 10 11 1302 0132 0132 0132 2 1 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 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 0 0 0 0.636962880032 0.690409907008 8 10 1 7 2103 0132 0132 3201 2 2 0 2 0 -1 0 1 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 -1 0 1 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 0.636962880032 0.690409907008 2 6 11 9 0132 2310 2310 3012 0 2 2 2 0 1 0 -1 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 1 -1 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 0.636962880032 0.690409907008 3 9 6 10 0132 3120 2103 3012 0 2 1 2 0 0 0 0 0 0 -1 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 0 -1 1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.962737397019 0.437478690570 11 8 7 3 3012 3120 1230 0132 2 2 1 0 0 0 0 0 -1 0 0 1 -1 0 0 1 -1 0 1 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 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.037262602981 0.437478690570 11 6 8 5 0132 0132 1230 0132 2 1 2 0 0 1 -1 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 1 -1 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 1.193294717378 2.269361587408 10 7 5 9 0132 3201 0132 1230 2 1 0 2 0 -1 0 1 -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 0 0 -1 0 -1 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.139068525013 0.391216935702 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_7']), 'c_1001_10' : d['c_0101_9'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_7' : negation(d['c_0101_9']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : negation(d['c_0011_4']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : d['c_1001_5'], 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_3']), 'c_0101_10' : d['c_0011_9'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : negation(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' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(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' : negation(d['c_0101_9']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_1'], 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_0101_3'], 'c_1100_10' : d['c_0101_3'], 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0101_9']), 'c_1010_6' : d['c_0101_9'], 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_4']), 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : negation(d['c_0011_9']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : negation(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' : 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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_9'], 'c_0110_10' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), '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_9'], 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_2'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0011_4'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_9']})} 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_3, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_7, c_0101_9, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 9699244821338891/113945962336063052800*c_1001_5^5 - 1240447912207791/10358723848733004800*c_1001_5^4 + 26808938869549181/113945962336063052800*c_1001_5^3 + 77253256253171579/7121622646003940800*c_1001_5^2 + 56674283525364129/10358723848733004800*c_1001_5 - 4533970792194293341/113945962336063052800, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 - 1, c_0011_4 - 144213/19804103*c_1001_5^5 + 29932/1800373*c_1001_5^4 - 1006267/19804103*c_1001_5^3 - 16052338/19804103*c_1001_5^2 - 4260/1800373*c_1001_5 + 59167124/19804103, c_0011_9 + 144213/39608206*c_1001_5^5 - 14966/1800373*c_1001_5^4 + 1006267/39608206*c_1001_5^3 + 8026169/19804103*c_1001_5^2 + 2130/1800373*c_1001_5 - 29583562/19804103, c_0101_0 - 40735/19804103*c_1001_5^5 - 17325/1800373*c_1001_5^4 + 1117583/19804103*c_1001_5^3 - 8930544/19804103*c_1001_5^2 - 3229448/1800373*c_1001_5 + 74557193/19804103, c_0101_1 - 59553/19804103*c_1001_5^5 - 17152/1800373*c_1001_5^4 + 1486554/19804103*c_1001_5^3 - 12745449/19804103*c_1001_5^2 - 2682600/1800373*c_1001_5 + 111905576/19804103, c_0101_2 - c_1001_5, c_0101_3 - 40735/19804103*c_1001_5^5 - 17325/1800373*c_1001_5^4 + 1117583/19804103*c_1001_5^3 - 8930544/19804103*c_1001_5^2 - 1429075/1800373*c_1001_5 + 74557193/19804103, c_0101_7 - 40735/19804103*c_1001_5^5 - 17325/1800373*c_1001_5^4 + 1117583/19804103*c_1001_5^3 - 8930544/19804103*c_1001_5^2 - 3229448/1800373*c_1001_5 + 74557193/19804103, c_0101_9 + 21917/39608206*c_1001_5^5 + 8749/1800373*c_1001_5^4 - 374306/19804103*c_1001_5^3 + 5115639/39608206*c_1001_5^2 + 1975923/3600746*c_1001_5 - 18604405/19804103, c_1001_5^6 - 3*c_1001_5^5 + 3*c_1001_5^4 + 132*c_1001_5^3 - 159*c_1001_5^2 - 779*c_1001_5 + 1292 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB