Magma V2.19-8 Wed Aug 21 2013 00:54:54 on localhost [Seed = 2134467900] Type ? for help. Type -D to quit. Loading file "L12n719__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n719 geometric_solution 11.86166401 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 -1 1 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 0.863005957930 1.078044895853 0 5 7 6 0132 0132 0132 0132 1 0 0 1 0 1 0 -1 0 0 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 9 -1 -8 -1 0 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 0.053189644236 0.956425977457 8 0 9 4 0132 0132 0132 0213 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.185409371358 1.036856623525 10 5 8 0 0132 1230 0321 0132 1 0 0 1 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 -1 0 1 0 0 -1 1 -1 1 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.656082045535 0.459035049110 11 7 0 2 0132 0132 0132 0213 1 0 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 1 -1 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.041004245545 0.623331413950 8 1 3 12 1023 0132 3012 0132 1 1 1 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 -9 9 0 0 0 1 -1 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.007449596640 0.655301048069 10 7 1 9 2103 3201 0132 1302 1 0 1 0 0 -1 1 0 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 -8 8 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 0.581337548928 1.090361100233 12 4 6 1 0213 0132 2310 0132 1 0 1 1 0 0 0 0 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 -1 0 1 0 0 0 0 1 0 0 -1 1 -9 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.286666714973 0.516097596621 2 5 3 11 0132 1023 0321 2031 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 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664408501446 0.870618636648 10 12 6 2 1023 0132 2031 0132 1 1 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.384077969898 0.261172819031 3 9 6 11 0132 1023 2103 0132 1 0 1 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 0 0 0 0 0 0 0 -9 0 0 9 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.709286338715 0.737692626302 4 8 10 12 0132 1302 0132 0213 1 0 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 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664408501446 0.870618636648 7 9 5 11 0213 0132 0132 0213 1 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 -1 0 1 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 0.982654177003 1.525818985887 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0110_6'], 'c_1001_11' : d['c_0101_2'], 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0110_6']), 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : negation(d['c_0110_6']), 'c_1010_11' : negation(d['c_1001_3']), 'c_1010_10' : d['c_0101_2'], 's_3_11' : d['1'], 's_3_10' : 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_11'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : negation(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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_1001_7'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : d['c_0011_6'], 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_1001_7'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0110_6']), 'c_1100_10' : negation(d['c_0110_6']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_1001_7']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_7'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : d['c_0011_11'], 's_3_1' : 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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1001_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' : negation(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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_11'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : negation(d['c_0101_1']), 'c_0101_12' : d['c_0011_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_10']), '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_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_6'], 'c_0101_8' : negation(d['c_0101_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], '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_0101_11']), 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_1001_3']})} 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_6, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_5, c_0110_6, c_1001_1, c_1001_3, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 3009171934267573096272/24095482665714253*c_1001_7^7 + 75718665309405384448048/24095482665714253*c_1001_7^6 + 380871104375551128950/61625275359883*c_1001_7^5 + 1759467401030359167676837/96381930662857012*c_1001_7^4 + 900967837423267587529723/96381930662857012*c_1001_7^3 + 492981684750801638954383/96381930662857012*c_1001_7^2 + 19074302702755534734439/48190965331428506*c_1001_7 + 34437617187495573395595/48190965331428506, c_0011_0 - 1, c_0011_10 + 857073787490/3243435545257*c_1001_7^7 + 43476944396309/6486871090514*c_1001_7^6 + 373480484046539/25947484362056*c_1001_7^5 + 132151312696389/3243435545257*c_1001_7^4 + 341891601736143/12973742181028*c_1001_7^3 + 37910618983736/3243435545257*c_1001_7^2 + 2555082838144/3243435545257*c_1001_7 + 3343380051697/3243435545257, c_0011_11 - 3859213336/3243435545257*c_1001_7^7 - 203033724560/3243435545257*c_1001_7^6 - 2898215022795/3243435545257*c_1001_7^5 - 54715509699371/25947484362056*c_1001_7^4 - 69176952598455/12973742181028*c_1001_7^3 - 24277807047289/6486871090514*c_1001_7^2 - 6787135958047/6486871090514*c_1001_7 + 511116905043/6486871090514, c_0011_6 - 766611077842/3243435545257*c_1001_7^7 - 38073489334005/6486871090514*c_1001_7^6 - 252542451485435/25947484362056*c_1001_7^5 - 398369715143347/12973742181028*c_1001_7^4 - 21720572251972/3243435545257*c_1001_7^3 - 27043388283263/6486871090514*c_1001_7^2 + 7304861242503/6486871090514*c_1001_7 - 2432482346223/3243435545257, c_0101_0 - 1, c_0101_1 + 202027588098/3243435545257*c_1001_7^7 + 10272102949005/6486871090514*c_1001_7^6 + 90378119522755/25947484362056*c_1001_7^5 + 126530342047315/12973742181028*c_1001_7^4 + 92686035811071/12973742181028*c_1001_7^3 + 11955707381196/3243435545257*c_1001_7^2 + 8154578843201/3243435545257*c_1001_7 + 3206745922194/3243435545257, c_0101_11 + 639327520144/3243435545257*c_1001_7^7 + 15995718031782/3243435545257*c_1001_7^6 + 58579466906315/6486871090514*c_1001_7^5 + 701661349128747/25947484362056*c_1001_7^4 + 129453092753471/12973742181028*c_1001_7^3 + 12744171815541/3243435545257*c_1001_7^2 - 11217930661349/6486871090514*c_1001_7 + 2337713020741/6486871090514, c_0101_2 + 116864492568/3243435545257*c_1001_7^7 + 2873305601532/3243435545257*c_1001_7^6 + 4118920621706/3243435545257*c_1001_7^5 + 116005502653645/25947484362056*c_1001_7^4 + 3025203472361/12973742181028*c_1001_7^3 + 10483549177771/6486871090514*c_1001_7^2 - 185641752317/6486871090514*c_1001_7 - 1471773105769/6486871090514, c_0101_5 + 103582413236/3243435545257*c_1001_7^7 + 2631102149409/3243435545257*c_1001_7^6 + 22556514984719/12973742181028*c_1001_7^5 + 13648151111785/3243435545257*c_1001_7^4 + 25463393095457/12973742181028*c_1001_7^3 - 17634773461549/6486871090514*c_1001_7^2 - 5935564836005/6486871090514*c_1001_7 - 1065831702523/3243435545257, c_0110_6 + 127283557698/3243435545257*c_1001_7^7 + 6082053270441/6486871090514*c_1001_7^6 + 18224583860175/25947484362056*c_1001_7^5 + 95078081157947/25947484362056*c_1001_7^4 - 42570803745583/12973742181028*c_1001_7^3 + 1555044652181/6486871090514*c_1001_7^2 + 1956534709423/3243435545257*c_1001_7 - 3959619418809/6486871090514, c_1001_1 - 97022561442/3243435545257*c_1001_7^7 - 5332829680561/6486871090514*c_1001_7^6 - 83025531265271/25947484362056*c_1001_7^5 - 184828140089349/25947484362056*c_1001_7^4 - 35059088227964/3243435545257*c_1001_7^3 - 7785769055665/3243435545257*c_1001_7^2 - 3239731041393/6486871090514*c_1001_7 + 154933997049/6486871090514, c_1001_3 + 143002236946/3243435545257*c_1001_7^7 + 7295458654181/6486871090514*c_1001_7^6 + 67009080758699/25947484362056*c_1001_7^5 + 98783274752841/12973742181028*c_1001_7^4 + 38590834713009/6486871090514*c_1001_7^3 + 27976524226179/6486871090514*c_1001_7^2 - 2554863020433/6486871090514*c_1001_7 + 231403454985/3243435545257, c_1001_7^8 + 101/4*c_1001_7^7 + 827/16*c_1001_7^6 + 301/2*c_1001_7^5 + 701/8*c_1001_7^4 + 95/2*c_1001_7^3 + 27/4*c_1001_7^2 + 6*c_1001_7 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.420 Total time: 0.640 seconds, Total memory usage: 32.09MB