Magma V2.19-8 Wed Aug 21 2013 00:57:05 on localhost [Seed = 3616656644] Type ? for help. Type -D to quit. Loading file "L13n3742__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3742 geometric_solution 12.32611840 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 1 1 1 0 1 -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 5 -6 1 0 0 0 0 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664679375068 0.558885154202 0 2 6 5 0132 1230 0132 0132 1 1 1 1 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 0 0 0 0 0 -5 5 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.034022102448 1.194797817362 4 0 1 7 1230 0132 3012 0132 1 1 1 1 0 -1 0 1 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 -5 0 5 0 0 5 -5 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.906101294918 0.711412007381 6 8 9 0 2310 0132 0132 0132 1 1 1 1 0 -1 0 1 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 -6 0 6 0 0 0 0 0 6 0 -6 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558405874094 0.725627360304 10 2 0 6 0132 3012 0132 2031 1 1 1 1 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 6 -1 -5 0 0 0 0 6 0 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.596219991900 0.682431018637 10 6 1 8 3012 3012 0132 2310 1 1 1 1 0 1 0 -1 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 6 0 -6 6 0 0 -6 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.265001413886 0.637715034083 5 4 3 1 1230 1302 3201 0132 1 1 1 1 0 0 1 -1 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 5 -5 0 0 0 0 -5 5 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.082024633452 0.632765489209 11 11 2 9 0132 1230 0132 0132 1 1 0 1 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 0 0 0 0 0 5 -5 0 -5 0 5 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 0.485176950844 0.964003817184 5 3 11 10 3201 0132 1230 3201 1 1 1 1 0 1 0 -1 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 6 0 -6 0 0 -5 5 6 0 0 -6 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.301389460915 1.614456650462 12 12 7 3 0132 1302 0132 0132 1 1 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 5 0 0 -5 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.712596492071 0.782628327203 4 8 12 5 0132 2310 0321 1230 1 1 1 1 0 1 0 -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 6 0 -6 0 0 0 0 0 -5 0 5 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.232291918872 0.993569101287 7 12 7 8 0132 0132 3012 3012 1 1 1 0 0 0 0 0 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 0 0 0 5 0 -5 0 0 -5 0 5 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583431839079 0.827684201704 9 11 10 9 0132 0132 0321 2031 1 1 0 1 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 -1 1 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.413466050814 1.125909165255 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_5'], 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0101_8']), 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_10']), 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : negation(d['c_0101_8']), 'c_1010_10' : d['c_0101_0'], 's_0_10' : 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_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_10']), 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : negation(d['c_1001_1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_1001_1']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_0']), 'c_1100_10' : negation(d['c_0101_8']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : negation(d['c_1001_10']), 'c_1010_8' : negation(d['c_1001_10']), 's_3_1' : d['1'], 's_3_0' : negation(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' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1001_10'], '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' : 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_11'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0011_5'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : negation(d['c_0101_10']), 'c_0110_0' : d['c_0011_5'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_1']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : negation(d['c_0101_8']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10']})} 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_3, c_0011_5, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_8, c_1001_0, c_1001_1, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 72767984973124296759/362044428150496*c_1001_10^10 + 579226131834892307397/362044428150496*c_1001_10^9 + 2450879135246155878293/362044428150496*c_1001_10^8 + 1630888475107255665177/90511107037624*c_1001_10^7 + 959427924649044232857/27849571396192*c_1001_10^6 + 2319403257841924806119/51720632592928*c_1001_10^5 + 7278082207992499558553/181022214075248*c_1001_10^4 + 12294559878565843701677/362044428150496*c_1001_10^3 + 9402056448490420853975/362044428150496*c_1001_10^2 + 279662904085594926011/25860316296464*c_1001_10 + 1806894799780628963019/362044428150496, c_0011_0 - 1, c_0011_10 - 143318179/2067832744*c_1001_10^10 - 1093184361/2067832744*c_1001_10^9 - 4458844145/2067832744*c_1001_10^8 - 2828587611/516958186*c_1001_10^7 - 20599312177/2067832744*c_1001_10^6 - 24558369773/2067832744*c_1001_10^5 - 9722272317/1033916372*c_1001_10^4 - 15935642209/2067832744*c_1001_10^3 - 11746553011/2067832744*c_1001_10^2 - 1480249833/1033916372*c_1001_10 - 1609289871/2067832744, c_0011_11 + 1, c_0011_3 + 16818095/1033916372*c_1001_10^10 + 104551257/1033916372*c_1001_10^9 + 377141065/1033916372*c_1001_10^8 + 217291602/258479093*c_1001_10^7 + 1716578829/1033916372*c_1001_10^6 + 2468849057/1033916372*c_1001_10^5 + 1588508467/516958186*c_1001_10^4 + 3667627093/1033916372*c_1001_10^3 + 1896713039/1033916372*c_1001_10^2 + 343953663/516958186*c_1001_10 + 166557843/1033916372, c_0011_5 + 6188833/258479093*c_1001_10^10 + 43988631/258479093*c_1001_10^9 + 172265596/258479093*c_1001_10^8 + 410623522/258479093*c_1001_10^7 + 694222617/258479093*c_1001_10^6 + 657656073/258479093*c_1001_10^5 + 285172990/258479093*c_1001_10^4 + 17525445/258479093*c_1001_10^3 - 52977912/258479093*c_1001_10^2 - 32833940/258479093*c_1001_10 - 86477270/258479093, c_0011_6 - 150888981/2067832744*c_1001_10^10 - 1083688679/2067832744*c_1001_10^9 - 4136890687/2067832744*c_1001_10^8 - 2382435213/516958186*c_1001_10^7 - 15276701071/2067832744*c_1001_10^6 - 13822953867/2067832744*c_1001_10^5 - 2684012959/1033916372*c_1001_10^4 - 5598491951/2067832744*c_1001_10^3 - 5359220245/2067832744*c_1001_10^2 + 875516921/1033916372*c_1001_10 - 1143566209/2067832744, c_0101_0 + 2411625/1033916372*c_1001_10^10 + 22214035/1033916372*c_1001_10^9 + 113220951/1033916372*c_1001_10^8 + 84844819/258479093*c_1001_10^7 + 710045043/1033916372*c_1001_10^6 + 944055751/1033916372*c_1001_10^5 + 372674191/516958186*c_1001_10^4 - 277292885/1033916372*c_1001_10^3 + 64215557/1033916372*c_1001_10^2 + 252859421/516958186*c_1001_10 - 144475835/1033916372, c_0101_10 - 2001496/258479093*c_1001_10^10 - 17991979/258479093*c_1001_10^9 - 74545439/258479093*c_1001_10^8 - 187695830/258479093*c_1001_10^7 - 305127949/258479093*c_1001_10^6 - 290940208/258479093*c_1001_10^5 + 5086258/258479093*c_1001_10^4 + 114276662/258479093*c_1001_10^3 - 150729499/258479093*c_1001_10^2 - 205720874/258479093*c_1001_10 - 26153853/258479093, c_0101_11 - 285488453/4135665488*c_1001_10^10 - 2382288991/4135665488*c_1001_10^9 - 10622248495/4135665488*c_1001_10^8 - 7534649495/1033916372*c_1001_10^7 - 61758514351/4135665488*c_1001_10^6 - 88665625523/4135665488*c_1001_10^5 - 45372497899/2067832744*c_1001_10^4 - 76806786935/4135665488*c_1001_10^3 - 58657413605/4135665488*c_1001_10^2 - 18371706943/2067832744*c_1001_10 - 15006503633/4135665488, c_0101_8 + 21487205/1033916372*c_1001_10^10 + 178138095/1033916372*c_1001_10^9 + 767457875/1033916372*c_1001_10^8 + 516658791/258479093*c_1001_10^7 + 3852979087/1033916372*c_1001_10^6 + 4686058931/1033916372*c_1001_10^5 + 1727905813/516958186*c_1001_10^4 + 2368679339/1033916372*c_1001_10^3 + 1224781097/1033916372*c_1001_10^2 + 297054435/516958186*c_1001_10 + 56742881/1033916372, c_1001_0 + 127306211/2067832744*c_1001_10^10 + 949248529/2067832744*c_1001_10^9 + 3862480633/2067832744*c_1001_10^8 + 2453195951/516958186*c_1001_10^7 + 18158288585/2067832744*c_1001_10^6 + 22230848109/2067832744*c_1001_10^5 + 9742617349/1033916372*c_1001_10^4 + 16849855505/2067832744*c_1001_10^3 + 10540717019/2067832744*c_1001_10^2 + 1691282709/1033916372*c_1001_10 + 1400059047/2067832744, c_1001_1 - 47585365/2067832744*c_1001_10^10 - 290646543/2067832744*c_1001_10^9 - 963607967/2067832744*c_1001_10^8 - 433845351/516958186*c_1001_10^7 - 2026815343/2067832744*c_1001_10^6 - 33939851/2067832744*c_1001_10^5 + 696027641/1033916372*c_1001_10^4 - 1289259063/2067832744*c_1001_10^3 - 1167481029/2067832744*c_1001_10^2 + 293699429/1033916372*c_1001_10 - 726057017/2067832744, c_1001_10^11 + 8*c_1001_10^10 + 34*c_1001_10^9 + 91*c_1001_10^8 + 175*c_1001_10^7 + 230*c_1001_10^6 + 209*c_1001_10^5 + 177*c_1001_10^4 + 136*c_1001_10^3 + 59*c_1001_10^2 + 27*c_1001_10 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 8.400 Total time: 8.609 seconds, Total memory usage: 64.12MB