Magma V2.19-8 Wed Aug 21 2013 01:05:04 on localhost [Seed = 2834214960] Type ? for help. Type -D to quit. Loading file "L14n25000__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25000 geometric_solution 11.86865475 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 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 0 0 0 0 1 0 -1 -3 0 1 2 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.413904288808 0.647660038142 0 4 6 5 0132 2103 0132 0132 1 0 1 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 0 0 0 0 0 0 0 3 0 0 -3 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.468591588244 0.560710502409 7 0 8 4 0132 0132 0132 2103 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 -1 1 0 0 0 0 0 0 0 0 0 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.768174894678 0.848865077984 9 10 7 0 0132 0132 3120 0132 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 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 0.264566147829 0.539370006507 11 1 0 2 0132 2103 0132 2103 1 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 0 0 0 0 0 0 0 -1 1 0 2 0 -2 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 -0.700606129059 1.096279030051 9 10 1 12 2103 0213 0132 0132 1 0 1 1 0 0 0 0 0 0 -1 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 0 3 -3 -1 1 0 0 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.520627068238 1.182098934113 9 10 8 1 3120 2310 3120 0132 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 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 -0.085068087274 0.952396446186 2 8 3 11 0132 3120 3120 2103 1 0 1 1 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 0 -1 1 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.760176664273 0.394596480342 12 7 6 2 3120 3120 3120 0132 1 0 1 1 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 1 -1 0 0 0 0 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488812792684 0.553810052784 3 12 5 6 0132 0132 2103 3120 1 0 1 1 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 1 -1 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.774579565995 1.422656457066 11 3 5 6 1230 0132 0213 3201 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 1 0 -1 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.341359837071 1.075176555550 4 10 12 7 0132 3012 2103 2103 1 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 0 0 0 0 0 0 0 0 -2 0 2 -2 0 3 -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 0.416245781851 0.841825500117 11 9 5 8 2103 0132 0132 3120 1 0 1 1 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 -3 0 3 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.163055844184 0.819002407401 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : negation(d['c_0011_6']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : negation(d['c_1001_3']), 'c_1001_6' : negation(d['c_1001_3']), 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0011_5'], 'c_1001_8' : d['c_1001_3'], 'c_1010_12' : d['c_0011_5'], 'c_1010_11' : negation(d['c_0011_5']), 'c_1010_10' : d['c_1001_3'], '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_11'], 'c_0101_10' : d['c_0011_5'], '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_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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_1']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : negation(d['c_0101_11']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_11']), 'c_1100_11' : negation(d['c_0101_2']), 'c_1100_10' : negation(d['c_0011_6']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : negation(d['c_0011_0']), 'c_1100_8' : negation(d['c_0101_11']), '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'], 'c_1100_12' : negation(d['c_0101_8']), '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_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], '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_0011_11'], 'c_0110_12' : d['c_0101_2'], 'c_0101_12' : d['c_0101_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_11'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], '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_0'], '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' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} 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_5, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_7, c_0101_8, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 6319067916001653/23115758409968000*c_1001_3^11 + 16367826285042931/23115758409968000*c_1001_3^10 - 3278234188481531/23115758409968000*c_1001_3^9 - 343983480738770237/23115758409968000*c_1001_3^8 - 837354663895949237/11557879204984000*c_1001_3^7 - 362540432028719491/2311575840996800*c_1001_3^6 - 2710945003511144973/11557879204984000*c_1001_3^5 - 2649057251795781959/11557879204984000*c_1001_3^4 - 723963920194885983/4623151681993600*c_1001_3^3 - 761697040809031493/23115758409968000*c_1001_3^2 + 1392821035189916709/23115758409968000*c_1001_3 + 40277413012783467/471750171632000, c_0011_0 - 1, c_0011_10 + 976765/83270848*c_1001_3^11 + 84409/2602214*c_1001_3^10 - 240987/83270848*c_1001_3^9 - 26796757/41635424*c_1001_3^8 - 133951719/41635424*c_1001_3^7 - 74531857/10408856*c_1001_3^6 - 447497359/41635424*c_1001_3^5 - 222870749/20817712*c_1001_3^4 - 597101615/83270848*c_1001_3^3 - 20777885/10408856*c_1001_3^2 + 211875961/83270848*c_1001_3 + 151578759/41635424, c_0011_11 - 4616493/895161616*c_1001_3^11 - 57635419/3580646464*c_1001_3^10 + 94315/1790323232*c_1001_3^9 + 1038325529/3580646464*c_1001_3^8 + 672659215/447580808*c_1001_3^7 + 6176588801/1790323232*c_1001_3^6 + 4491407353/895161616*c_1001_3^5 + 9150454349/1790323232*c_1001_3^4 + 3043818291/895161616*c_1001_3^3 + 3149064505/3580646464*c_1001_3^2 - 379363957/1790323232*c_1001_3 - 5860680403/3580646464, c_0011_5 + 15410571/1790323232*c_1001_3^11 + 3942537/223790404*c_1001_3^10 - 9733599/1790323232*c_1001_3^9 - 401638899/895161616*c_1001_3^8 - 1841633167/895161616*c_1001_3^7 - 1919339119/447580808*c_1001_3^6 - 6294061285/895161616*c_1001_3^5 - 1527114139/223790404*c_1001_3^4 - 9337063533/1790323232*c_1001_3^3 - 291605083/447580808*c_1001_3^2 + 2139110825/1790323232*c_1001_3 + 2366763983/895161616, c_0011_6 - 1587567/223790404*c_1001_3^11 - 60919811/3580646464*c_1001_3^10 + 12232433/1790323232*c_1001_3^9 + 1349962045/3580646464*c_1001_3^8 + 805787891/447580808*c_1001_3^7 + 6718756773/1790323232*c_1001_3^6 + 5181587737/895161616*c_1001_3^5 + 11246002053/1790323232*c_1001_3^4 + 2108074085/447580808*c_1001_3^3 + 7014856025/3580646464*c_1001_3^2 - 3656573211/1790323232*c_1001_3 - 6576811431/3580646464, c_0101_0 - 1, c_0101_1 - 395260717/60870989888*c_1001_3^11 - 229777623/15217747472*c_1001_3^10 + 272544011/60870989888*c_1001_3^9 + 10679475881/30435494944*c_1001_3^8 + 49948572291/30435494944*c_1001_3^7 + 26089716507/7608873736*c_1001_3^6 + 155035510811/30435494944*c_1001_3^5 + 66830688919/15217747472*c_1001_3^4 + 179669751335/60870989888*c_1001_3^3 + 5727006645/15217747472*c_1001_3^2 - 57701887553/60870989888*c_1001_3 - 43618606191/30435494944, c_0101_11 - 3789833/3804436868*c_1001_3^11 - 28474883/30435494944*c_1001_3^10 + 84933745/15217747472*c_1001_3^9 + 1488573369/30435494944*c_1001_3^8 + 315726007/1902218434*c_1001_3^7 + 1667778393/15217747472*c_1001_3^6 + 233495409/7608873736*c_1001_3^5 + 3770796417/15217747472*c_1001_3^4 + 1512475053/3804436868*c_1001_3^3 + 25740828657/30435494944*c_1001_3^2 + 1226336453/15217747472*c_1001_3 - 4654193627/30435494944, c_0101_2 + 12700079/15217747472*c_1001_3^11 + 370431911/60870989888*c_1001_3^10 + 188641133/30435494944*c_1001_3^9 - 3366067409/60870989888*c_1001_3^8 - 3259217975/7608873736*c_1001_3^7 - 40296360197/30435494944*c_1001_3^6 - 31955739489/15217747472*c_1001_3^5 - 74808616557/30435494944*c_1001_3^4 - 27933859661/15217747472*c_1001_3^3 - 85281825661/60870989888*c_1001_3^2 - 9406762115/30435494944*c_1001_3 + 41352789195/60870989888, c_0101_7 + 9725035/1415604416*c_1001_3^11 + 24425845/1415604416*c_1001_3^10 - 8693367/1415604416*c_1001_3^9 - 532872025/1415604416*c_1001_3^8 - 1265018733/707802208*c_1001_3^7 - 2641287199/707802208*c_1001_3^6 - 3750005323/707802208*c_1001_3^5 - 3419135001/707802208*c_1001_3^4 - 4383317441/1415604416*c_1001_3^3 - 813269223/1415604416*c_1001_3^2 + 887285405/1415604416*c_1001_3 + 1339625627/1415604416, c_0101_8 + 104254981/60870989888*c_1001_3^11 + 17627303/15217747472*c_1001_3^10 - 370608071/60870989888*c_1001_3^9 - 2630981541/30435494944*c_1001_3^8 - 8654978899/30435494944*c_1001_3^7 - 2143334985/7608873736*c_1001_3^6 - 8542378887/30435494944*c_1001_3^5 + 4267459445/15217747472*c_1001_3^4 + 18496993825/60870989888*c_1001_3^3 + 4640879999/15217747472*c_1001_3^2 + 25254897877/60870989888*c_1001_3 + 9421662499/30435494944, c_1001_0 - 1322151/3580646464*c_1001_3^11 - 1928993/1790323232*c_1001_3^10 - 20588107/3580646464*c_1001_3^9 + 12045831/895161616*c_1001_3^8 + 225187321/1790323232*c_1001_3^7 + 477948241/895161616*c_1001_3^6 + 2575234981/1790323232*c_1001_3^5 + 754731891/447580808*c_1001_3^4 + 5415423445/3580646464*c_1001_3^3 + 1416432775/1790323232*c_1001_3^2 + 2190611105/3580646464*c_1001_3 - 70428313/895161616, c_1001_3^12 + 2*c_1001_3^11 - 2*c_1001_3^10 - 54*c_1001_3^9 - 233*c_1001_3^8 - 420*c_1001_3^7 - 532*c_1001_3^6 - 356*c_1001_3^5 - 105*c_1001_3^4 + 194*c_1001_3^3 + 278*c_1001_3^2 + 186*c_1001_3 - 175 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.400 seconds, Total memory usage: 32.09MB