Magma V2.19-8 Tue Aug 20 2013 23:57:06 on localhost [Seed = 239625954] Type ? for help. Type -D to quit. Loading file "L14n28886__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n28886 geometric_solution 11.23049935 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 0 -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 0.152851271732 1.056398103749 0 5 7 6 0132 0132 0132 0132 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.341614420501 0.923488014361 7 0 4 8 2031 0132 1302 0132 1 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 0 0 0 0 -1 0 1 2 0 0 -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 0.580864550353 0.979512082550 8 9 10 0 1023 0132 0132 0132 1 1 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 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.144460059179 1.165577437137 2 6 0 10 2031 2310 0132 0132 1 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 -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 0.332093731265 0.887985366822 11 1 8 6 0132 0132 1302 2310 1 0 1 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 0 0 0 0 0 0 1 -1 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 0.922549747029 0.944417313746 5 9 1 4 3201 1302 0132 3201 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 1 0 0 -1 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.494652848681 0.577034020250 11 10 2 1 1302 0132 1302 0132 1 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 0 0 0 0 0 0 0 0 0 0 2 -2 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 -0.377913366801 1.453340813905 5 3 2 11 2031 1023 0132 3012 1 1 0 0 0 0 0 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 0 -1 1 -1 0 2 -1 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.280442897219 0.694180574169 11 3 10 6 3012 0132 1302 2031 1 1 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 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.609715515663 1.072301926135 9 7 4 3 2031 0132 0132 0132 1 1 0 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 -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 -0.310726885786 0.781895056758 5 7 8 9 0132 2031 1230 1230 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 0 0 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 0.690188100208 1.062990659986 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_1']), 'c_1001_10' : negation(d['c_0110_6']), 'c_1001_5' : d['c_0110_8'], 'c_1001_4' : d['c_0101_10'], 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : d['c_0110_8'], 'c_1001_1' : negation(d['c_0110_6']), 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0101_10'], 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : d['c_0101_3'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_0011_6'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0101_0']), 'c_0101_10' : d['c_0101_10'], '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' : 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' : d['1'], 's_0_6' : negation(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_1100_9' : d['c_0101_10'], 'c_1100_8' : d['c_0101_1'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_4']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_1'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0110_8'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0110_6']), 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0110_8'], 'c_1010_0' : d['c_0101_10'], 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : d['c_0101_0'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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'], '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_3'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), '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_3']), 'c_0110_10' : d['c_0101_3'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_0'], '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' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0011_6'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_8'], 'c_0110_8' : d['c_0110_8'], '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_0011_6'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} 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_6, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0110_6, c_0110_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 1732021197096073303199/336430633361732114480*c_1100_0^12 - 58830068514005326675/6116920606576947536*c_1100_0^11 - 1488650082660433560097/336430633361732114480*c_1100_0^10 - 5781298130794825761311/336430633361732114480*c_1100_0^9 - 303220530324830034187/168215316680866057240*c_1100_0^8 + 2039570419235429490573/84107658340433028620*c_1100_0^7 + 913809655572138958662/21026914585108257155*c_1100_0^6 + 8007819026906325958657/336430633361732114480*c_1100_0^5 + 21383763389829694463397/336430633361732114480*c_1100_0^4 + 1569192151953693773855/33643063336173211448*c_1100_0^3 - 15419154112455105735143/336430633361732114480*c_1100_0^2 - 13645932077339539614711/168215316680866057240*c_1100_0 - 5506561299365222338019/168215316680866057240, c_0011_0 - 1, c_0011_10 - 48202724766625/874845624510433*c_1100_0^12 + 99282611922495/874845624510433*c_1100_0^11 - 820105398696037/874845624510433*c_1100_0^10 + 1125949155325036/874845624510433*c_1100_0^9 + 507308715297268/874845624510433*c_1100_0^8 + 3420686385917745/874845624510433*c_1100_0^7 + 3992262110783201/874845624510433*c_1100_0^6 + 2951577672525598/874845624510433*c_1100_0^5 + 1920669617436997/874845624510433*c_1100_0^4 + 2342177934998110/874845624510433*c_1100_0^3 - 4230413882274912/874845624510433*c_1100_0^2 - 6917475051873429/874845624510433*c_1100_0 - 2581348464254735/874845624510433, c_0011_3 + 14030178931278718/4374228122552165*c_1100_0^12 - 2879713978434632/874845624510433*c_1100_0^11 - 20184606443061294/4374228122552165*c_1100_0^10 - 56142131466974037/4374228122552165*c_1100_0^9 - 65671389958689278/4374228122552165*c_1100_0^8 - 20711024784141241/4374228122552165*c_1100_0^7 + 30131418689558639/4374228122552165*c_1100_0^6 - 2862434332363126/4374228122552165*c_1100_0^5 + 113353757153163974/4374228122552165*c_1100_0^4 + 34168431388351774/874845624510433*c_1100_0^3 + 1345580297936329/4374228122552165*c_1100_0^2 - 111526372270407549/4374228122552165*c_1100_0 - 47597227678597236/4374228122552165, c_0011_4 - 3155179702836031/874845624510433*c_1100_0^12 + 4072960240224513/874845624510433*c_1100_0^11 + 3144394987244546/874845624510433*c_1100_0^10 + 12610033527829382/874845624510433*c_1100_0^9 + 11478688023657829/874845624510433*c_1100_0^8 + 1944449585141216/874845624510433*c_1100_0^7 - 7220438269805289/874845624510433*c_1100_0^6 - 685595105887433/874845624510433*c_1100_0^5 - 26567682087763525/874845624510433*c_1100_0^4 - 32465709594939970/874845624510433*c_1100_0^3 + 4540578954202192/874845624510433*c_1100_0^2 + 23630055878787701/874845624510433*c_1100_0 + 9765881061081760/874845624510433, c_0011_6 - 1021225777230126/4374228122552165*c_1100_0^12 + 99981030293977/874845624510433*c_1100_0^11 + 157163083283688/4374228122552165*c_1100_0^10 + 4862196504791194/4374228122552165*c_1100_0^9 + 11369705446707171/4374228122552165*c_1100_0^8 + 12428548562273422/4374228122552165*c_1100_0^7 + 17864573420606117/4374228122552165*c_1100_0^6 + 13847811157039587/4374228122552165*c_1100_0^5 + 1266420316858062/4374228122552165*c_1100_0^4 - 1308445793306453/874845624510433*c_1100_0^3 - 12365071267272748/4374228122552165*c_1100_0^2 - 21988537929620052/4374228122552165*c_1100_0 - 10593882466495063/4374228122552165, c_0101_0 - 5759811280741024/4374228122552165*c_1100_0^12 + 2634128136173891/874845624510433*c_1100_0^11 - 2224434995187063/4374228122552165*c_1100_0^10 + 20073595980476791/4374228122552165*c_1100_0^9 - 2949572251316211/4374228122552165*c_1100_0^8 - 17419452557839547/4374228122552165*c_1100_0^7 - 23791310729252077/4374228122552165*c_1100_0^6 - 1836389479944442/4374228122552165*c_1100_0^5 - 60210924894250302/4374228122552165*c_1100_0^4 - 3410678426451651/874845624510433*c_1100_0^3 + 52802888418332693/4374228122552165*c_1100_0^2 + 43983372402120727/4374228122552165*c_1100_0 - 1013037786807377/4374228122552165, c_0101_1 - 1, c_0101_10 - 7067060724170369/4374228122552165*c_1100_0^12 + 2145669005368387/874845624510433*c_1100_0^11 + 6205377110486947/4374228122552165*c_1100_0^10 + 26530786625729071/4374228122552165*c_1100_0^9 + 17174932697006644/4374228122552165*c_1100_0^8 - 7960624899263492/4374228122552165*c_1100_0^7 - 29392138734403322/4374228122552165*c_1100_0^6 - 8364103714248392/4374228122552165*c_1100_0^5 - 69471924912443792/4374228122552165*c_1100_0^4 - 13128459485514430/874845624510433*c_1100_0^3 + 27015320315604228/4374228122552165*c_1100_0^2 + 69675215694985742/4374228122552165*c_1100_0 + 27349201974443283/4374228122552165, c_0101_3 - 2814763240916653/4374228122552165*c_1100_0^12 + 351639607614554/874845624510433*c_1100_0^11 + 6057535589648609/4374228122552165*c_1100_0^10 + 10951994307612642/4374228122552165*c_1100_0^9 + 18697445561005498/4374228122552165*c_1100_0^8 + 5420076341361736/4374228122552165*c_1100_0^7 - 4192742264875989/4374228122552165*c_1100_0^6 - 1604153707328299/4374228122552165*c_1100_0^5 - 21783365100511869/4374228122552165*c_1100_0^4 - 8394844658983406/874845624510433*c_1100_0^3 - 6679447443713314/4374228122552165*c_1100_0^2 + 27199641603529339/4374228122552165*c_1100_0 + 16228792262644061/4374228122552165, c_0110_6 - 17184863015121594/4374228122552165*c_1100_0^12 + 4655310133059947/874845624510433*c_1100_0^11 + 16799374022705602/4374228122552165*c_1100_0^10 + 67251481764300851/4374228122552165*c_1100_0^9 + 56427391715912139/4374228122552165*c_1100_0^8 + 1668350664152063/4374228122552165*c_1100_0^7 - 49726179804460042/4374228122552165*c_1100_0^6 - 9952543835263972/4374228122552165*c_1100_0^5 - 152987755006844737/4374228122552165*c_1100_0^4 - 34902124739072183/874845624510433*c_1100_0^3 + 33508635918750173/4374228122552165*c_1100_0^2 + 144727386513267972/4374228122552165*c_1100_0 + 57076116960703173/4374228122552165, c_0110_8 + 7010296020343382/4374228122552165*c_1100_0^12 - 642274521885341/874845624510433*c_1100_0^11 - 15666913124864231/4374228122552165*c_1100_0^10 - 31087291554634798/4374228122552165*c_1100_0^9 - 47688336172519542/4374228122552165*c_1100_0^8 - 24682328845696939/4374228122552165*c_1100_0^7 + 11639295394190631/4374228122552165*c_1100_0^6 + 3816533418757006/4374228122552165*c_1100_0^5 + 49785970942895966/4374228122552165*c_1100_0^4 + 23841417454389371/874845624510433*c_1100_0^3 + 32898155913801131/4374228122552165*c_1100_0^2 - 64729949386322916/4374228122552165*c_1100_0 - 42906825016031499/4374228122552165, c_1100_0^13 - 7/13*c_1100_0^12 - 24/13*c_1100_0^11 - 66/13*c_1100_0^10 - 85/13*c_1100_0^9 - 49/13*c_1100_0^8 + 28/13*c_1100_0^7 + 33/13*c_1100_0^6 + 123/13*c_1100_0^5 + 219/13*c_1100_0^4 + 8*c_1100_0^3 - 110/13*c_1100_0^2 - 135/13*c_1100_0 - 46/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.310 seconds, Total memory usage: 32.09MB