Magma V2.19-8 Tue Aug 20 2013 23:48:47 on localhost [Seed = 3802433607] Type ? for help. Type -D to quit. Loading file "L12n1008__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1008 geometric_solution 11.21978462 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 0213 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 0 0 0 0 0 0 0 0 1 -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 0.629036833223 1.096406863547 0 4 6 5 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 -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 -0.278125459789 0.867317483844 7 0 6 0 0132 0132 3120 0213 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 0 0 0 0 0 0 0 0 -1 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 0 0 0.629036833223 1.096406863547 8 4 7 0 0132 1230 0321 0132 0 1 1 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 3 -1 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 0.432924853545 0.467815090745 7 1 3 9 1023 0132 3012 0132 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 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 0 0 0 0 0.276378004723 0.588992114158 9 10 1 7 3012 0132 0132 2103 1 1 0 1 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 1 0 1 0 -1 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.454165408425 0.755869364985 11 11 2 1 0132 1302 3120 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 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 0.506080136752 1.239886572093 2 4 3 5 0132 1023 0321 2103 0 1 1 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 -3 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 0.411885852895 0.972519366576 3 10 9 11 0132 1302 3012 0132 1 1 1 1 0 0 1 -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 0 0 0 0 2 -2 0 0 0 0 -1 -2 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.126435201968 0.937053698124 10 8 4 5 2310 1230 0132 1230 1 0 1 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 -3 0 0 3 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447115752952 1.106509722223 11 5 9 8 1302 0132 3201 2031 1 1 1 0 0 0 -1 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 -2 2 -3 0 3 0 2 -2 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.534494177881 0.365126706628 6 10 8 6 0132 2031 0132 2031 1 1 0 1 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 -2 2 0 0 0 0 0 0 -1 0 1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.277284368046 0.696066690518 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0011_9'], 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : negation(d['c_0101_6']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0011_3']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0011_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' : 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' : 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_0110_5'], 'c_1100_8' : negation(d['c_1001_1']), 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_0110_5'], 'c_1100_7' : negation(d['c_0110_5']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : negation(d['c_0101_6']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_1']), 'c_1100_10' : negation(d['c_0011_9']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0101_9']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0101_6']), 'c_1010_9' : d['c_0101_0'], 'c_1010_8' : d['c_0011_9'], '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'], '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_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : 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_0101_6'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], '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_9'], 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10']})} 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_9, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0101_6, c_0101_9, c_0110_5, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 152869689387856/121654485667*c_1001_1^11 - 442182696054184/121654485667*c_1001_1^10 - 336278815789448/121654485667*c_1001_1^9 + 1027460543190084/121654485667*c_1001_1^8 + 1687696810315276/121654485667*c_1001_1^7 - 474689833104490/121654485667*c_1001_1^6 - 2453044532700220/121654485667*c_1001_1^5 - 1476400361625661/121654485667*c_1001_1^4 + 383313392535833/121654485667*c_1001_1^3 + 415066437519702/121654485667*c_1001_1^2 - 278438289240927/121654485667*c_1001_1 - 164389778395901/121654485667, c_0011_0 - 1, c_0011_10 + 5962001016/850730669*c_1001_1^11 + 15327646128/850730669*c_1001_1^10 + 8554074844/850730669*c_1001_1^9 - 42132086816/850730669*c_1001_1^8 - 52250580018/850730669*c_1001_1^7 + 32453166534/850730669*c_1001_1^6 + 83503831503/850730669*c_1001_1^5 + 33802011553/850730669*c_1001_1^4 - 21705875315/850730669*c_1001_1^3 - 9225868027/850730669*c_1001_1^2 + 11367070182/850730669*c_1001_1 + 2646538493/850730669, c_0011_3 - 1069633000/850730669*c_1001_1^11 - 2154681848/850730669*c_1001_1^10 - 189226772/850730669*c_1001_1^9 + 8082714716/850730669*c_1001_1^8 + 5028833838/850730669*c_1001_1^7 - 9986473116/850730669*c_1001_1^6 - 11311381335/850730669*c_1001_1^5 + 1596411880/850730669*c_1001_1^4 + 6226247252/850730669*c_1001_1^3 - 1059172534/850730669*c_1001_1^2 - 3230086949/850730669*c_1001_1 + 46092210/850730669, c_0011_9 - 523149480/850730669*c_1001_1^11 - 187898496/850730669*c_1001_1^10 + 1539869548/850730669*c_1001_1^9 + 4217254960/850730669*c_1001_1^8 - 3528488278/850730669*c_1001_1^7 - 8182827458/850730669*c_1001_1^6 + 764661195/850730669*c_1001_1^5 + 8119638953/850730669*c_1001_1^4 + 3738550984/850730669*c_1001_1^3 - 3118420843/850730669*c_1001_1^2 - 657514349/850730669*c_1001_1 + 910346634/850730669, c_0101_0 - 194047888/850730669*c_1001_1^11 - 629751976/850730669*c_1001_1^10 - 565415288/850730669*c_1001_1^9 + 1212178804/850730669*c_1001_1^8 + 2577818040/850730669*c_1001_1^7 - 385958410/850730669*c_1001_1^6 - 3445298776/850730669*c_1001_1^5 - 2538179005/850730669*c_1001_1^4 + 1214486700/850730669*c_1001_1^3 + 730241635/850730669*c_1001_1^2 - 1294816545/850730669*c_1001_1 - 656864939/850730669, c_0101_1 - 930258824/850730669*c_1001_1^11 - 2308467568/850730669*c_1001_1^10 - 1203919500/850730669*c_1001_1^9 + 6295143808/850730669*c_1001_1^8 + 7110044182/850730669*c_1001_1^7 - 5309212282/850730669*c_1001_1^6 - 10727953611/850730669*c_1001_1^5 - 3980505757/850730669*c_1001_1^4 + 1620651105/850730669*c_1001_1^3 - 506818473/850730669*c_1001_1^2 - 2340858294/850730669*c_1001_1 + 263908340/850730669, c_0101_2 - 1730670856/850730669*c_1001_1^11 - 3901356200/850730669*c_1001_1^10 - 1013764836/850730669*c_1001_1^9 + 13242968892/850730669*c_1001_1^8 + 11770436650/850730669*c_1001_1^7 - 14246685604/850730669*c_1001_1^6 - 22460203087/850730669*c_1001_1^5 - 3941565204/850730669*c_1001_1^4 + 10406780233/850730669*c_1001_1^3 + 3347154656/850730669*c_1001_1^2 - 3238428083/850730669*c_1001_1 - 222936146/850730669, c_0101_4 - 1, c_0101_6 + 8788236880/850730669*c_1001_1^11 + 22151424848/850730669*c_1001_1^10 + 11509258688/850730669*c_1001_1^9 - 62233678928/850730669*c_1001_1^8 - 72975990688/850730669*c_1001_1^7 + 52035905292/850730669*c_1001_1^6 + 117945737988/850730669*c_1001_1^5 + 41774139788/850730669*c_1001_1^4 - 32778784963/850730669*c_1001_1^3 - 7805769828/850730669*c_1001_1^2 + 18326046758/850730669*c_1001_1 + 2816306801/850730669, c_0101_9 - 5025772472/850730669*c_1001_1^11 - 12371512592/850730669*c_1001_1^10 - 5321705308/850730669*c_1001_1^9 + 36871274488/850730669*c_1001_1^8 + 39936315954/850730669*c_1001_1^7 - 35463884322/850730669*c_1001_1^6 - 67473303399/850730669*c_1001_1^5 - 18121201339/850730669*c_1001_1^4 + 23775934193/850730669*c_1001_1^3 + 5331688120/850730669*c_1001_1^2 - 10902752473/850730669*c_1001_1 - 696085043/850730669, c_0110_5 + 5896457896/850730669*c_1001_1^11 + 15324530896/850730669*c_1001_1^10 + 8579455916/850730669*c_1001_1^9 - 41430997296/850730669*c_1001_1^8 - 51950218490/850730669*c_1001_1^7 + 32848750914/850730669*c_1001_1^6 + 80646511611/850730669*c_1001_1^5 + 32050004629/850730669*c_1001_1^4 - 19043817222/850730669*c_1001_1^3 - 5203813596/850730669*c_1001_1^2 + 11336038781/850730669*c_1001_1 + 1196375605/850730669, c_1001_1^12 + 3*c_1001_1^11 + 5/2*c_1001_1^10 - 13/2*c_1001_1^9 - 47/4*c_1001_1^8 + 2*c_1001_1^7 + 131/8*c_1001_1^6 + 45/4*c_1001_1^5 - 3/2*c_1001_1^4 - 23/8*c_1001_1^3 + 3/2*c_1001_1^2 + 5/4*c_1001_1 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.330 seconds, Total memory usage: 32.09MB