Magma V2.19-8 Tue Aug 20 2013 23:53:03 on localhost [Seed = 3465061644] Type ? for help. Type -D to quit. Loading file "L13n4625__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4625 geometric_solution 11.23837121 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 0 0 1 2 1302 2031 0132 0132 0 0 0 0 0 0 -1 1 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 -1 3 -2 -2 0 0 2 1 -1 0 0 1 2 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.401949602743 0.654124060751 3 4 5 0 0132 0132 0132 0132 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 0 3 -3 0 0 0 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 0.167205435877 0.935993827351 4 6 0 7 2310 0132 0132 0132 0 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 2 -2 0 0 -2 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 1.026992438362 1.407924237916 1 8 9 8 0132 0132 0132 0213 1 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 0 0 0 8 1 -9 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 0.187862147069 1.018501651757 7 1 2 6 1302 0132 3201 1302 0 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307894682352 0.644809568594 10 10 8 1 0132 1302 3120 0132 0 0 0 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 3 0 -3 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 0.392497374002 1.134329454706 10 2 4 9 1302 0132 2031 2310 0 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 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 0.426268640634 0.293449672887 11 4 2 8 0132 2031 0132 3120 0 0 0 1 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 0 2 -2 0 0 -2 2 -3 3 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598351122942 0.608074873220 7 3 5 3 3120 0132 3120 0213 1 0 0 0 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 -8 -1 9 -2 0 0 2 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.187862147069 1.018501651757 6 11 11 3 3201 2103 2031 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.901092473426 1.218561250131 5 6 11 5 0132 2031 0321 2031 0 0 1 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 3 -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 0.366901976213 0.685079703029 7 9 10 9 0132 2103 0321 1302 0 0 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 1 -1 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.066173300715 0.815268795388 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_9'], 'c_1001_10' : d['c_0101_9'], 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : negation(d['c_0110_4']), 'c_1001_6' : negation(d['c_0110_4']), 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : negation(d['c_0101_5']), 'c_1010_11' : negation(d['c_1001_3']), 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0101_1']), 'c_0101_10' : d['c_0101_1'], '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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_3'], 'c_1100_8' : negation(d['c_0101_5']), 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : negation(d['c_0101_8']), 'c_1100_3' : d['c_1001_3'], 'c_1100_2' : negation(d['c_0101_8']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_9'], 'c_1100_10' : d['c_0011_9'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_1']), 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : negation(d['c_0011_9']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0110_4']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_3'], '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' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_1'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_10'], 'c_0110_11' : negation(d['c_0011_11']), 'c_0110_10' : d['c_0101_5'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_11'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_0']), 'c_0110_8' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0101_1']), 'c_0110_6' : negation(d['c_0101_9'])})} 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_1, c_0011_10, c_0011_11, c_0011_9, c_0101_1, c_0101_2, c_0101_5, c_0101_8, c_0101_9, c_0110_4, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 288105468494977/200645349235360*c_1001_3^11 - 2029219243128701/200645349235360*c_1001_3^10 - 1536226098894789/100322674617680*c_1001_3^9 + 4387271195470471/100322674617680*c_1001_3^8 - 108558494298219/4361855418160*c_1001_3^7 - 83216238237233/4361855418160*c_1001_3^6 + 3074563080593/1127221063120*c_1001_3^5 + 266079391817319/25080668654420*c_1001_3^4 - 1647894004338929/200645349235360*c_1001_3^3 + 1010020840432833/200645349235360*c_1001_3^2 - 53825030997143/5901333801040*c_1001_3 + 290849358302451/100322674617680, c_0011_0 - 1, c_0011_1 - 1487763/618652*c_1001_3^11 - 9427547/618652*c_1001_3^10 - 3930641/309326*c_1001_3^9 + 15289205/154663*c_1001_3^8 - 23835069/309326*c_1001_3^7 - 4335383/309326*c_1001_3^6 + 14777285/309326*c_1001_3^5 + 2239235/154663*c_1001_3^4 - 10245187/618652*c_1001_3^3 + 10609795/618652*c_1001_3^2 - 4719479/309326*c_1001_3 + 2494396/154663, c_0011_10 - 1, c_0011_11 + 3011389/3093260*c_1001_3^11 + 18779427/3093260*c_1001_3^10 + 6318723/1546630*c_1001_3^9 - 67749977/1546630*c_1001_3^8 + 45610579/1546630*c_1001_3^7 + 24940673/1546630*c_1001_3^6 - 22796379/1546630*c_1001_3^5 - 6093631/773315*c_1001_3^4 + 20892253/3093260*c_1001_3^3 - 16321571/3093260*c_1001_3^2 + 13254957/1546630*c_1001_3 - 5933247/1546630, c_0011_9 + 12119767/3093260*c_1001_3^11 + 77276621/3093260*c_1001_3^10 + 16104627/773315*c_1001_3^9 - 128998103/773315*c_1001_3^8 + 164859037/1546630*c_1001_3^7 + 79636439/1546630*c_1001_3^6 - 96256997/1546630*c_1001_3^5 - 25191223/773315*c_1001_3^4 + 81610119/3093260*c_1001_3^3 - 62146213/3093260*c_1001_3^2 + 20095823/773315*c_1001_3 - 14132138/773315, c_0101_1 - 9467263/3093260*c_1001_3^11 - 59333149/3093260*c_1001_3^10 - 22132791/1546630*c_1001_3^9 + 101060352/773315*c_1001_3^8 - 155732603/1546630*c_1001_3^7 - 43079181/1546630*c_1001_3^6 + 91134223/1546630*c_1001_3^5 + 15241072/773315*c_1001_3^4 - 73917171/3093260*c_1001_3^3 + 63617417/3093260*c_1001_3^2 - 33539599/1546630*c_1001_3 + 13798232/773315, c_0101_2 + 1904753/1546630*c_1001_3^11 + 6049042/773315*c_1001_3^10 + 4672521/773315*c_1001_3^9 - 42573994/773315*c_1001_3^8 + 23017683/773315*c_1001_3^7 + 18461126/773315*c_1001_3^6 - 8105508/773315*c_1001_3^5 - 10378739/773315*c_1001_3^4 + 6854521/1546630*c_1001_3^3 - 2141321/773315*c_1001_3^2 + 8632764/773315*c_1001_3 - 3679374/773315, c_0101_5 - 12363/1546630*c_1001_3^11 + 281543/773315*c_1001_3^10 + 2301399/773315*c_1001_3^9 + 4034299/773315*c_1001_3^8 - 10701133/773315*c_1001_3^7 - 1518341/773315*c_1001_3^6 + 3030673/773315*c_1001_3^5 - 1108801/773315*c_1001_3^4 - 2829571/1546630*c_1001_3^3 - 407094/773315*c_1001_3^2 - 2730644/773315*c_1001_3 + 1014224/773315, c_0101_8 + 1278699/1546630*c_1001_3^11 + 4687016/773315*c_1001_3^10 + 7604818/773315*c_1001_3^9 - 22066127/773315*c_1001_3^8 - 7701386/773315*c_1001_3^7 + 9851138/773315*c_1001_3^6 + 8249096/773315*c_1001_3^5 - 7967157/773315*c_1001_3^4 - 11577237/1546630*c_1001_3^3 - 888793/773315*c_1001_3^2 + 3642257/773315*c_1001_3 - 981677/773315, c_0101_9 + 2*c_1001_3^11 + 25/2*c_1001_3^10 + 9*c_1001_3^9 - 173/2*c_1001_3^8 + 66*c_1001_3^7 + 22*c_1001_3^6 - 40*c_1001_3^5 - 14*c_1001_3^4 + 17*c_1001_3^3 - 23/2*c_1001_3^2 + 14*c_1001_3 - 23/2, c_0110_4 + 711093/3093260*c_1001_3^11 + 3603279/3093260*c_1001_3^10 - 1499419/1546630*c_1001_3^9 - 20639979/1546630*c_1001_3^8 + 24940673/1546630*c_1001_3^7 + 7317511/1546630*c_1001_3^6 - 9175873/1546630*c_1001_3^5 - 1552562/773315*c_1001_3^4 + 7769541/3093260*c_1001_3^3 + 2500673/3093260*c_1001_3^2 + 6112309/1546630*c_1001_3 - 4558019/1546630, c_1001_3^12 + 6*c_1001_3^11 + 3*c_1001_3^10 - 44*c_1001_3^9 + 44*c_1001_3^8 - 20*c_1001_3^6 - 2*c_1001_3^5 + 9*c_1001_3^4 - 8*c_1001_3^3 + 9*c_1001_3^2 - 8*c_1001_3 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.280 seconds, Total memory usage: 32.09MB