Magma V2.19-8 Wed Aug 21 2013 01:04:34 on localhost [Seed = 560413016] Type ? for help. Type -D to quit. Loading file "L14n24352__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24352 geometric_solution 12.32159230 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 0 0 1 0 -1 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 -1 0 1 -3 0 3 0 3 -1 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.339860448653 0.929978361172 0 5 7 6 0132 0132 0132 0132 1 1 1 0 0 1 -1 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 -3 3 0 3 0 -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 0.476532086005 1.116293207321 8 0 7 9 0132 0132 3012 0132 1 1 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 1 0 -1 0 0 0 0 1 -1 0 0 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.348742913651 0.814646988368 5 7 8 0 3012 3012 0132 0132 1 1 1 0 0 0 0 0 -1 0 0 1 1 -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 3 0 0 -3 -4 3 0 1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.653332696129 0.948604323934 5 8 0 10 0132 0132 0132 0132 1 1 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 -1 1 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 0.528380963743 0.806428027452 4 1 11 3 0132 0132 0132 1230 1 1 0 1 0 -1 0 1 0 0 1 -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 3 0 -3 0 0 -4 4 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.676531200194 0.757737064531 10 12 1 11 0132 0132 0132 3120 1 1 1 1 0 -1 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 0 0 0 0 4 0 -4 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.628496235265 0.543857095220 3 2 10 1 1230 1230 0213 0132 1 1 0 1 0 0 -1 1 1 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 3 -3 -3 0 0 3 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431550513508 0.867581592741 2 4 9 3 0132 0132 1230 0132 1 1 0 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 0 0 -2 0 0 2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598699910463 0.748904064491 12 12 2 8 2103 3012 0132 3012 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 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 0.889074144838 1.827820641493 6 7 4 11 0132 0213 0132 3012 1 1 1 1 0 1 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 0 0 0 0 -3 -1 4 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.203449737948 0.747427345568 6 12 10 5 3120 0321 1230 0132 1 1 1 1 0 1 -1 0 1 0 0 -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 -4 4 0 -4 0 0 4 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.856402821211 1.253717444866 9 6 9 11 1230 0132 2103 0321 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 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.814480979719 0.369104229394 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_10'], 'c_1001_11' : negation(d['c_0110_9']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_10']), 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_1001_10'], 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : negation(d['c_0101_11']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], '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' : 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' : negation(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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1001_10']), 'c_1100_8' : d['c_0110_9'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : d['c_0110_9'], 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : d['c_0110_9'], 'c_1100_3' : d['c_0110_9'], 'c_1100_2' : negation(d['c_1001_10']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_0'], 'c_1100_10' : d['c_0110_9'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : negation(d['c_0011_10']), 'c_1010_2' : negation(d['c_0011_10']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : negation(d['c_0101_12']), 'c_1010_8' : negation(d['c_0011_7']), 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(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_0110_9']), 's_1_7' : d['1'], 's_1_6' : negation(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' : d['1'], 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(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_10'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0011_3'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_12'], 'c_0101_8' : d['c_0101_12'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_12'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_3'], '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_7, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_0110_9, c_1001_10, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 56827899/454138*c_0110_9*c_1001_5^2 + 1275291/227069*c_0110_9*c_1001_5 + 398083761/454138*c_0110_9 - 59367897/227069*c_1001_5^2 + 2807487/227069*c_1001_5 + 415495224/227069, c_0011_0 - 1, c_0011_10 - c_0110_9 + 15/37*c_1001_5^2 + 28/37*c_1001_5 + 4/37, c_0011_11 - 21/37*c_1001_5^2 - 17/37*c_1001_5 + 24/37, c_0011_3 + 33/703*c_0110_9*c_1001_5^2 - 42/703*c_0110_9*c_1001_5 - 561/703*c_0110_9 + 21/703*c_1001_5^2 + 165/703*c_1001_5 + 346/703, c_0011_7 - 21/703*c_0110_9*c_1001_5^2 - 165/703*c_0110_9*c_1001_5 + 357/703*c_0110_9 + 54/703*c_1001_5^2 + 123/703*c_1001_5 - 215/703, c_0101_0 - 1, c_0101_10 + 12/37*c_0110_9*c_1001_5^2 + 15/37*c_0110_9*c_1001_5 - 56/37*c_0110_9 - 9/37*c_1001_5^2 - 39/37*c_1001_5 + 5/37, c_0101_11 - 12/37*c_0110_9*c_1001_5^2 - 15/37*c_0110_9*c_1001_5 + 56/37*c_0110_9 + 15/37*c_1001_5^2 + 28/37*c_1001_5 + 4/37, c_0101_12 - 9/37*c_1001_5^2 - 39/37*c_1001_5 + 5/37, c_0101_2 - 186/703*c_0110_9*c_1001_5^2 + 45/703*c_0110_9*c_1001_5 + 1053/703*c_0110_9 + 120/703*c_1001_5^2 + 39/703*c_1001_5 + 69/703, c_0110_9^2 - 15/37*c_0110_9*c_1001_5^2 - 28/37*c_0110_9*c_1001_5 - 4/37*c_0110_9 + 25/37*c_1001_5^2 + 59/37*c_1001_5 + 19/37, c_1001_10 + 3/37*c_1001_5^2 + 13/37*c_1001_5 + 23/37, c_1001_5^3 - 7*c_1001_5 - 1/3 ], 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_7, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_0110_9, c_1001_10, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 32091067953735039/2185022777867584*c_1001_5^8 - 5030796434055249/136563923616724*c_1001_5^7 - 846306407382754365/4370045555735168*c_1001_5^6 + 1005888549566295071/4370045555735168*c_1001_5^5 + 458363045693143411/546255694466896*c_1001_5^4 - 162423976326343887/273127847233448*c_1001_5^3 - 274283393089380757/230002397670272*c_1001_5^2 + 2254208080021151215/4370045555735168*c_1001_5 + 846421115959272829/2185022777867584, c_0011_0 - 1, c_0011_10 + 52857382737/8810575717208*c_1001_5^8 + 57694864632/1101321964651*c_1001_5^7 + 2842961665747/17621151434416*c_1001_5^6 + 7080529044863/17621151434416*c_1001_5^5 - 2248950488161/2202643929302*c_1001_5^4 - 1491780477948/1101321964651*c_1001_5^3 + 1601848239099/927429022864*c_1001_5^2 + 11320239039503/17621151434416*c_1001_5 - 10491749237603/8810575717208, c_0011_11 - 26868130011/2318572557160*c_1001_5^8 - 330542172/57964313929*c_1001_5^7 - 532946294001/4637145114320*c_1001_5^6 + 433940660079/927429022864*c_1001_5^5 + 12911266859/115928627858*c_1001_5^4 - 302277326267/289821569645*c_1001_5^3 + 4749980830229/4637145114320*c_1001_5^2 + 1696703559771/4637145114320*c_1001_5 - 2410932337247/2318572557160, c_0011_3 - 1316492428143/44052878586040*c_1001_5^8 - 7412601420/1101321964651*c_1001_5^7 - 21797203792813/88105757172080*c_1001_5^6 + 23451735117907/17621151434416*c_1001_5^5 + 722759531791/2202643929302*c_1001_5^4 - 24901151089136/5506609823255*c_1001_5^3 + 2786273848043/4637145114320*c_1001_5^2 + 403776819415343/88105757172080*c_1001_5 - 91204035947611/44052878586040, c_0011_7 + 2682634852701/44052878586040*c_1001_5^8 + 161313046494/1101321964651*c_1001_5^7 + 73379304855351/88105757172080*c_1001_5^6 - 15078444905465/17621151434416*c_1001_5^5 - 5635019933403/2202643929302*c_1001_5^4 + 17889417568557/5506609823255*c_1001_5^3 + 9597137630639/4637145114320*c_1001_5^2 - 299157809165661/88105757172080*c_1001_5 + 53184305192337/44052878586040, c_0101_0 - 1, c_0101_10 + 1168240399743/22026439293020*c_1001_5^8 + 127968066150/1101321964651*c_1001_5^7 + 30324750589693/44052878586040*c_1001_5^6 - 8957393726123/8810575717208*c_1001_5^5 - 2698310009046/1101321964651*c_1001_5^4 + 10851104730787/5506609823255*c_1001_5^3 + 5117224298437/2318572557160*c_1001_5^2 - 78916773284943/44052878586040*c_1001_5 - 8422684202209/22026439293020, c_0101_11 + 1168240399743/22026439293020*c_1001_5^8 + 127968066150/1101321964651*c_1001_5^7 + 30324750589693/44052878586040*c_1001_5^6 - 8957393726123/8810575717208*c_1001_5^5 - 2698310009046/1101321964651*c_1001_5^4 + 10851104730787/5506609823255*c_1001_5^3 + 5117224298437/2318572557160*c_1001_5^2 - 78916773284943/44052878586040*c_1001_5 - 8422684202209/22026439293020, c_0101_12 - 161219052978/5506609823255*c_1001_5^8 - 76437662190/1101321964651*c_1001_5^7 - 2297740485169/5506609823255*c_1001_5^6 + 444716965110/1101321964651*c_1001_5^5 + 1144828535484/1101321964651*c_1001_5^4 - 4483316676638/5506609823255*c_1001_5^3 + 57052594079/289821569645*c_1001_5^2 + 4779443014939/5506609823255*c_1001_5 - 2277021661146/5506609823255, c_0101_2 - 1, c_0110_9 - 52857382737/8810575717208*c_1001_5^8 - 57694864632/1101321964651*c_1001_5^7 - 2842961665747/17621151434416*c_1001_5^6 - 7080529044863/17621151434416*c_1001_5^5 + 2248950488161/2202643929302*c_1001_5^4 + 1491780477948/1101321964651*c_1001_5^3 - 1601848239099/927429022864*c_1001_5^2 - 11320239039503/17621151434416*c_1001_5 + 10491749237603/8810575717208, c_1001_10 + 747970591767/44052878586040*c_1001_5^8 + 94965526662/1101321964651*c_1001_5^7 + 35122925816837/88105757172080*c_1001_5^6 + 10288969232597/17621151434416*c_1001_5^5 - 826743212519/2202643929302*c_1001_5^4 - 4384822356001/5506609823255*c_1001_5^3 + 788315845613/4637145114320*c_1001_5^2 + 52191697686073/88105757172080*c_1001_5 - 25399310933221/44052878586040, c_1001_5^9 + 2*c_1001_5^8 + 73/6*c_1001_5^7 - 43/2*c_1001_5^6 - 45*c_1001_5^5 + 208/3*c_1001_5^4 + 275/6*c_1001_5^3 - 159/2*c_1001_5^2 + 28/3*c_1001_5 + 62/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.480 Total time: 0.690 seconds, Total memory usage: 32.09MB