Magma V2.19-8 Tue Aug 20 2013 23:53:07 on localhost [Seed = 2934490448] Type ? for help. Type -D to quit. Loading file "L13n4697__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4697 geometric_solution 10.58956603 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 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 -4 1 3 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 0.455001793271 1.125163739761 0 5 7 6 0132 0132 0132 0132 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 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 0 0 0 0 0 0 0 0 0 0.741351080980 0.811161013677 8 0 3 9 0132 0132 3012 0132 1 1 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 4 -4 0 0 0 -1 1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.856725976397 1.516378435758 6 2 7 0 0132 1230 3120 0132 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 1 0 -1 -1 0 1 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543406724379 0.498904175272 10 7 0 9 0132 0132 0132 0213 1 1 1 0 0 1 -1 0 -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 3 -3 0 -3 0 0 3 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391832778096 1.045922273591 11 1 11 6 0132 0132 1023 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.345388646495 0.317715298362 3 5 1 10 0132 1302 0132 1302 1 1 1 0 0 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 -3 3 1 0 0 -1 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.470031231215 0.319144996429 8 4 3 1 2031 0132 3120 0132 1 1 0 1 0 -1 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 0 0 0 0 -3 0 3 1 0 -1 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 0.685902146436 0.838423836633 2 11 7 9 0132 0132 1302 2031 1 1 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 -1 1 0 0 0 0 1 0 0 -1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455001793271 1.125163739761 10 8 2 4 1302 1302 0132 0213 1 1 1 0 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 1 0 -1 0 4 -1 0 -3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.001450799843 0.916772544070 4 9 6 11 0132 2031 2031 1023 1 1 0 1 0 -1 1 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 -4 4 0 3 0 -3 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 -0.229818099835 1.585145173429 5 8 5 10 0132 0132 1023 1023 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.216989615230 0.724013687583 ==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_10'], 'c_1001_5' : d['c_0101_11'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : negation(d['c_1001_3']), 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : d['c_0101_1'], 'c_1010_11' : d['c_0101_1'], 'c_1010_10' : d['c_0011_9'], 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(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' : negation(d['1']), 's_0_5' : negation(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' : negation(d['c_1001_3']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1010_6']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : negation(d['c_1001_3']), 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_1010_6'], 'c_1100_10' : negation(d['c_1010_6']), 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_1001_3']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_11'], 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : d['c_0011_9'], 'c_1100_8' : d['c_0101_7'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : negation(d['c_0011_3']), '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_0011_9'], 'c_0110_10' : d['c_0101_1'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_9'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : d['c_0101_2'], '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' : negation(d['c_0011_10']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), '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' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_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_10, c_0101_11, c_0101_2, c_0101_7, c_1001_3, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 1049927250223/2010089250338*c_1010_6^9 + 57765876561331/8040357001352*c_1010_6^8 + 6416286358951/2010089250338*c_1010_6^7 - 107750198110349/4020178500676*c_1010_6^6 - 79595697876959/16080714002704*c_1010_6^5 + 1271398817925605/16080714002704*c_1010_6^4 + 2349045764274681/32161428005408*c_1010_6^3 - 1898063094099639/32161428005408*c_1010_6^2 - 4125932106997679/32161428005408*c_1010_6 - 2159945103769243/32161428005408, c_0011_0 - 1, c_0011_10 - 597958488/77311125013*c_1010_6^9 - 7041680209/77311125013*c_1010_6^8 + 15341477162/77311125013*c_1010_6^7 + 74557984933/77311125013*c_1010_6^6 - 86741370607/154622250026*c_1010_6^5 - 325244930893/154622250026*c_1010_6^4 + 609270631059/309244500052*c_1010_6^3 + 1888644466769/309244500052*c_1010_6^2 + 367041014646/77311125013*c_1010_6 + 68361019477/77311125013, c_0011_3 - 597958488/77311125013*c_1010_6^9 - 7041680209/77311125013*c_1010_6^8 + 15341477162/77311125013*c_1010_6^7 + 74557984933/77311125013*c_1010_6^6 - 86741370607/154622250026*c_1010_6^5 - 325244930893/154622250026*c_1010_6^4 + 609270631059/309244500052*c_1010_6^3 + 1888644466769/309244500052*c_1010_6^2 + 367041014646/77311125013*c_1010_6 + 68361019477/77311125013, c_0011_9 - 1, c_0101_0 - 1, c_0101_1 - 9744579831/154622250026*c_1010_6^9 - 157409997619/154622250026*c_1010_6^8 - 396995527715/154622250026*c_1010_6^7 + 207855642817/309244500052*c_1010_6^6 + 685139806449/154622250026*c_1010_6^5 - 4854021265717/618489000104*c_1010_6^4 - 8079096782315/309244500052*c_1010_6^3 - 14823247162195/618489000104*c_1010_6^2 - 1068176412737/154622250026*c_1010_6 + 71855718778/77311125013, c_0101_10 - 597958488/77311125013*c_1010_6^9 - 7041680209/77311125013*c_1010_6^8 + 15341477162/77311125013*c_1010_6^7 + 74557984933/77311125013*c_1010_6^6 - 86741370607/154622250026*c_1010_6^5 - 325244930893/154622250026*c_1010_6^4 + 609270631059/309244500052*c_1010_6^3 + 1888644466769/309244500052*c_1010_6^2 + 289729889633/77311125013*c_1010_6 - 8950105536/77311125013, c_0101_11 + 2629093311/309244500052*c_1010_6^9 + 51214770883/309244500052*c_1010_6^8 + 239896410903/309244500052*c_1010_6^7 + 392552482679/618489000104*c_1010_6^6 - 540625420945/309244500052*c_1010_6^5 + 51061304837/1236978000208*c_1010_6^4 + 5096347263811/618489000104*c_1010_6^3 + 12630988642303/1236978000208*c_1010_6^2 + 243766727360/77311125013*c_1010_6 - 125573967125/154622250026, c_0101_2 - 15714904254/77311125013*c_1010_6^9 - 241671522718/77311125013*c_1010_6^8 - 478362629220/77311125013*c_1010_6^7 + 178316234353/77311125013*c_1010_6^6 + 645344260656/77311125013*c_1010_6^5 - 3275500887231/154622250026*c_1010_6^4 - 5052952847902/77311125013*c_1010_6^3 - 5124837501205/77311125013*c_1010_6^2 - 4280483047291/154622250026*c_1010_6 - 164110022001/77311125013, c_0101_7 - 18809898732/77311125013*c_1010_6^9 - 284722872083/77311125013*c_1010_6^8 - 509311634414/77311125013*c_1010_6^7 + 258702067005/77311125013*c_1010_6^6 + 1287701707183/154622250026*c_1010_6^5 - 3948920151953/154622250026*c_1010_6^4 - 22309954895691/309244500052*c_1010_6^3 - 21385785702205/309244500052*c_1010_6^2 - 2229234375891/77311125013*c_1010_6 - 235936056442/77311125013, c_1001_3 + 72500422867/309244500052*c_1010_6^9 + 1102448327155/309244500052*c_1010_6^8 + 2015369416443/309244500052*c_1010_6^7 - 2378708549965/618489000104*c_1010_6^6 - 2771680702923/309244500052*c_1010_6^5 + 32161102015657/1236978000208*c_1010_6^4 + 44251062812173/618489000104*c_1010_6^3 + 79103477744655/1236978000208*c_1010_6^2 + 3152175514613/154622250026*c_1010_6 - 152294394375/154622250026, c_1010_6^10 + 16*c_1010_6^9 + 40*c_1010_6^8 + 15/2*c_1010_6^7 - 99/2*c_1010_6^6 + 311/4*c_1010_6^5 + 1563/4*c_1010_6^4 + 2103/4*c_1010_6^3 + 1315/4*c_1010_6^2 + 84*c_1010_6 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB