Magma V2.19-8 Tue Aug 20 2013 23:56:01 on localhost [Seed = 2732903044] Type ? for help. Type -D to quit. Loading file "L14n13525__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13525 geometric_solution 10.79468837 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 2310 1 1 1 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 -1 0 1 0 0 0 0 7 0 0 -7 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.268211506648 0.790285717404 0 4 6 5 0132 0132 0132 0132 0 1 1 1 0 -1 0 1 0 0 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 1 1 -2 0 0 8 -8 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.614909159235 1.134670898959 0 0 6 7 3201 0132 3201 0132 1 1 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 0 0 0 1 0 -1 7 0 0 -7 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.630816304863 0.681242080967 8 9 4 0 0132 0132 3201 0132 1 1 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 7 0 -7 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 0.412361146284 0.843437232309 3 1 6 5 2310 0132 0213 0213 0 1 1 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 -1 -1 2 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.268211506648 0.790285717404 7 6 1 4 0213 0213 0132 0213 0 1 1 1 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 -8 0 8 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.268211506648 0.790285717404 2 4 5 1 2310 0213 0213 0132 0 1 1 1 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 1 0 -1 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.585432776564 0.291284101899 5 8 2 10 0213 0213 0132 0132 1 1 1 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 0 1 -1 -8 0 7 1 8 0 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.532166996117 0.956898528228 3 9 7 10 0132 0213 0213 2310 1 1 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 0 0 0 0 0 0 -7 0 0 7 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.309994012505 0.600462062648 10 3 8 11 1023 0132 0213 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 -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 0.349723356676 0.489518216363 8 9 7 11 3201 1023 0132 0321 1 1 1 1 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 1 0 1 0 -1 0 0 0 0 0 -7 -1 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.981567730401 0.738909031347 11 10 9 11 3201 0321 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536308864556 1.256761583850 ==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' : negation(d['c_0011_6']), 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_4'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0011_5']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : d['c_0101_11'], '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_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' : 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_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1001_1'], 'c_1100_4' : d['c_1001_1'], 'c_1100_7' : negation(d['c_0011_6']), 'c_1100_6' : d['c_1001_1'], 'c_1100_1' : d['c_1001_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_6']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : negation(d['c_0011_6']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_5']), 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_0011_11'], '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_10'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_11']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_5'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_7'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0011_7'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0011_7'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0011_7'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : negation(d['c_0101_10']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_10'], 'c_1100_8' : 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_11, c_0011_5, c_0011_6, c_0011_7, c_0101_1, c_0101_10, c_0101_11, c_1001_0, c_1001_1, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 21 Groebner basis: [ t + 262983894875/6980157504*c_1001_4^20 - 321625641077/27920630016*c_1001_4^19 + 136929531959/1745039376*c_1001_4^18 - 5992232675/13960315008*c_1001_4^17 - 310305667009/680990976*c_1001_4^16 + 9513834271/72709974*c_1001_4^15 - 176600847731/226996992*c_1001_4^14 - 201210658033/3102292224*c_1001_4^13 + 70551891274771/27920630016*c_1001_4^12 - 17293748737703/27920630016*c_1001_4^11 + 9453620019307/3102292224*c_1001_4^10 + 5762339212267/9306876672*c_1001_4^9 - 53940438128245/6980157504*c_1001_4^8 + 39338042586967/27920630016*c_1001_4^7 - 12888536438399/2326719168*c_1001_4^6 - 754287182149/387786528*c_1001_4^5 + 88529207411989/6980157504*c_1001_4^4 - 4462965839827/3490078752*c_1001_4^3 + 584148774233/145419948*c_1001_4^2 + 332565101629/145419948*c_1001_4 - 958758052090/109064961, c_0011_0 - 1, c_0011_10 - 1/128*c_1001_4^20 + 1/128*c_1001_4^19 + 1/128*c_1001_4^17 + 17/128*c_1001_4^16 - 11/128*c_1001_4^15 - 1/32*c_1001_4^14 - 3/64*c_1001_4^13 - 29/32*c_1001_4^12 + 13/32*c_1001_4^11 + 7/16*c_1001_4^10 + 5/128*c_1001_4^9 + 401/128*c_1001_4^8 - 119/128*c_1001_4^7 - 139/64*c_1001_4^6 + 1/4*c_1001_4^5 - 9/2*c_1001_4^4 + 7/8*c_1001_4^3 + 15/4*c_1001_4^2 - 1/2*c_1001_4 + 1, c_0011_11 + 1/64*c_1001_4^20 + 3/64*c_1001_4^18 - 1/64*c_1001_4^17 - 7/32*c_1001_4^16 - 1/32*c_1001_4^15 - 41/64*c_1001_4^14 + 5/32*c_1001_4^13 + 47/32*c_1001_4^12 + 1/4*c_1001_4^11 + 59/16*c_1001_4^10 - 45/64*c_1001_4^9 - 195/32*c_1001_4^8 - 23/32*c_1001_4^7 - 651/64*c_1001_4^6 + 51/32*c_1001_4^5 + 239/16*c_1001_4^4 + 3/4*c_1001_4^3 + 47/4*c_1001_4^2 - 3/2*c_1001_4 - 17, c_0011_5 + 1, c_0011_6 - c_1001_4^2 + 1, c_0011_7 + c_1001_4^2 - 1, c_0101_1 + c_1001_4, c_0101_10 + 1/128*c_1001_4^20 + 1/128*c_1001_4^19 + 1/64*c_1001_4^18 + 3/128*c_1001_4^17 - 11/128*c_1001_4^16 - 11/128*c_1001_4^15 - 9/64*c_1001_4^14 - 15/64*c_1001_4^13 + 7/16*c_1001_4^12 + 15/32*c_1001_4^11 + 1/2*c_1001_4^10 + 123/128*c_1001_4^9 - 155/128*c_1001_4^8 - 191/128*c_1001_4^7 - 13/16*c_1001_4^6 - 15/8*c_1001_4^5 + 7/4*c_1001_4^4 + 21/8*c_1001_4^3 + 1/2*c_1001_4^2 + 1/2*c_1001_4 - 1, c_0101_11 + 9/128*c_1001_4^20 + 7/128*c_1001_4^19 + 1/8*c_1001_4^18 + 15/128*c_1001_4^17 - 97/128*c_1001_4^16 - 77/128*c_1001_4^15 - 33/32*c_1001_4^14 - 49/64*c_1001_4^13 + 119/32*c_1001_4^12 + 99/32*c_1001_4^11 + 51/16*c_1001_4^10 + 179/128*c_1001_4^9 - 1225/128*c_1001_4^8 - 961/128*c_1001_4^7 - 257/64*c_1001_4^6 + 13/16*c_1001_4^5 + 193/16*c_1001_4^4 + 27/4*c_1001_4^3 + 5/4*c_1001_4^2 - 5/2*c_1001_4 - 5, c_1001_0 + 1/128*c_1001_4^20 + 1/128*c_1001_4^19 + 1/64*c_1001_4^18 + 3/128*c_1001_4^17 - 11/128*c_1001_4^16 - 11/128*c_1001_4^15 - 9/64*c_1001_4^14 - 15/64*c_1001_4^13 + 7/16*c_1001_4^12 + 15/32*c_1001_4^11 + 1/2*c_1001_4^10 + 123/128*c_1001_4^9 - 155/128*c_1001_4^8 - 191/128*c_1001_4^7 - 13/16*c_1001_4^6 - 15/8*c_1001_4^5 + 7/4*c_1001_4^4 + 21/8*c_1001_4^3 + 1/2*c_1001_4^2 + 1/2*c_1001_4 - 1, c_1001_1 - 1, c_1001_4^21 + c_1001_4^20 + 2*c_1001_4^19 + 3*c_1001_4^18 - 11*c_1001_4^17 - 11*c_1001_4^16 - 18*c_1001_4^15 - 30*c_1001_4^14 + 56*c_1001_4^13 + 60*c_1001_4^12 + 64*c_1001_4^11 + 123*c_1001_4^10 - 155*c_1001_4^9 - 191*c_1001_4^8 - 104*c_1001_4^7 - 240*c_1001_4^6 + 224*c_1001_4^5 + 336*c_1001_4^4 + 64*c_1001_4^3 + 192*c_1001_4^2 - 128*c_1001_4 - 256 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB