Magma V2.19-8 Tue Aug 20 2013 23:56:34 on localhost [Seed = 627264812] Type ? for help. Type -D to quit. Loading file "L14n23958__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n23958 geometric_solution 10.59763665 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 1 -1 0 0 1 -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 0 -1 -1 0 2 -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 0.121956001760 1.156705907044 0 5 6 6 0132 0132 2103 0132 1 0 1 1 0 0 0 0 0 0 0 0 0 -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 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 0.470899723744 0.867205849971 7 0 9 8 0132 0132 0132 0132 1 0 1 1 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 -1 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 0 0 0 0.555975686243 0.841660070713 4 6 10 0 0132 0132 0132 0132 1 0 1 1 0 0 1 -1 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 0 0 0 1 0 1 -2 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.185292624312 1.124523731978 3 5 0 9 0132 1302 0132 3120 1 0 1 1 0 0 1 -1 -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 0 1 -1 -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 0.182470945307 0.655000113606 11 1 8 4 0132 0132 0213 2031 1 1 1 1 0 0 0 0 0 0 0 0 0 -1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.930460361602 0.818286058637 1 3 1 7 2103 0132 0132 0132 1 0 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 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 0.516427055751 0.890544769928 2 11 6 8 0132 2310 0132 3120 1 0 1 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 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.766800306036 0.391438498028 7 5 2 10 3120 0213 0132 3120 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 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 -0.503725448519 0.957206022139 4 11 10 2 3120 1230 3120 0132 1 0 1 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 1 -1 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 -0.006783162408 1.857996844455 8 11 9 3 3120 2103 3120 0132 1 0 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 0 0 0 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 1.193703617508 2.017963443499 5 10 9 7 0132 2103 3012 3201 1 1 1 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 0 0 0 0 0 1 -1 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 0.862392134544 0.282121258189 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : negation(d['c_0011_0']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0101_11'], 'c_1001_7' : d['c_1001_3'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : d['c_0011_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : negation(d['c_1001_3']), 'c_1010_10' : d['c_1001_3'], 's_3_11' : 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' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : negation(d['c_0101_9']), 'c_1100_7' : negation(d['c_0101_7']), 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : negation(d['c_0101_7']), 'c_1100_0' : negation(d['c_0101_9']), 'c_1100_3' : negation(d['c_0101_9']), 'c_1100_2' : negation(d['c_0101_10']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_0']), 'c_1100_10' : negation(d['c_0101_9']), 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0101_11'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0101_10']), 's_3_1' : d['1'], 's_3_0' : 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' : 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' : negation(d['c_0011_10']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : d['c_0011_0'], '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_8'], 'c_0110_10' : d['c_0101_2'], 'c_0110_0' : d['c_0101_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_8'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_7'], 's_1_11' : negation(d['1']), 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_7']})} 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_8, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_7, c_0101_9, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 10786169974835/277788265304*c_1001_3^7 - 15921630595759/69447066326*c_1001_3^6 + 131424415615965/138894132652*c_1001_3^5 - 358890160065463/277788265304*c_1001_3^4 + 360286503591/142382504*c_1001_3^3 - 393166555806137/277788265304*c_1001_3^2 + 151252047204569/277788265304*c_1001_3 + 11293153887919/277788265304, c_0011_0 - 1, c_0011_10 + 3089/130717*c_1001_3^7 - 16663/130717*c_1001_3^6 + 57484/130717*c_1001_3^5 - 26706/130717*c_1001_3^4 + 5/67*c_1001_3^3 + 3418/130717*c_1001_3^2 - 211337/130717*c_1001_3 - 80484/130717, c_0011_3 + 22781/130717*c_1001_3^7 - 127881/130717*c_1001_3^6 + 513861/130717*c_1001_3^5 - 587835/130717*c_1001_3^4 + 642/67*c_1001_3^3 - 463257/130717*c_1001_3^2 + 151781/130717*c_1001_3 - 4635/130717, c_0011_8 - 2562/130717*c_1001_3^7 + 16063/130717*c_1001_3^6 - 60372/130717*c_1001_3^5 + 68106/130717*c_1001_3^4 - 21/67*c_1001_3^3 + 13838/130717*c_1001_3^2 + 209093/130717*c_1001_3 - 130190/130717, c_0101_0 - 1, c_0101_10 - 855/130717*c_1001_3^7 - 7956/130717*c_1001_3^6 + 45364/130717*c_1001_3^5 - 235338/130717*c_1001_3^4 + 88/67*c_1001_3^3 - 644375/130717*c_1001_3^2 - 118643/130717*c_1001_3 + 45636/130717, c_0101_11 + 52795/130717*c_1001_3^7 - 320550/130717*c_1001_3^6 + 1332860/130717*c_1001_3^5 - 1933978/130717*c_1001_3^4 + 1837/67*c_1001_3^3 - 2284078/130717*c_1001_3^2 + 761898/130717*c_1001_3 - 70606/130717, c_0101_2 + 4635/130717*c_1001_3^7 - 5029/130717*c_1001_3^6 - 12006/130717*c_1001_3^5 + 347001/130717*c_1001_3^4 - 135/67*c_1001_3^3 + 1043967/130717*c_1001_3^2 - 361287/130717*c_1001_3 + 137876/130717, c_0101_7 + 51/1951*c_1001_3^7 - 121/1951*c_1001_3^6 + 224/1951*c_1001_3^5 + 2496/1951*c_1001_3^4 - c_1001_3^3 + 9411/1951*c_1001_3^2 - 3301/1951*c_1001_3 + 1262/1951, c_0101_9 + 26597/130717*c_1001_3^7 - 184562/130717*c_1001_3^6 + 803991/130717*c_1001_3^5 - 1513375/130717*c_1001_3^4 + 1262/67*c_1001_3^3 - 2451358/130717*c_1001_3^2 + 831284/130717*c_1001_3 - 150525/130717, c_1001_0 - 26198/130717*c_1001_3^7 + 135988/130717*c_1001_3^6 - 528869/130717*c_1001_3^5 + 420603/130717*c_1001_3^4 - 575/67*c_1001_3^3 - 167280/130717*c_1001_3^2 + 69386/130717*c_1001_3 - 79919/130717, c_1001_3^8 - 6*c_1001_3^7 + 25*c_1001_3^6 - 36*c_1001_3^5 + 70*c_1001_3^4 - 45*c_1001_3^3 + 22*c_1001_3^2 - 3*c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB