Magma V2.19-8 Tue Aug 20 2013 23:56:34 on localhost [Seed = 459109138] Type ? for help. Type -D to quit. Loading file "L14n23958__sl2_c2.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' : 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' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : 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' : 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' : 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' : 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' : 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' : d['1'], 's_1_10' : 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 + 5113781617/2585320826*c_1001_3^7 + 13765977492/1292660413*c_1001_3^6 + 54371484998/1292660413*c_1001_3^5 + 104336909937/2585320826*c_1001_3^4 + 123404867/1325126*c_1001_3^3 + 661314135/235029166*c_1001_3^2 - 36163519555/2585320826*c_1001_3 - 49438232815/2585320826, c_0011_0 - 1, c_0011_10 - 2035/130717*c_1001_3^7 - 15463/130717*c_1001_3^6 - 63260/130717*c_1001_3^5 - 109506/130717*c_1001_3^4 - 37/67*c_1001_3^3 - 31094/130717*c_1001_3^2 + 206849/130717*c_1001_3 + 79430/130717, c_0011_3 + 93133/130717*c_1001_3^7 + 524477/130717*c_1001_3^6 + 2122071/130717*c_1001_3^5 + 2503319/130717*c_1001_3^4 + 2730/67*c_1001_3^3 + 1982453/130717*c_1001_3^2 + 644953/130717*c_1001_3 + 20739/130717, 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 - 131244/130717, 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 - 53849/130717*c_1001_3^7 - 321750/130717*c_1001_3^6 - 1327084/130717*c_1001_3^5 - 1851178/130717*c_1001_3^4 - 1805/67*c_1001_3^3 - 2249566/130717*c_1001_3^2 - 757410/130717*c_1001_3 - 230520/130717, 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 + 35867/130717*c_1001_3^7 + 194620/130717*c_1001_3^6 + 779979/130717*c_1001_3^5 + 819373/130717*c_1001_3^4 + 992/67*c_1001_3^3 + 363424/130717*c_1001_3^2 + 108710/130717*c_1001_3 - 125227/130717, c_1001_0 - 89716/130717*c_1001_3^7 - 516370/130717*c_1001_3^6 - 2107063/130717*c_1001_3^5 - 2670551/130717*c_1001_3^4 - 2797/67*c_1001_3^3 - 2612990/130717*c_1001_3^2 - 866120/130717*c_1001_3 - 105293/130717, 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