Magma V2.19-8 Tue Aug 20 2013 23:58:51 on localhost [Seed = 3280317278] Type ? for help. Type -D to quit. Loading file "L14n41574__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n41574 geometric_solution 11.76223429 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 3 0132 0132 0132 3120 0 1 2 2 0 1 0 -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 0 0 0 0 0 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 0.475453025016 1.045689690599 0 4 5 5 0132 0132 2103 0132 0 1 2 2 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 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 0.475453025016 1.045689690599 6 0 5 7 0132 0132 0213 0132 0 0 2 2 0 -1 0 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 0 0 -1 0 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 0.146935783012 0.887220247347 0 4 5 0 3120 1230 0132 0132 0 1 2 0 0 0 0 0 0 0 -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 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.383268060180 0.764048747547 6 1 3 7 1023 0132 3012 1023 0 0 2 2 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 -1 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 0 0 0.146935783012 0.887220247347 1 2 1 3 2103 0213 0132 0132 0 1 0 2 0 0 0 0 -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 0 0 1 0 -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 0.639677972808 0.792475826855 2 4 8 9 0132 1023 0132 0132 0 0 2 2 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 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 0.355456440890 0.867028534226 9 8 2 4 0132 0132 0132 1023 0 0 2 2 0 1 -1 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 1 0 0 -1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.355456440890 0.867028534226 10 7 11 6 0132 0132 0132 0132 0 0 2 2 0 -1 1 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 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 0.387887738623 0.673487715470 7 11 6 10 0132 0132 0132 0132 0 0 2 2 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 -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 0 0 0 0.387887738623 0.673487715470 8 11 9 11 0132 1023 0132 0132 0 0 2 2 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 0 0 0 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 0.090741774943 1.326072628783 10 9 10 8 1023 0132 0132 0132 0 0 2 2 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 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 0.090741774943 1.326072628783 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_0101_11'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : d['c_0110_4'], 'c_1001_8' : d['c_0110_4'], 'c_1010_11' : d['c_0110_4'], 'c_1010_10' : d['c_0101_11'], 's_0_10' : 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' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_1001_3']), 'c_1100_7' : d['c_1001_3'], 'c_1100_6' : d['c_1100_10'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : d['c_1001_3'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_10'], 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_4'], 'c_1010_6' : d['c_0110_4'], 'c_1010_5' : d['c_1001_3'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_0101_4'], 'c_1100_8' : d['c_1100_10'], 's_3_1' : negation(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' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : d['c_0011_0'], '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_11'], 'c_0110_10' : d['c_0101_11'], 'c_0110_0' : d['c_0101_0'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_5'], 'c_0101_8' : d['c_0101_11'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_10'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_5'], 'c_0110_6' : d['c_0011_5']})} 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_5, c_0101_0, c_0101_10, c_0101_11, c_0101_3, c_0101_4, c_0110_4, c_1001_3, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 211302402903/19355451392*c_1100_10^6 - 1578343772153/19355451392*c_1100_10^5 - 6497582442895/19355451392*c_1100_10^4 - 19230464622703/29033177088*c_1100_10^3 - 2229373824595/3056123904*c_1100_10^2 - 4337531645181/9677725696*c_1100_10 - 6402532250393/58066354176, c_0011_0 - 1, c_0011_10 - 2372133/9450904*c_1100_10^6 - 45585281/28352712*c_1100_10^5 - 57226477/9450904*c_1100_10^4 - 128273533/14176356*c_1100_10^3 - 11872345/1492248*c_1100_10^2 - 29618665/14176356*c_1100_10 + 13911317/28352712, c_0011_3 - 1786065/1181363*c_1100_10^6 - 37223779/3544089*c_1100_10^5 - 48810171/1181363*c_1100_10^4 - 85024890/1181363*c_1100_10^3 - 4339275/62177*c_1100_10^2 - 118259854/3544089*c_1100_10 - 12061783/3544089, c_0011_5 - 1, c_0101_0 - 1, c_0101_10 - 5292/12179*c_1100_10^6 - 39207/12179*c_1100_10^5 - 484588/36537*c_1100_10^4 - 317818/12179*c_1100_10^3 - 56549/1923*c_1100_10^2 - 651340/36537*c_1100_10 - 142825/36537, c_0101_11 - 439800/1181363*c_1100_10^6 - 8685928/3544089*c_1100_10^5 - 11120984/1181363*c_1100_10^4 - 17913536/1181363*c_1100_10^3 - 934779/62177*c_1100_10^2 - 28707817/3544089*c_1100_10 - 6706933/3544089, c_0101_3 - 1786065/1181363*c_1100_10^6 - 37223779/3544089*c_1100_10^5 - 48810171/1181363*c_1100_10^4 - 85024890/1181363*c_1100_10^3 - 4339275/62177*c_1100_10^2 - 118259854/3544089*c_1100_10 - 15605872/3544089, c_0101_4 - 1, c_0110_4 - 5292/12179*c_1100_10^6 - 39207/12179*c_1100_10^5 - 484588/36537*c_1100_10^4 - 317818/12179*c_1100_10^3 - 56549/1923*c_1100_10^2 - 651340/36537*c_1100_10 - 142825/36537, c_1001_3 - 1240521/1181363*c_1100_10^6 - 27060973/3544089*c_1100_10^5 - 109730983/3544089*c_1100_10^4 - 207269278/3544089*c_1100_10^3 - 11534353/186531*c_1100_10^2 - 121873394/3544089*c_1100_10 - 7169728/1181363, c_1100_10^7 + 71/9*c_1100_10^6 + 305/9*c_1100_10^5 + 662/9*c_1100_10^4 + 829/9*c_1100_10^3 + 614/9*c_1100_10^2 + 79/3*c_1100_10 + 32/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB