Magma V2.19-8 Wed Aug 21 2013 01:08:19 on localhost [Seed = 3785881764] Type ? for help. Type -D to quit. Loading file "L14n39825__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n39825 geometric_solution 11.46256613 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 1 -3 2 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.698560971092 0.798574149054 0 5 7 6 0132 0132 0132 0132 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 -3 0 3 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 0.935715225418 0.349887071391 8 0 8 9 0132 0132 3120 0132 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 0 0 0 -1 1 0 0 0 -1 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.823731847137 0.796096375363 10 10 11 0 0132 1302 0132 0132 0 0 0 1 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.251152029765 0.642441756379 7 12 0 5 0132 0132 0132 2103 0 0 0 0 0 -1 1 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 3 -2 -1 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 1.252369253251 1.346628586855 11 1 12 4 2103 0132 2031 2103 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 0 0 0 0 0 3 -3 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 0.663580860763 0.276642843719 10 12 1 9 2103 2031 0132 2031 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 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 0.698560971092 0.798574149054 4 12 8 1 0132 3201 2310 0132 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 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 0.663580860763 0.276642843719 2 7 2 10 0132 3201 3120 3201 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 0 0 0 0 1 -1 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 0.823731847137 0.796096375363 11 6 2 11 0213 1302 0132 3201 0 1 0 0 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 3 0 -1 -2 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.372300852968 0.606640398217 3 8 6 3 0132 2310 2103 2031 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 0 0 0 0 0 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 0.769228926911 0.659926717445 9 9 5 3 0213 2310 2103 0132 0 0 1 0 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 0 0 0 0 -3 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.265128721531 1.197425688001 6 4 7 5 1302 0132 2310 1302 0 0 0 0 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 -3 3 0 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.629677851680 0.398194374366 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_0'], 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : negation(d['c_1001_1']), 'c_1001_5' : negation(d['c_0110_12']), 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0110_12']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0110_6'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : d['c_0110_6'], 'c_1001_8' : negation(d['c_0101_7']), 'c_1010_12' : d['c_0101_7'], 'c_1010_11' : d['c_0101_3'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0011_6']), 'c_0101_11' : d['c_0011_12'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : 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_12' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : negation(d['c_0110_5']), 'c_1100_7' : d['c_0011_0'], 'c_1100_6' : d['c_0011_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : negation(d['c_0011_11']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_5']), 'c_1100_10' : negation(d['c_0110_6']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_12'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_1001_1']), 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0110_6'], 'c_1010_1' : negation(d['c_0110_12']), 'c_1010_0' : d['c_0101_7'], 'c_1010_9' : negation(d['c_0011_0']), 'c_1010_8' : negation(d['c_0011_6']), 'c_1100_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_12'], '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_12'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_12']), 'c_0011_7' : d['c_0011_12'], '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' : d['c_0101_3'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0110_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_12'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : d['c_0011_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_3']), 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_11'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_7, c_0110_12, c_0110_5, c_0110_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 243331/56*c_0110_5*c_1001_1 - 587453/56*c_0110_5 + 745077/56*c_1001_1 + 1798775/56, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - c_0110_5*c_1001_1 - 2*c_0110_5 - c_1001_1, c_0011_12 + c_0110_5*c_1001_1 + 5*c_1001_1 - 3, c_0011_6 + c_0110_5 - 5*c_1001_1 - 1, c_0101_0 - c_1001_1, c_0101_1 + c_0110_5*c_1001_1 + c_0110_5 + 3*c_1001_1 - 1, c_0101_3 - 2*c_0110_5*c_1001_1 - 5*c_0110_5, c_0101_7 + c_0110_5*c_1001_1 + 4*c_1001_1 - 2, c_0110_12 + c_0110_5*c_1001_1 + c_0110_5 + c_1001_1 - 5, c_0110_5^2 - 5*c_0110_5*c_1001_1 - c_0110_5 - 12*c_1001_1 + 5, c_0110_6 + c_1001_1 - 1, c_1001_1^2 + 2*c_1001_1 - 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_7, c_0110_12, c_0110_5, c_0110_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 245213533069/327965260*c_1001_1^8 - 134834482033/655930520*c_1001_1^7 + 27551332317/9370436*c_1001_1^6 + 180897673121/327965260*c_1001_1^5 + 29406792338311/5247444160*c_1001_1^4 + 3116400034773/1311861040*c_1001_1^3 + 3046734538611/749634880*c_1001_1^2 + 14429711648/16398263*c_1001_1 + 2195838944557/2623722080, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 7770848/2342609*c_1001_1^8 + 1715552/2342609*c_1001_1^7 - 23099208/2342609*c_1001_1^6 - 13365176/2342609*c_1001_1^5 - 30541834/2342609*c_1001_1^4 - 33135231/2342609*c_1001_1^3 - 1200271/2342609*c_1001_1^2 - 5463789/2342609*c_1001_1 + 4941831/2342609, c_0011_12 + 1865800/2342609*c_1001_1^8 + 1522884/2342609*c_1001_1^7 + 6400668/2342609*c_1001_1^6 + 9311416/2342609*c_1001_1^5 + 27716475/4685218*c_1001_1^4 + 40354769/4685218*c_1001_1^3 + 26292563/4685218*c_1001_1^2 + 16984293/4685218*c_1001_1 + 1916939/2342609, c_0011_6 - 4652408/2342609*c_1001_1^8 - 3048268/2342609*c_1001_1^7 - 14227004/2342609*c_1001_1^6 - 20996128/2342609*c_1001_1^5 - 58058685/4685218*c_1001_1^4 - 81027065/4685218*c_1001_1^3 - 51444767/4685218*c_1001_1^2 - 27752587/4685218*c_1001_1 - 4354081/2342609, c_0101_0 - 72672/2342609*c_1001_1^8 + 6027440/2342609*c_1001_1^7 + 1224896/2342609*c_1001_1^6 + 17837968/2342609*c_1001_1^5 + 17949990/2342609*c_1001_1^4 + 29359624/2342609*c_1001_1^3 + 39047330/2342609*c_1001_1^2 + 14674679/2342609*c_1001_1 + 10290310/2342609, c_0101_1 + 4997008/2342609*c_1001_1^8 + 2879544/2342609*c_1001_1^7 + 15131936/2342609*c_1001_1^6 + 19985808/2342609*c_1001_1^5 + 29893363/2342609*c_1001_1^4 + 40514678/2342609*c_1001_1^3 + 21931659/2342609*c_1001_1^2 + 12206915/2342609*c_1001_1 + 1019063/2342609, c_0101_3 - 1, c_0101_7 - 1865800/2342609*c_1001_1^8 - 1522884/2342609*c_1001_1^7 - 6400668/2342609*c_1001_1^6 - 9311416/2342609*c_1001_1^5 - 27716475/4685218*c_1001_1^4 - 40354769/4685218*c_1001_1^3 - 26292563/4685218*c_1001_1^2 - 16984293/4685218*c_1001_1 - 1916939/2342609, c_0110_12 - 4997008/2342609*c_1001_1^8 - 2879544/2342609*c_1001_1^7 - 15131936/2342609*c_1001_1^6 - 19985808/2342609*c_1001_1^5 - 29893363/2342609*c_1001_1^4 - 40514678/2342609*c_1001_1^3 - 21931659/2342609*c_1001_1^2 - 12206915/2342609*c_1001_1 - 1019063/2342609, c_0110_5 - 4652408/2342609*c_1001_1^8 - 3048268/2342609*c_1001_1^7 - 14227004/2342609*c_1001_1^6 - 20996128/2342609*c_1001_1^5 - 58058685/4685218*c_1001_1^4 - 81027065/4685218*c_1001_1^3 - 51444767/4685218*c_1001_1^2 - 27752587/4685218*c_1001_1 - 4354081/2342609, c_0110_6 - 4725080/2342609*c_1001_1^8 + 2979172/2342609*c_1001_1^7 - 13002108/2342609*c_1001_1^6 - 3158160/2342609*c_1001_1^5 - 22158705/4685218*c_1001_1^4 - 22307817/4685218*c_1001_1^3 + 26649893/4685218*c_1001_1^2 + 1596771/4685218*c_1001_1 + 5936229/2342609, c_1001_1^9 + 1/2*c_1001_1^8 + 7/2*c_1001_1^7 + 4*c_1001_1^6 + 115/16*c_1001_1^5 + 149/16*c_1001_1^4 + 105/16*c_1001_1^3 + 87/16*c_1001_1^2 + 13/8*c_1001_1 + 7/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.330 Total time: 0.530 seconds, Total memory usage: 32.09MB