Magma V2.19-8 Tue Aug 20 2013 23:44:07 on localhost [Seed = 3398217508] Type ? for help. Type -D to quit. Loading file "L14n1867__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n1867 geometric_solution 10.24919497 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 2 3 0132 0132 1230 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 1 -1 0 0 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 0.452952674634 0.693094390076 0 3 5 4 0132 2103 0132 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 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 0.897403007081 0.670161772812 4 0 4 0 3012 0132 1302 3012 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 0 1 -1 0 0 1 6 1 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.701666022175 0.888992160507 6 1 0 7 0132 2103 0132 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637012054342 1.589774337676 2 7 1 2 2031 3120 0132 1230 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 -1 0 0 1 7 -1 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452952674634 0.693094390076 8 9 7 1 0132 0132 0132 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 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 0.869567050884 1.456332765463 3 9 8 8 0132 1230 0213 0132 0 1 1 1 0 -2 0 2 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 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 0.357107927883 1.132641720614 10 4 3 5 0132 3120 0132 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 0 0 0 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489043052469 0.232442167202 5 6 6 10 0132 0213 0132 0132 0 1 1 1 0 0 -2 2 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 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 0.379021822946 0.667757386209 10 5 6 10 3012 0132 3012 2031 1 0 1 1 0 0 0 0 1 0 2 -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 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 0.379021822946 0.667757386209 7 9 8 9 0132 1302 0132 1230 0 1 1 1 0 3 -2 -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 -1 0 0 0 0 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746804394247 0.803062279383 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_10' : d['c_0110_9'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_1001_4']), 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0011_3'], 'c_1001_8' : d['c_0101_9'], 'c_1010_10' : d['c_0101_9'], 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], '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' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_9']), 'c_1100_8' : d['c_0110_9'], 'c_1100_5' : d['c_0110_2'], 'c_1100_4' : d['c_0110_2'], 'c_1100_7' : d['c_0110_2'], 'c_1100_6' : d['c_0110_9'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_0101_0'], 'c_1100_10' : d['c_0110_9'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0101_9'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : negation(d['c_1001_4']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_0110_9'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(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'], '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_10']), '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_10' : negation(d['c_0011_5']), 'c_0101_7' : negation(d['c_0011_5']), 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], '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_0101_9'], 'c_0101_8' : d['c_0101_1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_9, c_0110_2, c_0110_9, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 304325591/138162042500*c_1001_4^9 + 5285548159/552648170000*c_1001_4^8 + 3916212771/552648170000*c_1001_4^7 - 15804909151/552648170000*c_1001_4^6 - 34623748423/552648170000*c_1001_4^5 - 58310174527/552648170000*c_1001_4^4 - 134326726253/552648170000*c_1001_4^3 - 227929812903/552648170000*c_1001_4^2 - 132257504867/552648170000*c_1001_4 - 93410470943/276324085000, c_0011_0 - 1, c_0011_10 + 19087/1395400*c_1001_4^9 + 13911/279080*c_1001_4^8 - 56587/1395400*c_1001_4^7 - 554641/1395400*c_1001_4^6 - 650153/1395400*c_1001_4^5 - 124143/1395400*c_1001_4^4 - 501611/1395400*c_1001_4^3 - 1835073/1395400*c_1001_4^2 - 125521/174425*c_1001_4 - 63873/27908, c_0011_3 - 123517/1395400*c_1001_4^9 - 138141/279080*c_1001_4^8 - 1325533/1395400*c_1001_4^7 - 693419/1395400*c_1001_4^6 - 273877/1395400*c_1001_4^5 - 2479487/1395400*c_1001_4^4 - 4375549/1395400*c_1001_4^3 - 1963707/1395400*c_1001_4^2 - 650489/174425*c_1001_4 + 51201/27908, c_0011_5 + 39491/697700*c_1001_4^9 + 52783/139540*c_1001_4^8 + 682259/697700*c_1001_4^7 + 813187/697700*c_1001_4^6 + 713171/697700*c_1001_4^5 + 1418001/697700*c_1001_4^4 + 2394027/697700*c_1001_4^3 + 2098611/697700*c_1001_4^2 + 873344/174425*c_1001_4 + 47299/13954, c_0101_0 - 47333/1395400*c_1001_4^9 - 68229/279080*c_1001_4^8 - 920917/1395400*c_1001_4^7 - 1043181/1395400*c_1001_4^6 - 593473/1395400*c_1001_4^5 - 1430563/1395400*c_1001_4^4 - 3509901/1395400*c_1001_4^3 - 3648493/1395400*c_1001_4^2 - 951097/348850*c_1001_4 - 57189/27908, c_0101_1 + 19087/1395400*c_1001_4^9 + 13911/279080*c_1001_4^8 - 56587/1395400*c_1001_4^7 - 554641/1395400*c_1001_4^6 - 650153/1395400*c_1001_4^5 - 124143/1395400*c_1001_4^4 - 501611/1395400*c_1001_4^3 - 1835073/1395400*c_1001_4^2 - 125521/174425*c_1001_4 - 63873/27908, c_0101_10 + 123517/1395400*c_1001_4^9 + 138141/279080*c_1001_4^8 + 1325533/1395400*c_1001_4^7 + 693419/1395400*c_1001_4^6 + 273877/1395400*c_1001_4^5 + 2479487/1395400*c_1001_4^4 + 4375549/1395400*c_1001_4^3 + 1963707/1395400*c_1001_4^2 + 650489/174425*c_1001_4 - 51201/27908, c_0101_9 - 1, c_0110_2 - 25689/348850*c_1001_4^9 - 16291/34885*c_1001_4^8 - 189718/174425*c_1001_4^7 - 353323/348850*c_1001_4^6 - 234059/348850*c_1001_4^5 - 343602/174425*c_1001_4^4 - 663379/174425*c_1001_4^3 - 979819/348850*c_1001_4^2 - 785127/174425*c_1001_4 - 13063/6977, c_0110_9 - 427/6977*c_1001_4^9 - 2634/6977*c_1001_4^8 - 12109/13954*c_1001_4^7 - 5500/6977*c_1001_4^6 - 3205/6977*c_1001_4^5 - 9613/6977*c_1001_4^4 - 39381/13954*c_1001_4^3 - 12885/6977*c_1001_4^2 - 24458/6977*c_1001_4 - 4589/6977, c_1001_4^10 + 6*c_1001_4^9 + 14*c_1001_4^8 + 16*c_1001_4^7 + 18*c_1001_4^6 + 32*c_1001_4^5 + 48*c_1001_4^4 + 48*c_1001_4^3 + 97*c_1001_4^2 + 26*c_1001_4 + 50 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB