Magma V2.19-8 Tue Aug 20 2013 23:47:39 on localhost [Seed = 2799750388] Type ? for help. Type -D to quit. Loading file "L11a37__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a37 geometric_solution 10.31877867 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 0 2 0 0132 1302 0132 2031 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 0 1 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.492193654133 0.301974611094 0 3 2 4 0132 0132 3012 0132 0 1 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 -2 1 1 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 0.228595426644 0.617921120848 5 1 6 0 0132 1230 0132 0132 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 -1 0 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 0.923197821502 1.056343319212 6 1 7 7 2310 0132 0132 3120 0 1 1 1 0 1 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 2 0 -2 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 0.904564939226 1.806537645212 5 8 1 9 2103 0132 0132 0132 0 1 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 -1 -1 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 1.952282469613 0.903268822606 2 7 4 8 0132 0132 2103 0132 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 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 0.642528097791 1.416072918471 10 11 3 2 0132 0132 3201 0132 1 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 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 0.095018731860 0.944048612314 3 5 9 3 3120 0132 0213 0132 0 1 1 0 0 0 0 0 -1 0 0 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 -1 1 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.029161079749 0.552004555911 10 4 5 10 2103 0132 0132 3201 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 1 -1 0 0 0 1 -1 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.058322159497 1.104009111822 11 7 4 11 0213 0213 0132 3012 0 1 1 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 0 -2 2 0 0 0 0 0 1 0 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.058322159497 1.104009111822 6 8 8 11 0132 2310 2103 1023 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 -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 1.058322159497 1.104009111822 9 6 9 10 0213 0132 1230 1023 1 1 1 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 1 -1 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447226846706 0.524322111638 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_4']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_1001_11'], 'c_1001_9' : d['c_1001_7'], 'c_1001_8' : d['c_1001_7'], 'c_1010_11' : negation(d['c_0101_3']), 'c_1010_10' : d['c_0110_11'], 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_9'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : 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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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_1001_11']), 'c_1100_8' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : negation(d['c_1001_11']), 'c_1100_7' : negation(d['c_0011_9']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_1001_11']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_9']), 'c_1100_2' : negation(d['c_0011_0']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_11']), 'c_1100_10' : d['c_0110_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_1001_7'], 'c_1010_4' : d['c_1001_7'], 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : negation(d['c_0011_9']), 'c_1010_8' : d['c_0011_4'], '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' : negation(d['1']), 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : negation(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' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_2'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : negation(d['c_0101_3']), 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0110_11']), 'c_0110_8' : negation(d['c_0110_11']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_10']})} 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_2, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0110_11, c_1001_11, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 112949848426111/95739926645198*c_1001_7^6 - 1327475550861719/95739926645198*c_1001_7^5 - 240617083183063/8703629695018*c_1001_7^4 - 118825641406275/5631760390894*c_1001_7^3 + 367615173927093/95739926645198*c_1001_7^2 - 4901890441641/296408441626*c_1001_7 + 794379756972837/47869963322599, c_0011_0 - 1, c_0011_10 + 30181/569519*c_1001_7^6 - 316906/569519*c_1001_7^5 - 1158138/569519*c_1001_7^4 - 1369016/569519*c_1001_7^3 - 129754/569519*c_1001_7^2 - 778457/569519*c_1001_7 - 253991/569519, c_0011_2 + 1, c_0011_4 + 5499/569519*c_1001_7^6 - 70308/569519*c_1001_7^5 - 52882/569519*c_1001_7^4 - 82605/569519*c_1001_7^3 + 52594/569519*c_1001_7^2 - 463269/569519*c_1001_7 + 286667/569519, c_0011_9 - 5499/569519*c_1001_7^6 + 70308/569519*c_1001_7^5 + 52882/569519*c_1001_7^4 + 82605/569519*c_1001_7^3 - 52594/569519*c_1001_7^2 + 463269/569519*c_1001_7 - 286667/569519, c_0101_0 - 51316/569519*c_1001_7^6 + 616025/569519*c_1001_7^5 + 1066218/569519*c_1001_7^4 + 469167/569519*c_1001_7^3 - 1331978/569519*c_1001_7^2 + 1163629/569519*c_1001_7 - 739357/569519, c_0101_1 + 39449/569519*c_1001_7^6 - 453113/569519*c_1001_7^5 - 1039819/569519*c_1001_7^4 - 1049951/569519*c_1001_7^3 - 287707/569519*c_1001_7^2 - 165124/569519*c_1001_7 - 25102/569519, c_0101_10 - 10457/569519*c_1001_7^6 + 57266/569519*c_1001_7^5 + 1005847/569519*c_1001_7^4 + 1895157/569519*c_1001_7^3 + 774098/569519*c_1001_7^2 + 573054/569519*c_1001_7 + 915381/569519, c_0101_3 + 70713/2278076*c_1001_7^6 - 217638/569519*c_1001_7^5 - 283257/569519*c_1001_7^4 - 530653/1139038*c_1001_7^3 - 58821/569519*c_1001_7^2 - 2543905/2278076*c_1001_7 + 211417/2278076, c_0110_11 - 52179/4556152*c_1001_7^6 + 116451/1139038*c_1001_7^5 + 710035/1139038*c_1001_7^4 + 2951951/2278076*c_1001_7^3 + 384021/569519*c_1001_7^2 + 1001131/4556152*c_1001_7 + 2942125/4556152, c_1001_11 + 49905/569519*c_1001_7^6 - 576546/569519*c_1001_7^5 - 1310429/569519*c_1001_7^4 - 842875/569519*c_1001_7^3 + 514590/569519*c_1001_7^2 - 983860/569519*c_1001_7 + 407399/569519, c_1001_7^7 - 12*c_1001_7^6 - 20*c_1001_7^5 - 18*c_1001_7^4 - 8*c_1001_7^3 - 33*c_1001_7^2 + 9*c_1001_7 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB