Magma V2.19-8 Wed Aug 21 2013 00:57:55 on localhost [Seed = 2463402032] Type ? for help. Type -D to quit. Loading file "L13n4603__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4603 geometric_solution 11.63108079 oriented_manifold CS_known -0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 -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 0.915351638679 1.003816498926 0 5 7 6 0132 0132 0132 0132 1 1 0 1 0 0 0 0 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 0 0 0 1 0 -1 0 -1 2 0 -1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.192565892602 0.756869293623 8 0 9 7 0132 0132 0132 1230 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 -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 0.239991486243 1.334264213905 10 9 4 0 0132 0132 0213 0132 1 1 0 1 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 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 0.854665229276 0.460530135083 11 3 0 6 0132 0213 0132 2103 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 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 0.323885364303 0.609444272530 8 1 9 8 1023 0132 2103 2103 1 1 1 0 0 0 0 0 -1 0 0 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 0 0 0 0 2 0 0 -2 0 3 0 -3 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.760008513757 1.334264213905 10 12 1 4 2103 0132 0132 2103 1 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 0 0 0 0 0 0 0 0 0 0 0 -3 2 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.320031470291 1.279474072016 2 10 11 1 3012 2103 3120 0132 1 1 1 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 1 -1 0 -1 0 0 1 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518364648814 0.787198186980 2 5 12 5 0132 1023 1302 2103 1 1 1 0 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 -1 3 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 0.360813418715 0.273533013463 5 3 11 2 2103 0132 1230 0132 1 1 1 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 0 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.869417752022 0.725989172262 3 7 6 12 0132 2103 2103 3012 1 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 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 0.854665229276 0.460530135083 4 12 7 9 0132 2310 3120 3012 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 0 0 0 0 0 1 0 -1 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 0.684283402710 1.240906137357 8 6 10 11 2031 0132 1230 3201 1 1 0 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 1 0 -1 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 0.083412775502 0.989164101509 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : d['c_0110_6'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_0101_12'], 'c_1001_0' : d['c_0101_7'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_7'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : negation(d['c_0101_5']), 'c_1010_10' : negation(d['c_0101_12']), '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'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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' : 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' : d['1'], 's_0_1' : 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_2']), 'c_1100_4' : negation(d['c_0110_6']), 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : negation(d['c_0110_6']), 'c_1100_3' : negation(d['c_0110_6']), 'c_1100_2' : d['c_0101_1'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : negation(d['c_0110_6']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_12'], 'c_1010_6' : d['c_0110_6'], 'c_1010_5' : d['c_0101_12'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : d['c_0101_7'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0101_12']), 'c_1100_8' : d['c_0101_12'], 's_3_1' : 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'], 'c_1100_12' : negation(d['c_0011_11']), '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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_12']), '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_1'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_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_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_5'], 'c_0101_8' : negation(d['c_0011_12']), 's_1_12' : d['1'], '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' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_12']), 'c_0110_5' : negation(d['c_0101_12']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} 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_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_5, c_0101_7, c_0110_6, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 33/85*c_0110_6^5 + 26/85*c_0110_6^4 - 46/85*c_0110_6^3 - 29/85*c_0110_6^2 + 57/85*c_0110_6 - 19/85, c_0011_0 - 1, c_0011_10 + c_0110_6^4 + c_0110_6^3, c_0011_11 + c_0110_6^5 + c_0110_6^2, c_0011_12 - c_0110_6^4 - c_0110_6^3, c_0101_0 + c_0110_6^5 + c_0110_6^4 - c_0110_6^3 - 1, c_0101_1 - 1, c_0101_11 + c_0110_6^4 - 1, c_0101_12 + c_0110_6^2, c_0101_2 + c_0110_6^5 + c_0110_6^4 - c_0110_6^3 - c_0110_6^2 + c_0110_6 - 1, c_0101_5 - 1, c_0101_7 - c_0110_6^5 - c_0110_6^4 + c_0110_6^3 - c_0110_6 + 1, c_0110_6^6 - c_0110_6^4 + c_0110_6^3 - c_0110_6 + 1, c_1001_2 + 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_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_5, c_0101_7, c_0110_6, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 7875654119/6269440*c_1001_2^7 + 10679190371939/1536012800*c_1001_2^\ 6 - 28047288032857/1536012800*c_1001_2^5 + 45501697254081/1536012800*c_1001_2^4 - 40152388977/1253888*c_1001_2^3 + 33689522068921/1536012800*c_1001_2\ ^2 - 15021884918707/1536012800*c_1001_2 + 3271246293019/1536012800, c_0011_0 - 1, c_0011_10 + 97069/50560*c_1001_2^7 - 100429/10112*c_1001_2^6 + 239355/10112*c_1001_2^5 - 1720347/50560*c_1001_2^4 + 1593191/50560*c_1001_2^3 - 803059/50560*c_1001_2^2 + 218093/50560*c_1001_2 - 18073/50560, c_0011_11 + 147/80*c_1001_2^7 - 1727/160*c_1001_2^6 + 301/10*c_1001_2^5 - 1673/32*c_1001_2^4 + 4823/80*c_1001_2^3 - 7117/160*c_1001_2^2 + 801/40*c_1001_2 - 115/32, c_0011_12 + 1617/3160*c_1001_2^7 - 4943/2528*c_1001_2^6 + 2995/1264*c_1001_2^5 + 14301/12640*c_1001_2^4 - 11421/1580*c_1001_2^3 + 142067/12640*c_1001_2^2 - 53137/6320*c_1001_2 + 39659/12640, c_0101_0 + 235347/50560*c_1001_2^7 - 1247591/50560*c_1001_2^6 + 3097553/50560*c_1001_2^5 - 938713/10112*c_1001_2^4 + 4681993/50560*c_1001_2^3 - 2849861/50560*c_1001_2^2 + 1170507/50560*c_1001_2 - 49827/10112, c_0101_1 - 1, c_0101_11 + 539/640*c_1001_2^7 - 3501/640*c_1001_2^6 + 10313/640*c_1001_2^5 - 18351/640*c_1001_2^4 + 21761/640*c_1001_2^3 - 16663/640*c_1001_2^2 + 7571/640*c_1001_2 - 1749/640, c_0101_12 + 441/160*c_1001_2^7 - 2419/160*c_1001_2^6 + 6237/160*c_1001_2^5 - 9739/160*c_1001_2^4 + 9919/160*c_1001_2^3 - 6157/160*c_1001_2^2 + 2459/160*c_1001_2 - 501/160, c_0101_2 + 637/320*c_1001_2^7 - 3603/320*c_1001_2^6 + 9939/320*c_1001_2^5 - 17333/320*c_1001_2^4 + 20703/320*c_1001_2^3 - 16129/320*c_1001_2^2 + 8073/320*c_1001_2 - 1887/320, c_0101_5 - 58359/50560*c_1001_2^7 + 392177/50560*c_1001_2^6 - 1186821/50560*c_1001_2^5 + 430527/10112*c_1001_2^4 - 2589381/50560*c_1001_2^3 + 2037987/50560*c_1001_2^2 - 942839/50560*c_1001_2 + 51141/10112, c_0101_7 + 181839/50560*c_1001_2^7 - 1002661/50560*c_1001_2^6 + 2615873/50560*c_1001_2^5 - 4180771/50560*c_1001_2^4 + 4405541/50560*c_1001_2^3 - 2879463/50560*c_1001_2^2 + 1212211/50560*c_1001_2 - 246249/50560, c_0110_6 + 49/320*c_1001_2^7 - 51/320*c_1001_2^6 - 187/320*c_1001_2^5 + 509/320*c_1001_2^4 - 529/320*c_1001_2^3 + 267/320*c_1001_2^2 + 251/320*c_1001_2 - 69/320, c_1001_2^8 - 296/49*c_1001_2^7 + 852/49*c_1001_2^6 - 1528/49*c_1001_2^5 + 38*c_1001_2^4 - 1528/49*c_1001_2^3 + 852/49*c_1001_2^2 - 296/49*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.530 Total time: 0.740 seconds, Total memory usage: 32.09MB