Magma V2.19-8 Tue Aug 20 2013 16:14:09 on localhost [Seed = 2968595606] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s101 geometric_solution 3.95156787 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.410982872466 0.131797461178 0 2 2 0 3201 0132 1023 0132 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 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 1.159694912866 0.148071431454 3 1 1 3 0132 0132 1023 1023 0 0 0 0 0 1 0 -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 1 0 -1 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 1.103257525318 0.412207881805 2 4 5 2 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 -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 1 0 -1 0 0 -1 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 0.510764520321 0.310435978700 5 3 5 5 2103 0132 3201 2031 0 0 0 0 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 -1 0 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 0.516443217613 0.898897421428 4 4 4 3 2310 1302 2103 0132 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 0 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 0.516443217613 0.898897421428 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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_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_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0011_1']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_5, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 674928438613/1243795561*c_0101_3^14 + 943321644670/1243795561*c_0101_3^13 + 9174030426078/1243795561*c_0101_3^12 - 22579263847145/1243795561*c_0101_3^11 - 22117089839345/1243795561*c_0101_3^10 + 99070439691587/1243795561*c_0101_3^9 - 21273206949945/1243795561*c_0101_3^8 - 162632524874674/1243795561*c_0101_3^7 + 39114378067052/1243795561*c_0101_3^6 + 147531628430338/1243795561*c_0101_3^5 + 10702593150836/1243795561*c_0101_3^4 - 71101398235671/1243795561*c_0101_3^3 - 17881899035207/1243795561*c_0101_3^2 + 9494489804398/1243795561*c_0101_3 + 2683958032377/1243795561, c_0011_0 - 1, c_0011_1 - 8801919843/1243795561*c_0101_3^14 + 13401156548/1243795561*c_0101_3^13 + 119180373210/1243795561*c_0101_3^12 - 309728815034/1243795561*c_0101_3^11 - 266712420286/1243795561*c_0101_3^10 + 1347625627334/1243795561*c_0101_3^9 - 381177813753/1243795561*c_0101_3^8 - 2183126403817/1243795561*c_0101_3^7 + 700682977964/1243795561*c_0101_3^6 + 2046128715851/1243795561*c_0101_3^5 + 39386115891/1243795561*c_0101_3^4 - 1038561560003/1243795561*c_0101_3^3 - 237070508392/1243795561*c_0101_3^2 + 142623247496/1243795561*c_0101_3 + 38343631068/1243795561, c_0011_5 + 2171928012/1243795561*c_0101_3^14 - 3721043364/1243795561*c_0101_3^13 - 29251253559/1243795561*c_0101_3^12 + 82246832627/1243795561*c_0101_3^11 + 57773539912/1243795561*c_0101_3^10 - 354575036830/1243795561*c_0101_3^9 + 134196535816/1243795561*c_0101_3^8 + 565074394859/1243795561*c_0101_3^7 - 250848342834/1243795561*c_0101_3^6 - 550954733632/1243795561*c_0101_3^5 + 34493821597/1243795561*c_0101_3^4 + 297910381819/1243795561*c_0101_3^3 + 57477444510/1243795561*c_0101_3^2 - 43402977450/1243795561*c_0101_3 - 10718788846/1243795561, c_0101_0 + 3560156966/1243795561*c_0101_3^14 - 5375000570/1243795561*c_0101_3^13 - 48757338763/1243795561*c_0101_3^12 + 125014030406/1243795561*c_0101_3^11 + 116033289428/1243795561*c_0101_3^10 - 555248226980/1243795561*c_0101_3^9 + 126892707077/1243795561*c_0101_3^8 + 935962116839/1243795561*c_0101_3^7 - 262191193894/1243795561*c_0101_3^6 - 914446406118/1243795561*c_0101_3^5 - 53329917592/1243795561*c_0101_3^4 + 466953150762/1243795561*c_0101_3^3 + 131892875307/1243795561*c_0101_3^2 - 62472366466/1243795561*c_0101_3 - 19735362064/1243795561, c_0101_2 - 2299304953/1243795561*c_0101_3^14 + 4241525498/1243795561*c_0101_3^13 + 30584928447/1243795561*c_0101_3^12 - 91043848930/1243795561*c_0101_3^11 - 51758784553/1243795561*c_0101_3^10 + 384061857918/1243795561*c_0101_3^9 - 180335716412/1243795561*c_0101_3^8 - 587218453123/1243795561*c_0101_3^7 + 319639108522/1243795561*c_0101_3^6 + 573311605622/1243795561*c_0101_3^5 - 74938523490/1243795561*c_0101_3^4 - 318075175751/1243795561*c_0101_3^3 - 46163776699/1243795561*c_0101_3^2 + 44854438590/1243795561*c_0101_3 + 9457936833/1243795561, c_0101_3^15 - c_0101_3^14 - 14*c_0101_3^13 + 28*c_0101_3^12 + 44*c_0101_3^11 - 131*c_0101_3^10 - 19*c_0101_3^9 + 240*c_0101_3^8 + 28*c_0101_3^7 - 216*c_0101_3^6 - 84*c_0101_3^5 + 86*c_0101_3^4 + 52*c_0101_3^3 - 5*c_0101_3^2 - 7*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB