Magma V2.19-8 Tue Aug 20 2013 16:16:51 on localhost [Seed = 779072248] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1112 geometric_solution 4.97677029 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 2310 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 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 -0.323884440946 1.138422234797 0 0 1 1 0132 3201 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428593313737 0.087948338942 3 0 5 4 3201 0132 0132 0132 0 0 0 0 0 1 -1 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 -2 1 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 0.471851208874 1.186955866804 4 5 0 2 1023 1023 0132 2310 0 0 0 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 -1 2 -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 0.471851208874 1.186955866804 6 3 2 6 0132 1023 0132 1023 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 -1 1 -1 0 1 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 0.651320041861 0.205250357310 3 5 5 2 1023 1230 3012 0132 0 0 0 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 1 -1 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 1.312920434342 0.703253991348 4 6 6 4 0132 1230 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.312920434342 0.703253991348 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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' : negation(d['1']), 's_2_6' : 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' : d['1'], 's_1_0' : d['1'], 's_0_6' : 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_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_3'], '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_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 967023840/9660169*c_0101_6^8 + 11279362384/9660169*c_0101_6^7 - 3239390700/9660169*c_0101_6^6 - 37128801120/9660169*c_0101_6^5 + 83930510462/9660169*c_0101_6^4 - 103071125761/9660169*c_0101_6^3 + 65182644395/9660169*c_0101_6^2 - 22176308695/9660169*c_0101_6 + 2680769941/9660169, c_0011_0 - 1, c_0011_3 + 63306572/9660169*c_0101_2*c_0101_6^8 - 674638448/9660169*c_0101_2*c_0101_6^7 - 455356026/9660169*c_0101_2*c_0101_6^6 + 1844528553/9660169*c_0101_2*c_0101_6^5 - 3743938587/9660169*c_0101_2*c_0101_6^4 + 3305050097/9660169*c_0101_2*c_0101_6^3 - 1607400453/9660169*c_0101_2*c_0101_6^2 + 372083612/9660169*c_0101_2*c_0101_6 - 42656000/9660169*c_0101_2, c_0101_0 + 119780660/9660169*c_0101_6^8 - 1297451540/9660169*c_0101_6^7 - 641658654/9660169*c_0101_6^6 + 3681431101/9660169*c_0101_6^5 - 7675392036/9660169*c_0101_6^4 + 7378602586/9660169*c_0101_6^3 - 3904597052/9660169*c_0101_6^2 + 1013801760/9660169*c_0101_6 - 106605581/9660169, c_0101_1 + 27209056/9660169*c_0101_6^8 - 289756472/9660169*c_0101_6^7 - 197596488/9660169*c_0101_6^6 + 788099528/9660169*c_0101_6^5 - 1602398574/9660169*c_0101_6^4 + 1431122082/9660169*c_0101_6^3 - 687862685/9660169*c_0101_6^2 + 173061468/9660169*c_0101_6 - 12276648/9660169, c_0101_2^2 + 25328152/9660169*c_0101_6^8 - 267640664/9660169*c_0101_6^7 - 204449184/9660169*c_0101_6^6 + 700718170/9660169*c_0101_6^5 - 1446836222/9660169*c_0101_6^4 + 1254917965/9660169*c_0101_6^3 - 628131926/9660169*c_0101_6^2 + 168669695/9660169*c_0101_6 - 19728698/9660169, c_0101_5 - 90515628/9660169*c_0101_6^8 + 964394920/9660169*c_0101_6^7 + 652952514/9660169*c_0101_6^6 - 2632628081/9660169*c_0101_6^5 + 5346337161/9660169*c_0101_6^4 - 4736172179/9660169*c_0101_6^3 + 2295263138/9660169*c_0101_6^2 - 545145080/9660169*c_0101_6 + 54932648/9660169, c_0101_6^9 - 11*c_0101_6^8 - 7/2*c_0101_6^7 + 125/4*c_0101_6^6 - 139/2*c_0101_6^5 + 147/2*c_0101_6^4 - 45*c_0101_6^3 + 63/4*c_0101_6^2 - 3*c_0101_6 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB