Magma V2.19-8 Tue Aug 20 2013 16:14:43 on localhost [Seed = 3718005185] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s700 geometric_solution 5.20620780 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.484969554414 0.246513645219 2 0 3 0 0132 2310 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.876422967597 0.586402769442 1 4 3 5 0132 0132 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.935911238544 0.993239878520 5 2 4 1 1023 1230 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 1 0 -1 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.935911238544 0.993239878520 4 2 4 3 2310 0132 3201 0132 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 -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 0.065067953223 0.939851669415 5 3 2 5 3012 1023 0132 1230 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 -1 0 0 1 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.065067953223 0.939851669415 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], '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_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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_3, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 228302681358/4465488901*c_0101_3^20 - 3377654851470/4465488901*c_0101_3^18 + 19176296280148/4465488901*c_0101_3^16 - 59639700136301/4465488901*c_0101_3^14 + 133777796000545/4465488901*c_0101_3^12 - 197335269059952/4465488901*c_0101_3^10 + 119183154975051/4465488901*c_0101_3^8 - 97069633883593/4465488901*c_0101_3^6 + 73828648557656/4465488901*c_0101_3^4 - 22463447417432/4465488901*c_0101_3^2 + 1913922408139/4465488901, c_0011_0 - 1, c_0011_1 + 8401130639/4465488901*c_0101_3^20 - 122769995492/4465488901*c_0101_3^18 + 683670087208/4465488901*c_0101_3^16 - 2074478175998/4465488901*c_0101_3^14 + 4567235438376/4465488901*c_0101_3^12 - 6494551859292/4465488901*c_0101_3^10 + 3340154241339/4465488901*c_0101_3^8 - 3147862447080/4465488901*c_0101_3^6 + 2225950571224/4465488901*c_0101_3^4 - 509046579840/4465488901*c_0101_3^2 + 32051848621/4465488901, c_0011_3 + 18659792077/4465488901*c_0101_3^21 - 269113784867/4465488901*c_0101_3^19 + 1467233247834/4465488901*c_0101_3^17 - 4330165899261/4465488901*c_0101_3^15 + 9333341618041/4465488901*c_0101_3^13 - 12689583059698/4465488901*c_0101_3^11 + 5097306716819/4465488901*c_0101_3^9 - 6154293196097/4465488901*c_0101_3^7 + 3806538681615/4465488901*c_0101_3^5 - 480393259322/4465488901*c_0101_3^3 + 20641228865/4465488901*c_0101_3, c_0101_0 - 10634652968/4465488901*c_0101_3^20 + 154703999982/4465488901*c_0101_3^18 - 855286524026/4465488901*c_0101_3^16 + 2570930169498/4465488901*c_0101_3^14 - 5619557243766/4465488901*c_0101_3^12 + 7872059973139/4465488901*c_0101_3^10 - 3754201966172/4465488901*c_0101_3^8 + 3792591417132/4465488901*c_0101_3^6 - 2569420656293/4465488901*c_0101_3^4 + 508360018212/4465488901*c_0101_3^2 - 24305103046/4465488901, c_0101_1 + 19184226927/4465488901*c_0101_3^20 - 278938658357/4465488901*c_0101_3^18 + 1540926385353/4465488901*c_0101_3^16 - 4627424111006/4465488901*c_0101_3^14 + 10108269237907/4465488901*c_0101_3^12 - 14141883131064/4465488901*c_0101_3^10 + 6702355004512/4465488901*c_0101_3^8 - 6842560180419/4465488901*c_0101_3^6 + 4619165291760/4465488901*c_0101_3^4 - 894455287768/4465488901*c_0101_3^2 + 46246151797/4465488901, c_0101_3^22 - 15*c_0101_3^20 + 87*c_0101_3^18 - 278*c_0101_3^16 + 637*c_0101_3^14 - 977*c_0101_3^12 + 683*c_0101_3^10 - 510*c_0101_3^8 + 402*c_0101_3^6 - 154*c_0101_3^4 + 22*c_0101_3^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB