Magma V2.19-8 Tue Aug 20 2013 16:14:43 on localhost [Seed = 3313785305] 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' : 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_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 - 1567330690/2242283*c_0101_3^20 + 23202027534/2242283*c_0101_3^18 - 106719068354/2242283*c_0101_3^16 + 320668927075/2242283*c_0101_3^14 - 797279792137/2242283*c_0101_3^12 + 1427400877414/2242283*c_0101_3^10 - 1713482589985/2242283*c_0101_3^8 + 1404043554673/2242283*c_0101_3^6 - 605737974594/2242283*c_0101_3^4 + 117490265270/2242283*c_0101_3^2 - 7774342005/2242283, c_0011_0 - 1, c_0011_1 - 4201311/38118811*c_0101_3^20 + 75862244/38118811*c_0101_3^18 - 485262240/38118811*c_0101_3^16 + 1744464658/38118811*c_0101_3^14 - 4729778132/38118811*c_0101_3^12 + 10177871928/38118811*c_0101_3^10 - 15564139323/38118811*c_0101_3^8 + 16142429684/38118811*c_0101_3^6 - 10940911624/38118811*c_0101_3^4 + 3355704412/38118811*c_0101_3^2 - 319847781/38118811, c_0011_3 + 437500843/38118811*c_0101_3^21 - 6451011313/38118811*c_0101_3^19 + 29421996258/38118811*c_0101_3^17 - 87928198619/38118811*c_0101_3^15 + 218006238193/38118811*c_0101_3^13 - 387415231004/38118811*c_0101_3^11 + 459826465679/38118811*c_0101_3^9 - 372103158589/38118811*c_0101_3^7 + 155044627817/38118811*c_0101_3^5 - 29360211384/38118811*c_0101_3^3 + 2060373697/38118811*c_0101_3, c_0101_0 + 59363666/38118811*c_0101_3^20 - 872347526/38118811*c_0101_3^18 + 3950030174/38118811*c_0101_3^16 - 11755232714/38118811*c_0101_3^14 + 29087979568/38118811*c_0101_3^12 - 51390191867/38118811*c_0101_3^10 + 60502629308/38118811*c_0101_3^8 - 48611818482/38118811*c_0101_3^6 + 19890799727/38118811*c_0101_3^4 - 3925909058/38118811*c_0101_3^2 + 320749436/38118811, c_0101_1 - 107300021/38118811*c_0101_3^20 + 1564701351/38118811*c_0101_3^18 - 6961722915/38118811*c_0101_3^16 + 20437259956/38118811*c_0101_3^14 - 50168343137/38118811*c_0101_3^12 + 86934235532/38118811*c_0101_3^10 - 98833639504/38118811*c_0101_3^8 + 75563417951/38118811*c_0101_3^6 - 26199005128/38118811*c_0101_3^4 + 3295819940/38118811*c_0101_3^2 - 79534251/38118811, c_0101_3^22 - 15*c_0101_3^20 + 71*c_0101_3^18 - 218*c_0101_3^16 + 549*c_0101_3^14 - 1011*c_0101_3^12 + 1273*c_0101_3^10 - 1112*c_0101_3^8 + 564*c_0101_3^6 - 152*c_0101_3^4 + 20*c_0101_3^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB