Magma V2.19-8 Tue Aug 20 2013 16:17:28 on localhost [Seed = 4290667322] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1692 geometric_solution 5.40967197 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.618897147130 0.785723816335 0 2 3 0 0132 0132 0132 1023 0 0 0 0 0 0 -1 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 -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 0.177340640216 0.506662684495 3 1 4 5 2310 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.655187530709 1.647045729245 4 6 2 1 1230 0132 3201 0132 0 0 0 0 0 -1 0 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 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 0 0 0 0 -0.089317768960 0.597959823802 6 3 6 2 3201 3012 1302 0132 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 -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 0.563873287061 0.152081094277 6 5 2 5 2031 2310 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.111000681539 0.959575539108 4 3 5 4 2031 0132 1302 2310 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 -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 0 0 0 0 0.888999318461 0.959575539108 ==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' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], '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' : d['c_0011_0'], 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : d['c_0110_5'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_4'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0110_5']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : d['c_0101_0']})} 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_0011_4, c_0011_5, c_0101_0, c_0101_2, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 15544544100893109/33956557755935*c_0110_5^20 - 164435171860010881/33956557755935*c_0110_5^18 + 658903917689805888/33956557755935*c_0110_5^16 - 264653331159511499/6791311551187*c_0110_5^14 + 1943894056926462056/33956557755935*c_0110_5^12 - 3224755272887462204/33956557755935*c_0110_5^10 + 3769994086156349934/33956557755935*c_0110_5^8 - 1902131198561636836/33956557755935*c_0110_5^6 + 287139111019438783/33956557755935*c_0110_5^4 - 69832792952310438/33956557755935*c_0110_5^2 + 6535448667055017/33956557755935, c_0011_0 - 1, c_0011_3 + 6683876207172/33956557755935*c_0110_5^20 - 87875053018848/33956557755935*c_0110_5^18 + 450671927957149/33956557755935*c_0110_5^16 - 231705492515733/6791311551187*c_0110_5^14 + 1815568130334028/33956557755935*c_0110_5^12 - 2741942470998767/33956557755935*c_0110_5^10 + 4071548969639067/33956557755935*c_0110_5^8 - 2961956282786323/33956557755935*c_0110_5^6 + 512723088266524/33956557755935*c_0110_5^4 + 45627749173916/33956557755935*c_0110_5^2 + 5199376667086/33956557755935, c_0011_4 - 6725148166629/1476372076345*c_0110_5^21 + 72747630249861/1476372076345*c_0110_5^19 - 301444145122013/1476372076345*c_0110_5^17 + 126900828503015/295274415269*c_0110_5^15 - 955798186120091/1476372076345*c_0110_5^13 + 1557665161268294/1476372076345*c_0110_5^11 - 1909292010470749/1476372076345*c_0110_5^9 + 1116001142823746/1476372076345*c_0110_5^7 - 229247780028483/1476372076345*c_0110_5^5 + 28044602581793/1476372076345*c_0110_5^3 - 5772595712662/1476372076345*c_0110_5, c_0011_5 + 12268551366207/33956557755935*c_0110_5^20 - 136901584418853/33956557755935*c_0110_5^18 + 593178158138494/33956557755935*c_0110_5^16 - 265248504793209/6791311551187*c_0110_5^14 + 2078346271861148/33956557755935*c_0110_5^12 - 3352096299873982/33956557755935*c_0110_5^10 + 4330594717669592/33956557755935*c_0110_5^8 - 2987059836591288/33956557755935*c_0110_5^6 + 990728063967634/33956557755935*c_0110_5^4 - 200051393212149/33956557755935*c_0110_5^2 + 32318604249256/33956557755935, c_0101_0 + 288186638508/1476372076345*c_0110_5^21 - 3630717624252/1476372076345*c_0110_5^19 + 17407527964916/1476372076345*c_0110_5^17 - 7981257418545/295274415269*c_0110_5^15 + 53354469366537/1476372076345*c_0110_5^13 - 79633521373823/1476372076345*c_0110_5^11 + 115227353319803/1476372076345*c_0110_5^9 - 39556033745387/1476372076345*c_0110_5^7 - 38589348649964/1476372076345*c_0110_5^5 + 17212002859829/1476372076345*c_0110_5^3 - 4396675084041/1476372076345*c_0110_5, c_0101_2 + 4273974849159/6791311551187*c_0110_5^21 - 51258900075709/6791311551187*c_0110_5^19 + 242094723771398/6791311551187*c_0110_5^17 - 591794732235081/6791311551187*c_0110_5^15 + 956530008397303/6791311551187*c_0110_5^13 - 1506614084046605/6791311551187*c_0110_5^11 + 2103305058127355/6791311551187*c_0110_5^9 - 1627257058724393/6791311551187*c_0110_5^7 + 582385951390980/6791311551187*c_0110_5^5 - 147470790654528/6791311551187*c_0110_5^3 + 25027024477214/6791311551187*c_0110_5, c_0110_5^22 - 98/9*c_0110_5^20 + 137/3*c_0110_5^18 - 884/9*c_0110_5^16 + 1361/9*c_0110_5^14 - 2212/9*c_0110_5^12 + 2756/9*c_0110_5^10 - 1768/9*c_0110_5^8 + 496/9*c_0110_5^6 - 29/3*c_0110_5^4 + 16/9*c_0110_5^2 - 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB