Magma V2.19-8 Tue Aug 20 2013 23:46:45 on localhost [Seed = 1377056886] Type ? for help. Type -D to quit. Loading file "K14n2601__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n2601 geometric_solution 11.10340335 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 1 0 -1 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 0.427640782620 1.072468159320 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 1 -1 0 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 -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 0.586761583224 0.764801567095 7 0 9 8 1023 0132 0132 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 -1 1 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 -0.097041983634 1.118148564922 5 10 8 0 3012 0132 2103 0132 0 0 0 0 0 0 0 0 -1 0 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 1 0 0 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.764907113558 0.717883282634 10 8 0 7 2103 2103 0132 0132 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 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 0.806380235681 0.925063040183 7 1 11 3 0132 0132 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.116364272479 0.802740574819 11 9 1 8 2031 1023 0132 2103 0 0 0 0 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575543247345 0.586459766814 5 2 4 1 0132 1023 0132 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 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 0.455374183810 0.875622733303 3 4 2 6 2103 2103 0132 2103 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 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 0.820692208356 1.341551590735 6 10 11 2 1023 0321 3012 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 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 -0.069941890179 1.106270180093 11 3 4 9 0132 0132 2103 0321 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 -1 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 0.475264476043 0.384675661266 10 9 6 5 0132 1230 1302 0132 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 1 0 -1 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 1.426023340375 0.870576182200 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_6'], 'c_1001_10' : d['c_0011_4'], 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : d['c_0011_8'], 'c_1001_7' : d['c_0101_2'], 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0011_8'], 'c_1001_2' : d['c_0011_8'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0011_4'], 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : d['c_0011_8'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_6']), 'c_0101_10' : d['c_0101_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_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_0011_11' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0110_6']), 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : negation(d['c_0110_8']), 'c_1100_7' : negation(d['c_0110_8']), 'c_1100_6' : negation(d['c_0110_8']), 'c_1100_1' : negation(d['c_0110_8']), 'c_1100_0' : negation(d['c_0110_8']), 'c_1100_3' : negation(d['c_0110_8']), 'c_1100_2' : negation(d['c_0110_6']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_0'], 'c_1100_10' : d['c_0011_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_3'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0101_9'], 'c_1010_0' : d['c_0011_8'], 'c_1010_9' : d['c_0011_8'], 'c_1010_8' : negation(d['c_0101_2']), '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_6'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0110_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : negation(d['c_0011_6']), 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_3'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_6']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_9, c_0110_6, c_0110_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 4841068178818224/218882538547*c_0110_8^9 + 3388605825270384/218882538547*c_0110_8^8 + 2778283111040316/218882538547*c_0110_8^7 + 2816470303235228/218882538547*c_0110_8^6 + 849535861408220/218882538547*c_0110_8^5 + 236549044215930/218882538547*c_0110_8^4 + 937642661459461/437765077094*c_0110_8^3 - 59579953931219/437765077094*c_0110_8^2 + 338033500646067/218882538547*c_0110_8 + 355191975452667/437765077094, c_0011_0 - 1, c_0011_10 + 772431192/74729443*c_0110_8^9 + 161115744/74729443*c_0110_8^8 + 425498764/74729443*c_0110_8^7 + 242225292/74729443*c_0110_8^6 - 93425789/74729443*c_0110_8^5 - 100066838/74729443*c_0110_8^4 + 11189231/74729443*c_0110_8^3 - 78696830/74729443*c_0110_8^2 + 39759367/74729443*c_0110_8 - 38196567/74729443, c_0011_4 + 772431192/74729443*c_0110_8^9 + 161115744/74729443*c_0110_8^8 + 425498764/74729443*c_0110_8^7 + 242225292/74729443*c_0110_8^6 - 93425789/74729443*c_0110_8^5 - 100066838/74729443*c_0110_8^4 + 11189231/74729443*c_0110_8^3 - 78696830/74729443*c_0110_8^2 + 39759367/74729443*c_0110_8 - 38196567/74729443, c_0011_6 - 1074925872/74729443*c_0110_8^9 - 414920184/74729443*c_0110_8^8 - 302603840/74729443*c_0110_8^7 - 711086660/74729443*c_0110_8^6 - 291413758/74729443*c_0110_8^5 - 55809159/74729443*c_0110_8^4 - 264168869/74729443*c_0110_8^3 + 28394761/74729443*c_0110_8^2 - 60416506/74729443*c_0110_8 - 22366867/74729443, c_0011_8 - 972161712/74729443*c_0110_8^9 - 371996808/74729443*c_0110_8^8 - 741613016/74729443*c_0110_8^7 - 460880372/74729443*c_0110_8^6 - 68442058/74729443*c_0110_8^5 - 178135121/74729443*c_0110_8^4 + 30807960/74729443*c_0110_8^3 + 76156640/74729443*c_0110_8^2 - 67517105/74729443*c_0110_8 + 13761143/74729443, c_0101_0 + 76859784/74729443*c_0110_8^9 + 726789432/74729443*c_0110_8^8 + 1010289148/74729443*c_0110_8^7 + 928651920/74729443*c_0110_8^6 + 335535433/74729443*c_0110_8^5 + 51279005/74729443*c_0110_8^4 - 41495694/74729443*c_0110_8^3 - 44910073/74729443*c_0110_8^2 + 46998069/74729443*c_0110_8 + 21251685/74729443, c_0101_1 - 972161712/74729443*c_0110_8^9 - 371996808/74729443*c_0110_8^8 - 741613016/74729443*c_0110_8^7 - 460880372/74729443*c_0110_8^6 - 68442058/74729443*c_0110_8^5 - 178135121/74729443*c_0110_8^4 + 30807960/74729443*c_0110_8^3 + 76156640/74729443*c_0110_8^2 - 67517105/74729443*c_0110_8 + 13761143/74729443, c_0101_2 - 1790511408/74729443*c_0110_8^9 - 197926080/74729443*c_0110_8^8 - 423867032/74729443*c_0110_8^7 - 103854456/74729443*c_0110_8^6 + 344328010/74729443*c_0110_8^5 + 48750916/74729443*c_0110_8^4 - 164852130/74729443*c_0110_8^3 + 75358980/74729443*c_0110_8^2 - 79878764/74729443*c_0110_8 + 63806619/74729443, c_0101_3 - 1981535544/74729443*c_0110_8^9 - 1110464736/74729443*c_0110_8^8 - 1147057484/74729443*c_0110_8^7 - 974879308/74729443*c_0110_8^6 - 503854159/74729443*c_0110_8^5 - 146289426/74729443*c_0110_8^4 - 154980461/74729443*c_0110_8^3 - 2223808/74729443*c_0110_8^2 - 119585825/74729443*c_0110_8 - 22624805/74729443, c_0101_9 + 417940128/74729443*c_0110_8^9 + 435044808/74729443*c_0110_8^8 + 911316024/74729443*c_0110_8^7 + 643603340/74729443*c_0110_8^6 + 254186732/74729443*c_0110_8^5 + 43563873/74729443*c_0110_8^4 - 29192421/74729443*c_0110_8^3 + 101402942/74729443*c_0110_8^2 + 65285227/74729443*c_0110_8 - 3563558/74729443, c_0110_6 - 1706387832/74729443*c_0110_8^9 - 1415702472/74729443*c_0110_8^8 - 1208839436/74729443*c_0110_8^7 - 739871104/74729443*c_0110_8^6 - 59078035/74729443*c_0110_8^5 - 73971127/74729443*c_0110_8^4 - 175146383/74729443*c_0110_8^3 + 77772179/74729443*c_0110_8^2 - 100601919/74729443*c_0110_8 - 8865905/74729443, c_0110_8^10 + 2/3*c_0110_8^9 + 13/18*c_0110_8^8 + 11/18*c_0110_8^7 + 17/72*c_0110_8^6 + 1/9*c_0110_8^5 + 7/72*c_0110_8^4 + 1/12*c_0110_8^2 + 1/36*c_0110_8 + 1/72 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.790 Total time: 2.000 seconds, Total memory usage: 32.09MB