Magma V2.19-8 Tue Aug 20 2013 16:14:46 on localhost [Seed = 2884253646] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s752 geometric_solution 5.28500408 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 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 0.228203271936 0.181502062852 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 1 -1 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 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 0.087675451890 1.953320739805 1 3 4 5 0132 3201 0132 0132 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 -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 0.271827610280 0.907284101411 5 4 2 1 1023 0132 2310 0132 0 0 0 0 0 1 0 -1 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 1 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 0 0 0 0 0.271827610280 0.907284101411 4 3 4 2 2310 0132 3201 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 -1 0 1 -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 0.696977661236 1.011403330407 5 3 2 5 3201 1023 0132 2310 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 0 -1 1 0 0 -1 1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538032122781 0.670374210749 ==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' : negation(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' : negation(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' : d['c_0011_3'], '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_0']), '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' : negation(d['c_0011_3']), '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_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0101_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' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_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: 6 Groebner basis: [ t - 318688/83*c_0101_3^5 + 397824/83*c_0101_3^4 + 316518/83*c_0101_3^3 - 521367/166*c_0101_3^2 - 35845/83*c_0101_3 + 18570/83, c_0011_0 - 1, c_0011_1 - 5056/83*c_0101_3^5 + 6016/83*c_0101_3^4 + 5292/83*c_0101_3^3 - 3911/83*c_0101_3^2 - 576/83*c_0101_3 + 239/83, c_0011_3 + 3200/83*c_0101_3^5 - 4480/83*c_0101_3^4 - 2408/83*c_0101_3^3 + 2946/83*c_0101_3^2 - 62/83*c_0101_3 - 208/83, c_0101_0 + 6656/83*c_0101_3^5 - 8256/83*c_0101_3^4 - 6496/83*c_0101_3^3 + 5052/83*c_0101_3^2 + 711/83*c_0101_3 - 260/83, c_0101_1 + 6656/83*c_0101_3^5 - 8256/83*c_0101_3^4 - 6496/83*c_0101_3^3 + 5052/83*c_0101_3^2 + 711/83*c_0101_3 - 260/83, c_0101_3^6 - c_0101_3^5 - 21/16*c_0101_3^4 + 37/64*c_0101_3^3 + 21/64*c_0101_3^2 - 1/32*c_0101_3 - 1/64 ], 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: 14 Groebner basis: [ t - 253570199815/26175090588*c_0101_3^13 - 37276952623/26175090588*c_0101_3^12 - 16165347565/8725030196*c_0101_3^11 - 4822534036733/26175090588*c_0101_3^10 + 1791107507029/8725030196*c_0101_3^9 - 2606543924014/6543772647*c_0101_3^8 - 962650462709/26175090588*c_0101_3^7 + 3380802995077/8725030196*c_0101_3^6 - 9869064307049/26175090588*c_0101_3^5 + 16233299459863/26175090588*c_0101_3^4 + 2786678768729/8725030196*c_0101_3^3 + 452977840347/8725030196*c_0101_3^2 + 1794790991053/8725030196*c_0101_3 + 449296784963/26175090588, c_0011_0 - 1, c_0011_1 - 238730078/6543772647*c_0101_3^13 + 116969347/6543772647*c_0101_3^12 - 46398273/2181257549*c_0101_3^11 - 4465993585/6543772647*c_0101_3^10 + 2655542061/2181257549*c_0101_3^9 - 15269868908/6543772647*c_0101_3^8 + 8551140089/6543772647*c_0101_3^7 + 1466288655/2181257549*c_0101_3^6 - 14240237800/6543772647*c_0101_3^5 + 20793841586/6543772647*c_0101_3^4 - 1044189623/2181257549*c_0101_3^3 - 496807315/2181257549*c_0101_3^2 + 857052474/2181257549*c_0101_3 + 3297456748/6543772647, c_0011_3 + 231618005/13087545294*c_0101_3^13 - 71504245/6543772647*c_0101_3^12 - 195633796/6543772647*c_0101_3^11 + 4180081199/13087545294*c_0101_3^10 - 4065391823/6543772647*c_0101_3^9 + 6110334973/13087545294*c_0101_3^8 - 159983318/6543772647*c_0101_3^7 - 10223807984/6543772647*c_0101_3^6 + 5090661705/4362515098*c_0101_3^5 - 5740453558/6543772647*c_0101_3^4 + 2048439665/6543772647*c_0101_3^3 + 19585413199/13087545294*c_0101_3^2 - 1585209673/6543772647*c_0101_3 + 216043147/2181257549, c_0101_0 - 481579582/6543772647*c_0101_3^13 + 119844398/2181257549*c_0101_3^12 - 141183358/6543772647*c_0101_3^11 - 3055315617/2181257549*c_0101_3^10 + 18292679446/6543772647*c_0101_3^9 - 10332612606/2181257549*c_0101_3^8 + 5627142158/2181257549*c_0101_3^7 + 17055037000/6543772647*c_0101_3^6 - 35854924336/6543772647*c_0101_3^5 + 47149239022/6543772647*c_0101_3^4 - 5683020037/6543772647*c_0101_3^3 - 4412109325/6543772647*c_0101_3^2 + 12134485457/6543772647*c_0101_3 - 1490850395/6543772647, c_0101_1 + 481579582/6543772647*c_0101_3^13 - 119844398/2181257549*c_0101_3^12 + 141183358/6543772647*c_0101_3^11 + 3055315617/2181257549*c_0101_3^10 - 18292679446/6543772647*c_0101_3^9 + 10332612606/2181257549*c_0101_3^8 - 5627142158/2181257549*c_0101_3^7 - 17055037000/6543772647*c_0101_3^6 + 35854924336/6543772647*c_0101_3^5 - 47149239022/6543772647*c_0101_3^4 + 5683020037/6543772647*c_0101_3^3 + 4412109325/6543772647*c_0101_3^2 - 5590712810/6543772647*c_0101_3 + 1490850395/6543772647, c_0101_3^14 + 19*c_0101_3^11 - 24*c_0101_3^10 + 41*c_0101_3^9 + 2*c_0101_3^8 - 48*c_0101_3^7 + 45*c_0101_3^6 - 62*c_0101_3^5 - 32*c_0101_3^4 + 11*c_0101_3^3 - 16*c_0101_3^2 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB