Magma V2.19-8 Tue Aug 20 2013 16:16:50 on localhost [Seed = 4004475448] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1099 geometric_solution 4.96582736 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.413114071229 0.133493812176 0 2 2 0 3201 0132 1023 0132 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 -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 1.160742547652 0.151123823750 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 1 0 -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 1 0 -1 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 1.097053865778 0.419452873152 2 5 6 4 0132 0132 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508597252948 0.882527443295 6 3 2 5 2310 1302 0132 0132 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 0 1 -1 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 0.508597252948 0.882527443295 5 3 4 5 3201 0132 0132 2310 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 1 -1 1 0 -1 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 0.011356572909 0.599277013716 6 6 4 3 1302 2031 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.268180298928 0.433638082537 ==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_2_6' : 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_0_6' : 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_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_2'], '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0011_6, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 12812974539/908655568*c_0101_3^10 + 3909683915/227163892*c_0101_3^9 - 141134770177/908655568*c_0101_3^8 + 21233397785/56790973*c_0101_3^7 - 76832533877/908655568*c_0101_3^6 - 61228010117/227163892*c_0101_3^5 + 2202103109737/908655568*c_0101_3^4 + 307448313007/113581946*c_0101_3^3 - 121550439111/908655568*c_0101_3^2 - 353947378907/227163892*c_0101_3 - 657729359667/908655568, c_0011_0 - 1, c_0011_1 + 100585671/227163892*c_0101_3^10 + 7939577/113581946*c_0101_3^9 - 1125054535/227163892*c_0101_3^8 + 965666926/56790973*c_0101_3^7 - 4705518697/227163892*c_0101_3^6 + 1532264119/113581946*c_0101_3^5 + 14045465399/227163892*c_0101_3^4 + 1095059970/56790973*c_0101_3^3 - 5726893835/227163892*c_0101_3^2 - 2408101909/113581946*c_0101_3 + 2647299/227163892, c_0011_4 - 36595547/113581946*c_0011_6*c_0101_3^10 - 6726239/113581946*c_0011_6*c_0101_3^9 + 409817609/113581946*c_0011_6*c_0101_3^8 - 1395055761/113581946*c_0011_6*c_0101_3^7 + 3333021573/227163892*c_0011_6*c_0101_3^6 - 1040414799/113581946*c_0011_6*c_0101_3^5 - 5167043921/113581946*c_0011_6*c_0101_3^4 - 881561842/56790973*c_0011_6*c_0101_3^3 + 2243547607/113581946*c_0011_6*c_0101_3^2 + 1688999895/113581946*c_0011_6*c_0101_3 - 141694805/227163892*c_0011_6, c_0011_6^2 - 31802676/56790973*c_0101_3^10 - 13553637/113581946*c_0101_3^9 + 354996186/56790973*c_0101_3^8 - 1201673251/56790973*c_0101_3^7 + 2848978957/113581946*c_0101_3^6 - 1808165513/113581946*c_0101_3^5 - 8927438581/113581946*c_0101_3^4 - 1675502719/56790973*c_0101_3^3 + 3364876095/113581946*c_0101_3^2 + 3186406887/113581946*c_0101_3 + 31704397/56790973, c_0101_0 - 55576797/227163892*c_0101_3^10 - 19184329/227163892*c_0101_3^9 + 621261237/227163892*c_0101_3^8 - 505019698/56790973*c_0101_3^7 + 1092894225/113581946*c_0101_3^6 - 567041449/113581946*c_0101_3^5 - 8243652655/227163892*c_0101_3^4 - 3670880533/227163892*c_0101_3^3 + 2730452433/227163892*c_0101_3^2 + 773594199/56790973*c_0101_3 + 90126330/56790973, c_0101_2 + 140186701/227163892*c_0101_3^10 + 25665905/227163892*c_0101_3^9 - 781953765/113581946*c_0101_3^8 + 5341262841/227163892*c_0101_3^7 - 6456042269/227163892*c_0101_3^6 + 2140158291/113581946*c_0101_3^5 + 19334131365/227163892*c_0101_3^4 + 7090334899/227163892*c_0101_3^3 - 1927973710/56790973*c_0101_3^2 - 7039688459/227163892*c_0101_3 - 48277139/227163892, c_0101_3^11 + c_0101_3^10 - 11*c_0101_3^9 + 29*c_0101_3^8 - 15*c_0101_3^7 - 7*c_0101_3^6 + 163*c_0101_3^5 + 163*c_0101_3^4 - 13*c_0101_3^3 - 93*c_0101_3^2 - 41*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB