Magma V2.19-8 Tue Aug 20 2013 23:38:23 on localhost [Seed = 1882592341] Type ? for help. Type -D to quit. Loading file "K14n13645__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n13645 geometric_solution 9.34211642 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.072022081116 0.782460087759 0 5 7 6 0132 0132 0132 0132 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 3 -3 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.835847698479 0.694774760885 6 0 6 7 0132 0132 2310 1302 0 0 0 0 0 0 0 0 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 1 -1 0 3 0 -3 0 3 0 0 -3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.502888388193 0.663332371408 7 8 9 0 1302 0132 0132 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 1 0 -1 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.027179333700 0.914072982519 8 5 0 9 3201 1230 0132 2310 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 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.861029404662 0.889143162245 7 1 4 8 0213 0132 3012 3120 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 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.318850868962 0.692019804480 2 2 1 8 0132 3201 0132 3012 0 0 0 0 0 0 1 -1 -1 0 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 1 3 -4 -3 0 0 3 -1 1 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723461010374 0.965366924117 5 3 2 1 0213 2031 2031 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 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.302709700313 0.802707653522 5 3 6 4 3120 0132 1230 2310 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 -1 -3 4 0 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.018264604687 0.884524690684 4 9 9 3 3201 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.383147262541 0.988722926788 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_0101_8'], 'c_1001_7' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_9'], 'c_1001_2' : d['c_0101_8'], 'c_1001_9' : negation(d['c_0101_9']), 'c_1001_8' : d['c_1001_0'], 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_9'], 'c_1100_8' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : d['c_0011_9'], 'c_1100_7' : negation(d['c_1001_0']), 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0011_9'], 'c_1100_3' : d['c_0011_9'], 'c_1100_2' : d['c_0011_0'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0101_8']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_0101_8'], 'c_1010_9' : d['c_0101_9'], 'c_1010_8' : d['c_0101_9'], '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' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_7']), 'c_0101_2' : d['c_0011_4'], '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_8'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : negation(d['c_0101_9']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_4']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_8, c_0101_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 3074981333/414152760*c_1001_0^3 - 5141291933/1360787640*c_1001_0^2 + 16105923679/4762756740*c_1001_0 - 44352356/79379279, c_0011_0 - 1, c_0011_3 - 23/4*c_1001_0^3 + 8*c_1001_0^2 - 7*c_1001_0 + 2, c_0011_4 - c_1001_0 + 1, c_0011_7 + 23/12*c_1001_0^2 - 7/3*c_1001_0 + 4/3, c_0011_9 + 23/6*c_1001_0^3 - 16/3*c_1001_0^2 + 5*c_1001_0 - 7/3, c_0101_0 - 23/12*c_1001_0^3 + 8/3*c_1001_0^2 - 3*c_1001_0 + 2/3, c_0101_1 - 23/6*c_1001_0^3 + 3/2*c_1001_0^2 - 7/3*c_1001_0 - 4/3, c_0101_8 + 23/12*c_1001_0^3 - 8/3*c_1001_0^2 + 5/2*c_1001_0 - 2/3, c_0101_9 + 23/6*c_1001_0^2 - 14/3*c_1001_0 + 8/3, c_1001_0^4 - 32/23*c_1001_0^3 + 40/23*c_1001_0^2 - 16/23*c_1001_0 + 8/23 ], Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_8, c_0101_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 630942296261923/117704749368492*c_1001_0^10 - 2450749568110/1548746702217*c_1001_0^9 - 11083422201604/251505874719*c_1001_0^8 - 564743762753491/2179717580898*c_1001_0^7 + 164180026574599/29426187342123*c_1001_0^6 - 496883785536221/2064995602956*c_1001_0^5 - 65910534030439931/58852374684246*c_1001_0^4 - 56518389888791651/39234916456164*c_1001_0^3 - 180932655158712251/117704749368492*c_1001_0^2 - 72400308694149845/117704749368492*c_1001_0 + 2348650884709303/29426187342123, c_0011_0 - 1, c_0011_3 + 194667970/7680816187*c_1001_0^10 + 67641467/7680816187*c_1001_0^9 + 1787802431/7680816187*c_1001_0^8 + 9281778598/7680816187*c_1001_0^7 + 1980726177/7680816187*c_1001_0^6 + 15227785479/7680816187*c_1001_0^5 + 30428342225/7680816187*c_1001_0^4 + 72742338821/7680816187*c_1001_0^3 + 73974699518/7680816187*c_1001_0^2 + 48338423821/7680816187*c_1001_0 + 9925360437/7680816187, c_0011_4 - 1, c_0011_7 + 16908309877/898655493879*c_1001_0^10 - 10030548686/898655493879*c_1001_0^9 + 1219591434/7680816187*c_1001_0^8 + 75414915938/99850610431*c_1001_0^7 - 652614827725/898655493879*c_1001_0^6 + 330434167553/299551831293*c_1001_0^5 + 2276925145090/898655493879*c_1001_0^4 + 86728210492/27231984663*c_1001_0^3 + 95602620956/898655493879*c_1001_0^2 - 1009130075713/898655493879*c_1001_0 - 1413160040506/898655493879, c_0011_9 + 1138033305/99850610431*c_1001_0^10 + 27036760/99850610431*c_1001_0^9 + 746980667/7680816187*c_1001_0^8 + 50757854250/99850610431*c_1001_0^7 - 10739459664/99850610431*c_1001_0^6 + 56236542851/99850610431*c_1001_0^5 + 154517308644/99850610431*c_1001_0^4 + 344180784627/99850610431*c_1001_0^3 + 190557496035/99850610431*c_1001_0^2 - 31771155828/99850610431*c_1001_0 - 101034441010/99850610431, c_0101_0 + 1728647484/99850610431*c_1001_0^10 + 2845557056/99850610431*c_1001_0^9 + 1142494531/7680816187*c_1001_0^8 + 102348414152/99850610431*c_1001_0^7 + 110844014261/99850610431*c_1001_0^6 + 69369656614/99850610431*c_1001_0^5 + 451306329543/99850610431*c_1001_0^4 + 962969064576/99850610431*c_1001_0^3 + 1094779105619/99850610431*c_1001_0^2 + 821820481312/99850610431*c_1001_0 + 267763512171/99850610431, c_0101_1 - 43845577/99850610431*c_1001_0^10 - 1181878882/99850610431*c_1001_0^9 - 32434381/7680816187*c_1001_0^8 - 12078409829/99850610431*c_1001_0^7 - 52423986176/99850610431*c_1001_0^6 + 7714114851/99850610431*c_1001_0^5 - 66277179984/99850610431*c_1001_0^4 - 174510891756/99850610431*c_1001_0^3 - 368997381209/99850610431*c_1001_0^2 - 209981086646/99850610431*c_1001_0 - 76322423079/99850610431, c_0101_8 + 21215438864/299551831293*c_1001_0^10 + 4234352852/299551831293*c_1001_0^9 + 4803416594/7680816187*c_1001_0^8 + 332559116870/99850610431*c_1001_0^7 + 4067003242/299551831293*c_1001_0^6 + 488686986805/99850610431*c_1001_0^5 + 3764029063121/299551831293*c_1001_0^4 + 2182092301833/99850610431*c_1001_0^3 + 6835900205032/299551831293*c_1001_0^2 + 4351558381189/299551831293*c_1001_0 + 961931964220/299551831293, c_0101_9 - 676716017/99850610431*c_1001_0^10 - 244395156/99850610431*c_1001_0^9 - 464104959/7680816187*c_1001_0^8 - 31823611371/99850610431*c_1001_0^7 - 5652844627/99850610431*c_1001_0^6 - 41260996963/99850610431*c_1001_0^5 - 84223016155/99850610431*c_1001_0^4 - 23810985964/9077328221*c_1001_0^3 - 225658431562/99850610431*c_1001_0^2 - 28212947206/99850610431*c_1001_0 + 45562972401/99850610431, c_1001_0^11 + c_1001_0^10 + 9*c_1001_0^9 + 54*c_1001_0^8 + 38*c_1001_0^7 + 69*c_1001_0^6 + 229*c_1001_0^5 + 456*c_1001_0^4 + 566*c_1001_0^3 + 443*c_1001_0^2 + 188*c_1001_0 + 27 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.330 seconds, Total memory usage: 32.09MB