Magma V2.19-8 Tue Aug 20 2013 23:52:16 on localhost [Seed = 1275733860] Type ? for help. Type -D to quit. Loading file "L13n2121__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2121 geometric_solution 11.85727367 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 0 0 1 2 1302 2031 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 -1 -1 2 1 0 0 -1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.375619406657 0.736662623072 3 4 5 0 0132 0132 0132 0132 0 0 0 0 0 0 -1 1 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 -1 1 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 0.256463057718 0.825910782448 6 3 0 7 0132 3201 0132 0132 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 2 -2 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 0.256463057718 0.825910782448 1 8 2 9 0132 0132 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 -1 0 0 1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722925944344 1.437766867870 10 1 6 6 0132 0132 2031 3012 0 1 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 1 0 -1 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 0.543253272823 0.787780236805 8 7 7 1 3201 3012 0132 0132 0 0 0 1 0 -1 0 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 0 1 -1 0 1 0 0 0 0 0 1 12 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.312814334801 1.232526210501 2 11 4 4 0132 0132 1230 1302 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 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 0.543253272823 0.787780236805 5 9 2 5 1230 1023 0132 0132 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 -1 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 -12 -1 0 13 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.312814334801 1.232526210501 11 3 11 5 3012 0132 1023 2310 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 1 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428348962908 0.706219053697 7 10 3 10 1023 2310 0132 3012 0 0 1 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 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428348962908 0.706219053697 4 11 9 9 0132 3012 1230 3201 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 -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 0.692465273270 0.855473249019 10 6 8 8 1230 0132 1023 1230 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 -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 0.692465273270 0.855473249019 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_8'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : negation(d['c_0011_7']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : d['c_0101_1'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : negation(d['c_0101_6']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_0101_11'], 'c_1010_11' : d['c_0101_8'], 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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' : negation(d['1']), 's_2_7' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_1'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : negation(d['c_0101_8']), 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_0011_11'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_5']), 'c_1100_10' : negation(d['c_0011_7']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_7']), 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0101_11'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : negation(d['c_0101_1']), 'c_1100_8' : d['c_0011_5'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(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' : 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_7'], 'c_0011_8' : d['c_0011_1'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_11'], 'c_0110_11' : d['c_0011_1'], 'c_0110_10' : d['c_0101_10'], 'c_0110_0' : d['c_0101_2'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_5'], 'c_0101_4' : d['c_0101_10'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : negation(d['c_0011_5']), 'c_0110_1' : negation(d['c_0011_0']), 'c_1100_9' : d['c_0011_11'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_5'], 'c_0110_6' : d['c_0101_2']})} 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_1, c_0011_11, c_0011_5, c_0011_7, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_6, c_0101_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 22121091/4531971520*c_1100_0^5 - 28892957/9063943040*c_1100_0^4 + 998442389/9063943040*c_1100_0^3 + 9330691/4531971520*c_1100_0^2 + 210377739/312549760*c_1100_0 + 30494469/2265985760, c_0011_0 - 1, c_0011_1 - 2581/424660*c_1100_0^5 + 8231/424660*c_1100_0^4 - 16163/106165*c_1100_0^3 + 158889/424660*c_1100_0^2 - 130927/106165*c_1100_0 + 309573/106165, c_0011_11 - 2581/424660*c_1100_0^5 + 8231/424660*c_1100_0^4 - 16163/106165*c_1100_0^3 + 158889/424660*c_1100_0^2 - 130927/106165*c_1100_0 + 309573/106165, c_0011_5 + 1543/424660*c_1100_0^5 - 11173/424660*c_1100_0^4 + 7894/106165*c_1100_0^3 - 141387/424660*c_1100_0^2 + 20521/106165*c_1100_0 - 120534/106165, c_0011_7 + 1543/424660*c_1100_0^5 - 11173/424660*c_1100_0^4 + 7894/106165*c_1100_0^3 - 141387/424660*c_1100_0^2 + 20521/106165*c_1100_0 - 120534/106165, c_0101_1 + 2581/212330*c_1100_0^5 - 8231/212330*c_1100_0^4 + 32326/106165*c_1100_0^3 - 158889/212330*c_1100_0^2 + 155689/106165*c_1100_0 - 406816/106165, c_0101_10 - 1, c_0101_11 - 2093/106165*c_1100_0^5 + 5523/106165*c_1100_0^4 - 42556/106165*c_1100_0^3 + 92362/106165*c_1100_0^2 - 238149/106165*c_1100_0 + 666171/106165, c_0101_2 - 2581/424660*c_1100_0^5 + 8231/424660*c_1100_0^4 - 16163/106165*c_1100_0^3 + 158889/424660*c_1100_0^2 - 130927/106165*c_1100_0 + 97243/106165, c_0101_6 + 2581/212330*c_1100_0^5 - 8231/212330*c_1100_0^4 + 32326/106165*c_1100_0^3 - 158889/212330*c_1100_0^2 + 261854/106165*c_1100_0 - 406816/106165, c_0101_8 + 1, c_1100_0^6 - 3*c_1100_0^5 + 24*c_1100_0^4 - 53*c_1100_0^3 + 136*c_1100_0^2 - 328*c_1100_0 - 16 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_11, c_0011_5, c_0011_7, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_6, c_0101_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 52289639283/3999311872*c_1100_0^7 - 257681976893/1999655936*c_1100_0^6 + 598000596707/3999311872*c_1100_0^5 + 2834598128033/3999311872*c_1100_0^4 + 6672396453789/3999311872*c_1100_0^3 + 508313746765/499913984*c_1100_0^2 + 244791695511/499913984*c_1100_0 - 182942592069/249956992, c_0011_0 - 1, c_0011_1 - 304361/73158144*c_1100_0^7 + 448873/12193024*c_1100_0^6 - 126963/24386048*c_1100_0^5 - 20339147/73158144*c_1100_0^4 - 19709717/24386048*c_1100_0^3 - 3310439/4572384*c_1100_0^2 + 3450961/9144768*c_1100_0 + 863165/1524128, c_0011_11 - 304361/73158144*c_1100_0^7 + 448873/12193024*c_1100_0^6 - 126963/24386048*c_1100_0^5 - 20339147/73158144*c_1100_0^4 - 19709717/24386048*c_1100_0^3 - 3310439/4572384*c_1100_0^2 + 3450961/9144768*c_1100_0 + 863165/1524128, c_0011_5 - 104567/3048256*c_1100_0^7 + 539133/1524128*c_1100_0^6 - 1620775/3048256*c_1100_0^5 - 5650661/3048256*c_1100_0^4 - 9230097/3048256*c_1100_0^3 - 29725/47629*c_1100_0^2 + 156527/381032*c_1100_0 + 387961/190516, c_0011_7 + 104567/3048256*c_1100_0^7 - 539133/1524128*c_1100_0^6 + 1620775/3048256*c_1100_0^5 + 5650661/3048256*c_1100_0^4 + 9230097/3048256*c_1100_0^3 + 29725/47629*c_1100_0^2 - 156527/381032*c_1100_0 - 387961/190516, c_0101_1 - 147703/73158144*c_1100_0^7 + 160055/12193024*c_1100_0^6 + 972883/24386048*c_1100_0^5 - 11413333/73158144*c_1100_0^4 - 14208203/24386048*c_1100_0^3 - 6946945/4572384*c_1100_0^2 - 6938545/9144768*c_1100_0 - 565501/1524128, c_0101_10 - 1, c_0101_11 + 239725/36579072*c_1100_0^7 - 337453/6096512*c_1100_0^6 - 399521/12193024*c_1100_0^5 + 23754007/36579072*c_1100_0^4 + 11575881/12193024*c_1100_0^3 + 1825483/2286192*c_1100_0^2 + 2979115/4572384*c_1100_0 + 412159/762064, c_0101_2 - 4709/762064*c_1100_0^7 + 19029/381032*c_1100_0^6 + 26435/762064*c_1100_0^5 - 330755/762064*c_1100_0^4 - 1059935/762064*c_1100_0^3 - 427391/190516*c_1100_0^2 - 131587/95258*c_1100_0 + 9302/47629, c_0101_6 + 147703/73158144*c_1100_0^7 - 160055/12193024*c_1100_0^6 - 972883/24386048*c_1100_0^5 + 11413333/73158144*c_1100_0^4 + 14208203/24386048*c_1100_0^3 + 6946945/4572384*c_1100_0^2 + 16083313/9144768*c_1100_0 + 565501/1524128, c_0101_8 - 1, c_1100_0^8 - 9*c_1100_0^7 + 3*c_1100_0^6 + 64*c_1100_0^5 + 174*c_1100_0^4 + 187*c_1100_0^3 + 104*c_1100_0^2 - 24*c_1100_0 - 48 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.320 seconds, Total memory usage: 32.09MB