Magma V2.19-8 Tue Aug 20 2013 17:55:43 on localhost [Seed = 2530681154] Type ? for help. Type -D to quit. Loading file "10^2_169__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_169 geometric_solution 8.97105967 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 1 2 3 0132 1302 0132 0132 0 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 -1 0 1 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 0.612695558655 0.378981518737 0 4 5 0 0132 0132 0132 2031 0 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 0 0 0 0 0 -1 1 0 0 0 -1 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 1.319014304488 1.290669537936 4 4 6 0 0132 1230 0132 0132 0 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 0 0 0 0 0 0 0 0 0 0 0 0 2 -1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.819521006686 0.730182739867 5 7 0 6 0132 0132 0132 0321 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 -1 1 1 0 0 -1 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.054097151356 0.466732330011 2 1 2 7 0132 0132 3012 3012 0 0 0 1 0 -1 0 1 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 -2 0 0 0 0 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319776243939 0.606070670393 3 7 8 1 0132 2031 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 1 -1 -1 0 0 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.706318745833 0.911688019199 9 3 8 2 0132 0321 0213 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 -1 1 0 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.139807725130 1.088029271313 5 3 4 8 1302 0132 1230 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 0 2 0 -2 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319014304488 1.290669537936 9 6 7 5 2103 0213 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 -1 2 -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 -0.116181719844 0.904163999981 6 9 8 9 0132 2310 2103 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.324650329436 0.917096343008 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0110_7']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_1001_2'], 'c_1001_6' : negation(d['c_0110_7']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_8'], 'c_1001_8' : negation(d['c_0110_7']), 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : negation(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_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' : 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_9' : d['c_0011_6'], 'c_1100_8' : negation(d['c_1001_3']), 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_1001_2']), 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : negation(d['c_0110_7']), 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : negation(d['c_0110_7']), 'c_1100_3' : negation(d['c_0110_7']), 'c_1100_2' : negation(d['c_0110_7']), 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_1001_2'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_3'], 'c_1010_9' : negation(d['c_0011_8']), 'c_1010_8' : negation(d['c_0110_7']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_6']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_6'], '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_3'], 'c_0101_6' : d['c_0011_8'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], '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_2'], 'c_0101_8' : d['c_0101_2'], 'c_0110_9' : d['c_0011_8'], 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0101_2']})} 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_6, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0110_7, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 12628627006/11*c_1001_3^9 + 79786866693/11*c_1001_3^8 + 223848945709/11*c_1001_3^7 + 364120469410/11*c_1001_3^6 + 375163691021/11*c_1001_3^5 + 250952200934/11*c_1001_3^4 + 107354826944/11*c_1001_3^3 + 28110234457/11*c_1001_3^2 + 4089786424/11*c_1001_3 + 253138823/11, c_0011_0 - 1, c_0011_3 - 27974*c_1001_3^9 - 160573*c_1001_3^8 - 398945*c_1001_3^7 - 551383*c_1001_3^6 - 447621*c_1001_3^5 - 200121*c_1001_3^4 - 32337*c_1001_3^3 + 8080*c_1001_3^2 + 3856*c_1001_3 + 415, c_0011_6 + 142*c_1001_3^9 + 947*c_1001_3^8 + 2832*c_1001_3^7 + 4978*c_1001_3^6 + 5656*c_1001_3^5 + 4303*c_1001_3^4 + 2198*c_1001_3^3 + 740*c_1001_3^2 + 156*c_1001_3 + 16, c_0011_8 - 103518*c_1001_3^9 - 664235*c_1001_3^8 - 1896244*c_1001_3^7 - 3146512*c_1001_3^6 - 3318782*c_1001_3^5 - 2283550*c_1001_3^4 - 1011150*c_1001_3^3 - 275484*c_1001_3^2 - 41828*c_1001_3 - 2704, c_0101_0 - 218254*c_1001_3^9 - 1380137*c_1001_3^8 - 3875345*c_1001_3^7 - 6308529*c_1001_3^6 - 6503707*c_1001_3^5 - 4351490*c_1001_3^4 - 1860565*c_1001_3^3 - 486117*c_1001_3^2 - 70389*c_1001_3 - 4321, c_0101_1 - 1, c_0101_2 - 2*c_1001_3 - 1, c_0110_7 + 142852*c_1001_3^9 + 902698*c_1001_3^8 + 2532688*c_1001_3^7 + 4118964*c_1001_3^6 + 4241486*c_1001_3^5 + 2833729*c_1001_3^4 + 1209302*c_1001_3^3 + 315197*c_1001_3^2 + 45507*c_1001_3 + 2784, c_1001_2 + c_1001_3, c_1001_3^10 + 947/142*c_1001_3^9 + 1416/71*c_1001_3^8 + 2489/71*c_1001_3^7 + 2828/71*c_1001_3^6 + 4303/142*c_1001_3^5 + 1099/71*c_1001_3^4 + 370/71*c_1001_3^3 + 157/142*c_1001_3^2 + 19/142*c_1001_3 + 1/142 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB