Magma V2.19-8 Tue Aug 20 2013 23:49:43 on localhost [Seed = 324368871] Type ? for help. Type -D to quit. Loading file "L12n1963__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1963 geometric_solution 11.13390472 oriented_manifold CS_known -0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 0 0 1 2 1230 3012 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 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 0.861426241349 2.111162852299 3 4 5 0 0132 0132 0132 0132 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 0 1 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 0.140692977769 0.738165636700 6 3 0 7 0132 3201 0132 0132 0 0 1 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 0.140692977769 0.738165636700 1 6 2 4 0132 0132 2310 2310 1 0 1 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 -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 0.803709961635 0.468225508791 3 1 8 7 3201 0132 0132 1230 0 1 1 0 0 -1 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 0 0 0 0 1 -1 0 0 0 0 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.475998701765 1.349176385831 9 6 7 1 0132 1230 0132 0132 0 0 1 1 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 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 0.345907873233 0.810562083435 2 3 5 10 0132 0132 3012 0132 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 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 0.475998701765 1.349176385831 4 11 2 5 3012 0132 0132 0132 0 0 1 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.345907873233 0.810562083435 9 10 9 4 2310 3012 1230 0132 0 1 0 2 0 0 1 -1 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 0 -1 1 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 0.025181243642 0.784445789077 5 11 8 8 0132 1023 3201 3012 2 0 1 1 0 0 -1 1 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 -1 0 1 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 0.622638009278 0.501042641324 8 11 6 11 1230 2310 0132 3012 1 0 2 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 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 0.025181243642 0.784445789077 9 7 10 10 1023 0132 1230 3201 0 2 1 1 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 0 0 0 1 0 0 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.622638009278 0.501042641324 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_11'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : negation(d['c_1001_10']), 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : d['c_0101_6'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : negation(d['c_0101_0']), 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_1001_10']), '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' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_0'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(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_10'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_1001_11']), 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_10'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_1001_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0011_11'], 'c_1010_2' : negation(d['c_1001_10']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : negation(d['c_0011_0']), 'c_1100_8' : d['c_0101_5'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(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_11'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_1'], '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' : negation(d['c_0011_1']), 'c_0110_11' : d['c_0101_11'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : negation(d['c_0101_11']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : negation(d['c_0101_1']), '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_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_11']), 'c_0110_7' : d['c_0101_5'], 'c_0110_6' : d['c_0011_0']})} 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_10, c_0011_11, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0101_6, c_1001_10, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 80427680876/43904265446475*c_1100_0^6 + 73565364758/8780853089295*c_1100_0^5 + 227620477978/8780853089295*c_1100_0^4 - 2096628672668/8780853089295*c_1100_0^3 - 11463015097691/12544075841850*c_1100_0^2 + 4100031792233/87808530892950*c_1100_0 + 77248125912389/9756503432550, c_0011_0 - 1, c_0011_1 - 1, c_0011_10 + 1, c_0011_11 - 107517/140022725*c_1100_0^6 + 14239/112018180*c_1100_0^5 - 41985/5600909*c_1100_0^4 + 6569013/56009090*c_1100_0^3 - 74872237/560090900*c_1100_0^2 - 64095161/280045450*c_1100_0 - 134102899/560090900, c_0101_0 - 14113/5600909*c_1100_0^6 + 21155/5600909*c_1100_0^5 - 164657/5600909*c_1100_0^4 + 2300776/5600909*c_1100_0^3 - 6230453/5600909*c_1100_0^2 + 3647672/5600909*c_1100_0 - 6271211/5600909, c_0101_1 + 106379/840136350*c_1100_0^6 + 1854217/840136350*c_1100_0^5 + 2568163/420068175*c_1100_0^4 + 5118713/840136350*c_1100_0^3 - 7421821/33605454*c_1100_0^2 + 84177601/840136350*c_1100_0 + 21966669/56009090, c_0101_11 + 600974/420068175*c_1100_0^6 - 1718743/840136350*c_1100_0^5 + 6898088/420068175*c_1100_0^4 - 102278326/420068175*c_1100_0^3 + 540100321/840136350*c_1100_0^2 - 233649899/420068175*c_1100_0 + 229292259/280045450, c_0101_5 + 436109/280045450*c_1100_0^6 + 22579/140022725*c_1100_0^5 + 3155417/140022725*c_1100_0^4 - 66479313/280045450*c_1100_0^3 + 59092466/140022725*c_1100_0^2 - 127707399/280045450*c_1100_0 + 169562802/140022725, c_0101_6 - 14233/168027270*c_1100_0^6 - 1560104/420068175*c_1100_0^5 - 461377/420068175*c_1100_0^4 - 23865437/840136350*c_1100_0^3 + 213249467/420068175*c_1100_0^2 - 22104367/33605454*c_1100_0 + 142886688/140022725, c_1001_10 + 106379/840136350*c_1100_0^6 + 1854217/840136350*c_1100_0^5 + 2568163/420068175*c_1100_0^4 + 5118713/840136350*c_1100_0^3 - 7421821/33605454*c_1100_0^2 + 84177601/840136350*c_1100_0 + 21966669/56009090, c_1001_11 - 436109/280045450*c_1100_0^6 - 22579/140022725*c_1100_0^5 - 3155417/140022725*c_1100_0^4 + 66479313/280045450*c_1100_0^3 - 59092466/140022725*c_1100_0^2 + 127707399/280045450*c_1100_0 - 169562802/140022725, c_1100_0^7 - c_1100_0^6 + 13*c_1100_0^5 - 161*c_1100_0^4 + 391*c_1100_0^3 - 484*c_1100_0^2 + 639*c_1100_0 - 711 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB