Magma V2.19-8 Tue Aug 20 2013 23:41:00 on localhost [Seed = 2227363940] Type ? for help. Type -D to quit. Loading file "L12n877__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n877 geometric_solution 9.28785235 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 3 2 0132 0132 0132 1023 1 1 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 1 -12 11 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 0.418402111721 1.433722109000 0 4 6 5 0132 0132 0132 0132 1 1 0 0 0 0 -1 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 12 -11 -1 0 0 1 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.082325389699 0.974796546463 7 0 7 0 0132 0132 1023 1023 1 1 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 -1 0 1 0 0 11 -11 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.347069142485 0.314618972762 6 8 8 0 0132 0132 1023 0132 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 0 0 0 0 0 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.082325389699 0.974796546463 7 1 9 5 1023 0132 0132 1023 1 1 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 1 0 -1 -11 0 0 11 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.082325389699 0.974796546463 9 6 1 4 1023 0132 0132 1023 1 1 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 11 -11 0 0 -1 1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.690256074304 1.482185212179 3 5 9 1 0132 0132 1023 0132 1 1 0 0 0 0 -1 1 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 12 -12 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 0.371445797558 0.707894218133 2 4 2 8 0132 1023 1023 1023 1 1 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 11 -11 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 0.418402111721 1.433722109000 9 3 3 7 0132 0132 1023 1023 1 1 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 0 0 0 -12 0 12 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 0.082325389699 0.974796546463 8 5 6 4 0132 1023 1023 0132 1 1 0 0 0 0 0 0 -1 0 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 12 0 -12 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.371445797558 0.707894218133 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0101_2'], 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : d['c_0110_5'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : d['c_0101_0'], 'c_1001_8' : d['c_0101_1'], 's_2_8' : d['1'], 's_2_9' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(d['c_1100_1']), 'c_1100_8' : negation(d['c_1100_0']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_1100_1']), 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : d['c_0110_5'], 'c_1010_5' : d['c_0101_9'], 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0110_5'], 'c_1010_0' : d['c_0101_7'], 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : d['c_0101_2'], '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' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : negation(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' : 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_3'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), '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_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_2'], '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_9'], 'c_0101_8' : d['c_0101_2'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_9'], '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_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} 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_0101_0, c_0101_1, c_0101_2, c_0101_7, c_0101_9, c_0110_5, c_1100_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 47473/202332*c_1100_1^5 + 65983/16861*c_1100_1^4 - 957963/67444*c_1100_1^3 + 1835833/67444*c_1100_1^2 - 6625291/202332*c_1100_1 - 222743/16861, c_0011_0 - 1, c_0011_3 - 24032/50583*c_1100_1^5 + 312901/50583*c_1100_1^4 - 245548/50583*c_1100_1^3 + 341348/16861*c_1100_1^2 + 461467/16861*c_1100_1 + 833930/50583, c_0101_0 - 1, c_0101_1 - 1754/50583*c_1100_1^5 + 7438/16861*c_1100_1^4 - 10159/50583*c_1100_1^3 + 56965/50583*c_1100_1^2 + 117677/50583*c_1100_1 + 22701/16861, c_0101_2 - 1754/50583*c_1100_1^5 + 7438/16861*c_1100_1^4 - 10159/50583*c_1100_1^3 + 56965/50583*c_1100_1^2 + 117677/50583*c_1100_1 + 22701/16861, c_0101_7 + 1101/16861*c_1100_1^5 - 14545/16861*c_1100_1^4 + 14519/16861*c_1100_1^3 - 55012/16861*c_1100_1^2 - 56554/16861*c_1100_1 - 24840/16861, c_0101_9 - 1, c_0110_5 - 423/16861*c_1100_1^5 + 17086/50583*c_1100_1^4 - 6497/16861*c_1100_1^3 + 47510/50583*c_1100_1^2 + 86455/50583*c_1100_1 + 20039/50583, c_1100_0 + 128/16861*c_1100_1^5 - 1936/16861*c_1100_1^4 + 5394/16861*c_1100_1^3 - 12751/16861*c_1100_1^2 - 3512/16861*c_1100_1 + 2855/16861, c_1100_1^6 - 13*c_1100_1^5 + 10*c_1100_1^4 - 43*c_1100_1^3 - 58*c_1100_1^2 - 36*c_1100_1 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB