Magma V2.19-8 Tue Aug 20 2013 23:56:33 on localhost [Seed = 913333820] Type ? for help. Type -D to quit. Loading file "L14n23888__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n23888 geometric_solution 10.47964792 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 1 1 0 0 1 0 -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 -1 -1 2 0 0 1 -1 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.956961767029 0.993052415548 0 2 6 5 0132 0213 0132 0132 0 1 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 0 0 0 0 0 1 0 -1 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546714002087 0.482979209420 7 0 1 7 0132 0132 0213 3012 0 0 0 1 0 -1 1 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 1 -1 0 1 0 -1 0 0 0 0 0 1 -9 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496846724836 0.522129088651 5 7 8 0 0132 1302 0132 0132 0 1 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 0 0 0 0 0 0 0 0 -1 0 1 9 0 -8 -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 0.043560726922 1.005108298071 5 6 0 9 3201 0132 0132 0132 0 1 0 1 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 -2 1 -1 0 1 0 0 0 0 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.088612152954 1.001285533472 3 10 1 4 0132 0132 0132 2310 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 -9 0 0 9 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.886061996608 0.895518090600 11 4 11 1 0132 0132 2310 0132 0 1 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 1 0 0 0 0 0 8 0 0 -8 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.138111213401 0.888511689056 2 8 2 3 0132 3120 1230 2031 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 0 0 0 0 -1 0 0 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.956961767029 0.993052415548 11 7 9 3 2310 3120 0132 0132 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 0 0 0 0 0 0 0 -8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.027339043499 0.907573973123 10 10 4 8 2310 1302 0132 0132 0 1 0 0 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 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 0.510196899218 0.602739359093 11 5 9 9 3201 0132 3201 2031 0 0 0 1 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 1 0 -1 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 0.598294842748 0.241334133552 6 6 8 10 0132 3201 3201 2310 0 1 0 1 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 0 1 0 0 0 0 1 -1 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562478499189 0.579852910425 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_5' : d['c_0011_9'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_9']), 'c_1001_6' : d['c_0110_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_7']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0110_10'], 'c_1001_8' : d['c_0011_9'], 'c_1010_11' : negation(d['c_0110_10']), 'c_1010_10' : d['c_0011_9'], 's_0_10' : d['1'], 's_0_11' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : negation(d['1']), 's_0_9' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1100_0'], 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_7'], 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_0011_11'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_9'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0011_9']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0101_9']), 'c_1010_4' : d['c_0110_10'], 'c_1010_3' : negation(d['c_0101_7']), 'c_1010_2' : negation(d['c_0101_7']), 'c_1010_1' : d['c_0011_9'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_0011_9'], 'c_1010_8' : negation(d['c_0011_0']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : 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_10']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_10']), 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), '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_7'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_1']})} 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_10, c_0011_11, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_7, c_0101_9, c_0110_10, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 3819423139/15484024*c_1100_0^11 - 20436846605/30968048*c_1100_0^10 + 33067250515/15484024*c_1100_0^9 - 58842715303/15484024*c_1100_0^8 + 114541498707/15484024*c_1100_0^7 - 355673239077/30968048*c_1100_0^6 + 605134074977/30968048*c_1100_0^5 - 275393598755/15484024*c_1100_0^4 + 32020125837/3871006*c_1100_0^3 + 84394195289/30968048*c_1100_0^2 + 11216045161/30968048*c_1100_0 + 6347529635/30968048, c_0011_0 - 1, c_0011_10 - 644747/7742012*c_1100_0^11 + 1984119/7742012*c_1100_0^10 - 1526753/1935503*c_1100_0^9 + 5653089/3871006*c_1100_0^8 - 21241477/7742012*c_1100_0^7 + 16463983/3871006*c_1100_0^6 - 55551679/7742012*c_1100_0^5 + 13484846/1935503*c_1100_0^4 - 19018277/7742012*c_1100_0^3 - 11921753/3871006*c_1100_0^2 + 3462169/3871006*c_1100_0 + 9794481/7742012, c_0011_11 + 1749589/7742012*c_1100_0^11 - 3624657/7742012*c_1100_0^10 + 2992247/1935503*c_1100_0^9 - 9005613/3871006*c_1100_0^8 + 35185411/7742012*c_1100_0^7 - 25993959/3871006*c_1100_0^6 + 89440797/7742012*c_1100_0^5 - 12185336/1935503*c_1100_0^4 - 11999569/7742012*c_1100_0^3 + 13229925/3871006*c_1100_0^2 + 17011637/3871006*c_1100_0 - 54251/7742012, c_0011_9 + 1222107/3871006*c_1100_0^11 - 1304610/1935503*c_1100_0^10 + 4206924/1935503*c_1100_0^9 - 6428254/1935503*c_1100_0^8 + 24707857/3871006*c_1100_0^7 - 36684003/3871006*c_1100_0^6 + 31493003/1935503*c_1100_0^5 - 17101092/1935503*c_1100_0^4 - 11796441/3871006*c_1100_0^3 + 22494817/3871006*c_1100_0^2 + 22231251/3871006*c_1100_0 + 147624/1935503, c_0101_0 + c_1100_0, c_0101_1 - 1, c_0101_10 + 1749589/7742012*c_1100_0^11 - 3624657/7742012*c_1100_0^10 + 2992247/1935503*c_1100_0^9 - 9005613/3871006*c_1100_0^8 + 35185411/7742012*c_1100_0^7 - 25993959/3871006*c_1100_0^6 + 89440797/7742012*c_1100_0^5 - 12185336/1935503*c_1100_0^4 - 11999569/7742012*c_1100_0^3 + 13229925/3871006*c_1100_0^2 + 17011637/3871006*c_1100_0 - 54251/7742012, c_0101_7 - 694625/7742012*c_1100_0^11 + 1593783/7742012*c_1100_0^10 - 1214677/1935503*c_1100_0^9 + 3850895/3871006*c_1100_0^8 - 14230303/7742012*c_1100_0^7 + 5345022/1935503*c_1100_0^6 - 36531215/7742012*c_1100_0^5 + 4915756/1935503*c_1100_0^4 + 11593313/7742012*c_1100_0^3 - 4632446/1935503*c_1100_0^2 - 4545310/1935503*c_1100_0 - 644747/7742012, c_0101_9 + 410052/1935503*c_1100_0^11 - 657824/1935503*c_1100_0^10 + 2687022/1935503*c_1100_0^9 - 3072916/1935503*c_1100_0^8 + 7740070/1935503*c_1100_0^7 - 9046334/1935503*c_1100_0^6 + 19016828/1935503*c_1100_0^5 - 4706522/1935503*c_1100_0^4 - 469983/1935503*c_1100_0^3 + 7999556/1935503*c_1100_0^2 + 9992540/1935503*c_1100_0 + 1197168/1935503, c_0110_10 - 685551/1935503*c_1100_0^11 + 1216134/1935503*c_1100_0^10 - 4644672/1935503*c_1100_0^9 + 5770014/1935503*c_1100_0^8 - 13613839/1935503*c_1100_0^7 + 16431498/1935503*c_1100_0^6 - 33552776/1935503*c_1100_0^5 + 10693695/1935503*c_1100_0^4 + 2180025/1935503*c_1100_0^3 - 17539709/1935503*c_1100_0^2 - 15540591/1935503*c_1100_0 - 2008072/1935503, c_1001_1 - 644747/7742012*c_1100_0^11 + 1984119/7742012*c_1100_0^10 - 1526753/1935503*c_1100_0^9 + 5653089/3871006*c_1100_0^8 - 21241477/7742012*c_1100_0^7 + 16463983/3871006*c_1100_0^6 - 55551679/7742012*c_1100_0^5 + 13484846/1935503*c_1100_0^4 - 19018277/7742012*c_1100_0^3 - 11921753/3871006*c_1100_0^2 + 3462169/3871006*c_1100_0 + 9794481/7742012, c_1100_0^12 - 2*c_1100_0^11 + 7*c_1100_0^10 - 10*c_1100_0^9 + 21*c_1100_0^8 - 29*c_1100_0^7 + 53*c_1100_0^6 - 27*c_1100_0^5 - c_1100_0^4 + 19*c_1100_0^3 + 18*c_1100_0^2 + c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.320 seconds, Total memory usage: 32.09MB