Magma V2.19-8 Wed Aug 21 2013 00:51:30 on localhost [Seed = 492505196] Type ? for help. Type -D to quit. Loading file "L11n119__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n119 geometric_solution 12.49616960 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 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 0 0 0 0 0.620401922751 1.196780723756 0 5 7 6 0132 0132 0132 0132 1 1 1 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 0 0 0 0 0 0 0 0 0 -7 7 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 0.500000000000 0.708893738876 3 0 9 8 1023 0132 0132 0132 0 0 1 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 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 -0.000000000000 1.000000000000 10 2 7 0 0132 1023 3120 0132 0 1 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 0 0 0 0 0 0 0 0 0 -1 1 1 0 0 -1 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.341408676747 0.658591323253 11 5 0 8 0132 1302 0132 1230 0 1 1 1 0 0 1 -1 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 -1 0 1 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 0.240803845502 0.759196154498 10 1 8 4 1023 0132 3012 2031 1 0 1 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 0 0 0 0 0 0 0 0 0 7 -7 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 0.759196154498 0.759196154498 10 11 1 9 2103 3201 0132 2310 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 0 0 0 0 0 0 0 0 0 0 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 0.620401922751 1.196780723756 12 11 3 1 0132 3120 3120 0132 1 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 0 0 0 0 0 0 0 0 0 0 8 -1 -7 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 0.759196154498 0.759196154498 4 5 2 12 3012 1230 0132 0213 0 0 1 1 0 0 0 0 1 0 0 -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 -8 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000000 1.000000000000 6 10 12 2 3201 0321 0213 0132 0 0 1 1 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 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 0.000000000000 1.000000000000 3 5 6 9 0132 1023 2103 0321 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 0 0 0 0 0 0 0 0 0 -1 1 0 -1 0 0 1 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.759196154498 0.759196154498 4 7 6 12 0132 3120 2310 0132 0 1 1 1 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 1 -1 0 1 0 -1 0 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.240803845502 0.759196154498 7 9 11 8 0132 0213 0132 0213 0 1 0 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 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 1.000000000000 1.000000000000 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_2'], 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : negation(d['c_0011_8']), 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0011_8']), 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : d['c_0101_8'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : d['c_0101_8'], 'c_1010_12' : d['c_1010_12'], 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : d['c_0110_5'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_8'], 'c_0101_10' : d['c_0101_0'], '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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : 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' : 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_1010_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : d['c_0011_9'], 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : d['c_1010_12'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_6'], 'c_1100_10' : d['c_0011_12'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : d['c_0101_8'], 'c_1010_2' : d['c_0101_8'], 'c_1010_1' : negation(d['c_0011_8']), 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : d['c_0011_6'], 's_3_1' : 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'], 'c_1100_12' : d['c_0011_6'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : 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' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : negation(d['c_0011_12']), '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_9']), '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_0011_12'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : negation(d['c_0101_7']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1010_12'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_12'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_12, c_0011_6, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_7, c_0101_8, c_0110_5, c_1010_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 367/144*c_1010_12^5 - 55/36*c_1010_12^4 + 751/144*c_1010_12^3 + 479/72*c_1010_12^2 + 169/48*c_1010_12 + 181/72, c_0011_0 - 1, c_0011_11 + 2/9*c_1010_12^5 + 4/9*c_1010_12^4 + 5/9*c_1010_12^3 + 14/9*c_1010_12^2 + 8/3*c_1010_12 + 16/9, c_0011_12 + 4/9*c_1010_12^5 - 1/9*c_1010_12^4 + 10/9*c_1010_12^3 + 10/9*c_1010_12^2 + 7/3*c_1010_12 + 5/9, c_0011_6 - 1/9*c_1010_12^5 + 5/18*c_1010_12^4 - 5/18*c_1010_12^3 + 13/18*c_1010_12^2 - 1/3*c_1010_12 + 10/9, c_0011_8 - 8/9*c_1010_12^5 + 2/9*c_1010_12^4 - 20/9*c_1010_12^3 - 11/9*c_1010_12^2 - 14/3*c_1010_12 - 1/9, c_0011_9 - 1, c_0101_0 - 5/9*c_1010_12^5 + 8/9*c_1010_12^4 - 17/9*c_1010_12^3 + 10/9*c_1010_12^2 - 8/3*c_1010_12 + 32/9, c_0101_1 + 8/9*c_1010_12^5 - 2/9*c_1010_12^4 + 20/9*c_1010_12^3 + 11/9*c_1010_12^2 + 14/3*c_1010_12 + 1/9, c_0101_2 - 1/18*c_1010_12^5 - 1/9*c_1010_12^4 + 1/9*c_1010_12^3 - 7/18*c_1010_12^2 - 2/3*c_1010_12 - 4/9, c_0101_7 - 1/3*c_1010_12^5 - 1/6*c_1010_12^4 - 5/6*c_1010_12^3 - 5/6*c_1010_12^2 - 2*c_1010_12 - 2/3, c_0101_8 - 1, c_0110_5 + 1/18*c_1010_12^5 + 1/9*c_1010_12^4 - 1/9*c_1010_12^3 + 7/18*c_1010_12^2 - 1/3*c_1010_12 + 4/9, c_1010_12^6 + 3*c_1010_12^4 + 2*c_1010_12^3 + 7*c_1010_12^2 + 2*c_1010_12 + 2 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_12, c_0011_6, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_7, c_0101_8, c_0110_5, c_1010_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 47412/369083*c_1010_12^7 - 89692/369083*c_1010_12^6 + 180238/369083*c_1010_12^5 - 16102/28391*c_1010_12^4 + 568484/369083*c_1010_12^3 - 741882/369083*c_1010_12^2 + 668920/369083*c_1010_12 - 42358/12727, c_0011_0 - 1, c_0011_11 - 2302/33553*c_1010_12^7 + 5010/33553*c_1010_12^6 - 7468/33553*c_1010_12^5 + 908/2581*c_1010_12^4 - 8197/33553*c_1010_12^3 + 22332/33553*c_1010_12^2 - 37848/33553*c_1010_12 + 17510/33553, c_0011_12 + 46/979*c_1010_12^7 - 108/979*c_1010_12^6 + 179/979*c_1010_12^5 - 260/979*c_1010_12^4 + 455/979*c_1010_12^3 - 724/979*c_1010_12^2 + 1143/979*c_1010_12 - 815/979, c_0011_6 - 413/25454*c_1010_12^7 + 272/12727*c_1010_12^6 - 1373/25454*c_1010_12^5 + 137/1958*c_1010_12^4 + 2023/25454*c_1010_12^3 + 11225/25454*c_1010_12^2 - 1247/12727*c_1010_12 - 5431/25454, c_0011_8 + 6598/369083*c_1010_12^7 - 2466/369083*c_1010_12^6 - 23488/369083*c_1010_12^5 + 196/28391*c_1010_12^4 - 46556/369083*c_1010_12^3 - 14247/369083*c_1010_12^2 + 263506/369083*c_1010_12 + 282107/369083, c_0011_9 + 20158/369083*c_1010_12^7 - 74101/369083*c_1010_12^6 + 117984/369083*c_1010_12^5 - 15064/28391*c_1010_12^4 + 203688/369083*c_1010_12^3 - 275896/369083*c_1010_12^2 + 521782/369083*c_1010_12 - 275124/369083, c_0101_0 - 1145/33553*c_1010_12^7 + 2696/33553*c_1010_12^6 - 2840/33553*c_1010_12^5 + 196/2581*c_1010_12^4 - 98/33553*c_1010_12^3 + 3820/33553*c_1010_12^2 - 10080/33553*c_1010_12 + 5940/33553, c_0101_1 + 24624/369083*c_1010_12^7 - 54961/369083*c_1010_12^6 + 45252/369083*c_1010_12^5 - 8365/28391*c_1010_12^4 + 44188/369083*c_1010_12^3 - 84496/369083*c_1010_12^2 + 461172/369083*c_1010_12 + 90131/369083, c_0101_2 + 1065/25454*c_1010_12^7 - 2543/25454*c_1010_12^6 + 2402/12727*c_1010_12^5 - 761/1958*c_1010_12^4 + 4618/12727*c_1010_12^3 - 15017/25454*c_1010_12^2 + 11331/25454*c_1010_12 - 6572/12727, c_0101_7 - 1153/25454*c_1010_12^7 + 1992/12727*c_1010_12^6 - 5189/25454*c_1010_12^5 + 629/1958*c_1010_12^4 - 4275/25454*c_1010_12^3 + 3973/25454*c_1010_12^2 - 13250/12727*c_1010_12 + 7765/25454, c_0101_8 - 1, c_0110_5 - 1065/25454*c_1010_12^7 + 2543/25454*c_1010_12^6 - 2402/12727*c_1010_12^5 + 761/1958*c_1010_12^4 - 4618/12727*c_1010_12^3 + 15017/25454*c_1010_12^2 - 36785/25454*c_1010_12 + 6572/12727, c_1010_12^8 - 2*c_1010_12^7 + 4*c_1010_12^6 - 8*c_1010_12^5 + 7*c_1010_12^4 - 16*c_1010_12^3 + 24*c_1010_12^2 - 10*c_1010_12 + 29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.300 seconds, Total memory usage: 32.09MB