Magma V2.19-8 Wed Aug 21 2013 00:54:45 on localhost [Seed = 274074201] Type ? for help. Type -D to quit. Loading file "L12n624__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n624 geometric_solution 11.23289685 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 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 1 0 -1 -1 0 1 0 -1 -2 0 3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.754764276132 0.618564634937 0 5 7 6 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 3 0 -3 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 0.645867500282 1.367579267137 8 0 9 5 0132 0132 0132 3012 1 0 1 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 0 1 1 0 0 -1 0 -1 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365979576702 1.295737627557 10 11 6 0 0132 0132 3201 0132 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 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 0 0 0 0 0.008383189166 0.752645743851 10 6 0 12 3120 2310 0132 0132 1 1 1 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 1 0 0 0 0 0 0 1 0 -1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.378422957838 0.774606117314 8 1 2 9 2310 0132 1230 2310 0 1 0 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 -3 1 2 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 1.196360647003 0.729491808669 3 12 1 4 2310 2310 0132 3201 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 3 -3 0 0 1 -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 0.496660186685 1.566634837348 11 8 10 1 0213 2310 0213 0132 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 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 0.471232111848 0.447662682403 2 11 5 7 0132 0213 3201 3201 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 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 0.635322063641 0.722570641869 5 12 12 2 3201 1023 0213 0132 1 0 0 1 0 0 0 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 0 0 0 0 0 0 0 -2 0 0 2 -1 7 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574522350874 1.270275449952 3 7 11 4 0132 0213 1230 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.374231820457 1.244307543654 7 3 8 10 0213 0132 0213 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.652677523343 0.275361756536 9 9 4 6 1023 0213 0132 3201 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 -7 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.704414493872 0.653542914780 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_5']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0110_12'], 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0110_12'], 'c_1001_9' : d['c_0101_12'], 'c_1001_8' : negation(d['c_0101_5']), 'c_1010_12' : negation(d['c_1001_5']), 'c_1010_11' : negation(d['c_0101_0']), 'c_1010_10' : negation(d['c_0011_4']), 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_0'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : negation(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' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : negation(d['1']), 's_0_8' : negation(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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_1001_5']), 'c_1100_8' : negation(d['c_0011_0']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_12'], 'c_1100_4' : negation(d['c_0011_6']), 'c_1100_7' : negation(d['c_0011_4']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : negation(d['c_1001_5']), 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_1001_10']), 'c_1100_10' : negation(d['c_0101_1']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0110_12']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_12'], 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0110_12'], 'c_1010_9' : d['c_0110_12'], 'c_1010_8' : negation(d['c_1001_10']), '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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_6']), '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' : negation(d['1']), 's_1_1' : 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_12'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_1']), 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_12'], '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_0011_12'], 'c_0011_10' : d['c_0011_10'], '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' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_12'], 'c_0110_5' : negation(d['c_0011_12']), 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_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_10, c_0011_12, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_5, c_0110_12, c_1001_10, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 142427082777/856615958*c_1001_5^10 + 150223298483/4283079790*c_1001_5^9 - 1520871003/2311430*c_1001_5^8 + 4393140103713/4283079790*c_1001_5^7 + 1891532287489/2141539895*c_1001_5^6 - 21297681522529/4283079790*c_1001_5^5 + 26240429152426/2141539895*c_1001_5^4 - 5509086869997/428307979*c_1001_5^3 + 19739958677914/2141539895*c_1001_5^2 - 877278749009/251945870*c_1001_5 + 3099109280613/4283079790, c_0011_0 - 1, c_0011_10 - 34729/42026*c_1001_5^10 - 15645/42026*c_1001_5^9 + 145903/42026*c_1001_5^8 - 84174/21013*c_1001_5^7 - 268177/42026*c_1001_5^6 + 1016331/42026*c_1001_5^5 - 2217993/42026*c_1001_5^4 + 1849365/42026*c_1001_5^3 - 400661/21013*c_1001_5^2 + 114665/42026*c_1001_5 + 27419/21013, c_0011_12 - 5988/21013*c_1001_5^10 - 7759/42026*c_1001_5^9 + 49427/42026*c_1001_5^8 - 46449/42026*c_1001_5^7 - 51208/21013*c_1001_5^6 + 329425/42026*c_1001_5^5 - 691669/42026*c_1001_5^4 + 490147/42026*c_1001_5^3 - 181475/42026*c_1001_5^2 + 14670/21013*c_1001_5 + 18669/42026, c_0011_4 - 16771/21013*c_1001_5^10 + 5265/42026*c_1001_5^9 + 139553/42026*c_1001_5^8 - 257171/42026*c_1001_5^7 - 60998/21013*c_1001_5^6 + 1103903/42026*c_1001_5^5 - 2823937/42026*c_1001_5^4 + 3351207/42026*c_1001_5^3 - 2435005/42026*c_1001_5^2 + 487224/21013*c_1001_5 - 162443/42026, c_0011_6 - 4537/42026*c_1001_5^10 - 12423/42026*c_1001_5^9 + 11189/42026*c_1001_5^8 + 8401/21013*c_1001_5^7 - 76095/42026*c_1001_5^6 + 46115/42026*c_1001_5^5 - 22929/42026*c_1001_5^4 - 357799/42026*c_1001_5^3 + 166953/21013*c_1001_5^2 - 223923/42026*c_1001_5 + 9108/21013, c_0101_0 - 1, c_0101_1 - 33675/21013*c_1001_5^10 - 5168/21013*c_1001_5^9 + 137556/21013*c_1001_5^8 - 425521/42026*c_1001_5^7 - 363263/42026*c_1001_5^6 + 1035088/21013*c_1001_5^5 - 5011367/42026*c_1001_5^4 + 5285487/42026*c_1001_5^3 - 1784040/21013*c_1001_5^2 + 643977/21013*c_1001_5 - 205331/42026, c_0101_12 + 37753/42026*c_1001_5^10 + 5328/21013*c_1001_5^9 - 153583/42026*c_1001_5^8 + 219197/42026*c_1001_5^7 + 118068/21013*c_1001_5^6 - 1137159/42026*c_1001_5^5 + 1330253/21013*c_1001_5^4 - 2578085/42026*c_1001_5^3 + 1604245/42026*c_1001_5^2 - 230383/21013*c_1001_5 + 32884/21013, c_0101_2 - 11603/21013*c_1001_5^10 - 447/42026*c_1001_5^9 + 46812/21013*c_1001_5^8 - 81654/21013*c_1001_5^7 - 52161/21013*c_1001_5^6 + 363635/21013*c_1001_5^5 - 922937/21013*c_1001_5^4 + 2070087/42026*c_1001_5^3 - 1500409/42026*c_1001_5^2 + 573629/42026*c_1001_5 - 95093/42026, c_0101_5 - 58533/42026*c_1001_5^10 - 26821/42026*c_1001_5^9 + 115353/21013*c_1001_5^8 - 146959/21013*c_1001_5^7 - 200085/21013*c_1001_5^6 + 824294/21013*c_1001_5^5 - 3845199/42026*c_1001_5^4 + 1750160/21013*c_1001_5^3 - 1092524/21013*c_1001_5^2 + 345827/21013*c_1001_5 - 107215/42026, c_0110_12 + 4537/42026*c_1001_5^10 + 12423/42026*c_1001_5^9 - 11189/42026*c_1001_5^8 - 8401/21013*c_1001_5^7 + 76095/42026*c_1001_5^6 - 46115/42026*c_1001_5^5 + 22929/42026*c_1001_5^4 + 357799/42026*c_1001_5^3 - 166953/21013*c_1001_5^2 + 265949/42026*c_1001_5 - 30121/21013, c_1001_10 + 9108/21013*c_1001_5^10 - 4537/42026*c_1001_5^9 - 85287/42026*c_1001_5^8 + 138701/42026*c_1001_5^7 + 44833/21013*c_1001_5^6 - 640791/42026*c_1001_5^5 + 1503395/42026*c_1001_5^4 - 1717017/42026*c_1001_5^3 + 953753/42026*c_1001_5^2 - 154624/21013*c_1001_5 - 17953/42026, c_1001_5^11 - 4*c_1001_5^9 + 7*c_1001_5^8 + 4*c_1001_5^7 - 31*c_1001_5^6 + 80*c_1001_5^5 - 93*c_1001_5^4 + 72*c_1001_5^3 - 33*c_1001_5^2 + 9*c_1001_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.350 seconds, Total memory usage: 32.09MB