Magma V2.19-8 Tue Aug 20 2013 17:57:16 on localhost [Seed = 610635812] Type ? for help. Type -D to quit. Loading file "9^2_12__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^2_12 geometric_solution 11.18847780 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1302 0132 0132 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 1 0 -1 -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 0.934626554925 0.758211568262 0 4 5 0 0132 0132 0132 2031 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 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 0.112876610651 1.309160805035 6 6 5 0 0132 1230 1302 0132 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.576565784098 0.705990945012 6 5 0 7 3120 1230 0132 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 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 0.454038994852 0.289126109004 8 1 8 9 0132 0132 3012 0132 1 1 1 0 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 0 -2 2 0 0 0 0 2 0 0 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617014546742 0.492961230488 2 7 3 1 2031 2031 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.170529727004 0.474930943110 2 10 2 3 0132 0132 3012 3120 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.306054197996 0.849719955738 5 11 3 11 1302 0132 0132 0213 1 1 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 0 0 0 0 1 -1 0 0 -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 0.474493026103 0.673892463388 4 4 11 9 0132 1230 0321 1023 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 1 -1 0 0 0 0 -1 0 0 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.982798628547 1.265013115065 10 10 4 8 3120 1023 0132 1023 1 1 0 1 0 1 -1 0 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 2 -2 0 -1 0 0 1 0 1 0 -1 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.635299775589 0.773371299809 9 6 11 9 1023 0132 1302 3120 1 1 0 1 0 0 -1 1 -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 -1 1 -2 0 1 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 0.498831247292 1.057805134961 10 7 8 7 2031 0132 0321 0213 1 1 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 -1 1 1 0 0 -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 0.474493026103 0.673892463388 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_5']), 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_1001_11'], 'c_1010_11' : d['c_0101_5'], 'c_1010_10' : negation(d['c_0011_10']), 's_3_11' : 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' : negation(d['c_0011_11']), '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' : d['1'], 's_2_6' : 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' : 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_1001_11']), 'c_1100_8' : d['c_1001_11'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_1001_11']), 'c_1100_7' : d['c_0101_5'], 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0101_5'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_11'], 'c_1100_10' : d['c_0101_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_3'], 'c_1010_9' : d['c_0101_4'], 'c_1010_8' : d['c_0101_4'], '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' : 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' : 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_10'], 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_10']), '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' : d['c_0011_10'], 'c_0110_11' : negation(d['c_0011_3']), 'c_0110_10' : d['c_0101_4'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_11']), 'c_0101_8' : negation(d['c_0101_11']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_11']), 'c_0110_7' : d['c_0011_3'], 'c_0011_10' : d['c_0011_10']})} 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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_11, c_0101_4, c_0101_5, c_1001_11, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 9848766407/1048639419*c_1001_3^9 - 173700139205/1048639419*c_1001_3^8 + 438347778851/349546473*c_1001_3^7 - 5370334962761/1048639419*c_1001_3^6 + 13323608587229/1048639419*c_1001_3^5 - 21224512612672/1048639419*c_1001_3^4 + 21991426979423/1048639419*c_1001_3^3 - 14360895529490/1048639419*c_1001_3^2 + 5344437145036/1048639419*c_1001_3 - 841282131584/1048639419, c_0011_0 - 1, c_0011_10 - 36464/826351*c_1001_3^9 + 332746/826351*c_1001_3^8 + 16996/826351*c_1001_3^7 - 12113429/826351*c_1001_3^6 + 56431611/826351*c_1001_3^5 - 123128247/826351*c_1001_3^4 + 151233133/826351*c_1001_3^3 - 107677114/826351*c_1001_3^2 + 40332455/826351*c_1001_3 - 7202495/826351, c_0011_11 + 51802/826351*c_1001_3^9 - 848448/826351*c_1001_3^8 + 5829386/826351*c_1001_3^7 - 20675718/826351*c_1001_3^6 + 43235423/826351*c_1001_3^5 - 58479061/826351*c_1001_3^4 + 55406778/826351*c_1001_3^3 - 38651468/826351*c_1001_3^2 + 18275068/826351*c_1001_3 - 4365776/826351, c_0011_3 - 379346/826351*c_1001_3^9 + 6373375/826351*c_1001_3^8 - 45420610/826351*c_1001_3^7 + 170548750/826351*c_1001_3^6 - 382856350/826351*c_1001_3^5 + 544755529/826351*c_1001_3^4 - 498308785/826351*c_1001_3^3 + 282872415/826351*c_1001_3^2 - 90757046/826351*c_1001_3 + 12669323/826351, c_0011_5 + 287142/826351*c_1001_3^9 - 4789210/826351*c_1001_3^8 + 33826505/826351*c_1001_3^7 - 125428880/826351*c_1001_3^6 + 277392770/826351*c_1001_3^5 - 387545636/826351*c_1001_3^4 + 346533239/826351*c_1001_3^3 - 191693441/826351*c_1001_3^2 + 60297350/826351*c_1001_3 - 8089952/826351, c_0101_0 - 192407/826351*c_1001_3^9 + 2970602/826351*c_1001_3^8 - 18747876/826351*c_1001_3^7 + 57039850/826351*c_1001_3^6 - 90056518/826351*c_1001_3^5 + 62842707/826351*c_1001_3^4 + 13187667/826351*c_1001_3^3 - 55591761/826351*c_1001_3^2 + 35401611/826351*c_1001_3 - 7968200/826351, c_0101_1 - 1, c_0101_11 + 473138/826351*c_1001_3^9 - 8174177/826351*c_1001_3^8 + 60068464/826351*c_1001_3^7 - 234004203/826351*c_1001_3^6 + 542256993/826351*c_1001_3^5 - 789935278/826351*c_1001_3^4 + 734343376/826351*c_1001_3^3 - 425189352/826351*c_1001_3^2 + 141656897/826351*c_1001_3 - 22261256/826351, c_0101_4 + 504908/826351*c_1001_3^9 - 8186070/826351*c_1001_3^8 + 55588496/826351*c_1001_3^7 - 193462139/826351*c_1001_3^6 + 390221662/826351*c_1001_3^5 - 477737339/826351*c_1001_3^4 + 353125182/826351*c_1001_3^3 - 144880945/826351*c_1001_3^2 + 26239863/826351*c_1001_3 - 106735/826351, c_0101_5 - 300317/826351*c_1001_3^9 + 5218502/826351*c_1001_3^8 - 38694439/826351*c_1001_3^7 + 153058552/826351*c_1001_3^6 - 363328756/826351*c_1001_3^5 + 547576288/826351*c_1001_3^4 - 531133449/826351*c_1001_3^3 + 321496958/826351*c_1001_3^2 - 110712261/826351*c_1001_3 + 17011329/826351, c_1001_11 - 170507/826351*c_1001_3^9 + 3080231/826351*c_1001_3^8 - 23777468/826351*c_1001_3^7 + 98420554/826351*c_1001_3^6 - 242884082/826351*c_1001_3^5 + 378266296/826351*c_1001_3^4 - 378776485/826351*c_1001_3^3 + 238715578/826351*c_1001_3^2 - 86984656/826351*c_1001_3 + 14695467/826351, c_1001_3^10 - 18*c_1001_3^9 + 140*c_1001_3^8 - 595*c_1001_3^7 + 1560*c_1001_3^6 - 2683*c_1001_3^5 + 3104*c_1001_3^4 - 2403*c_1001_3^3 + 1198*c_1001_3^2 - 350*c_1001_3 + 47 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB