Magma V2.19-8 Tue Aug 20 2013 18:03:23 on localhost [Seed = 2934905641] Type ? for help. Type -D to quit. Loading file "9^2_34__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^2_34 geometric_solution 11.94287245 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2103 1 0 0 1 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 -1 0 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.493875490711 0.555079918404 0 4 5 0 0132 0132 0132 2103 0 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 1 0 -1 0 1 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 0.493875490711 0.555079918404 6 0 8 7 0132 0132 0132 0132 1 1 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 0 0 0 0 0 1 0 -1 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.105341324486 1.005530895833 4 7 9 0 0132 0132 0132 0132 1 0 1 0 0 0 0 0 -1 0 1 0 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 0 0 0 -1 0 0 1 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.223884781047 0.780337647319 3 1 9 10 0132 0132 3120 0132 0 0 0 1 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 1 -1 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 0.758918185996 0.654438071742 6 8 6 1 1023 2031 2031 0132 0 0 0 1 0 0 0 0 0 0 0 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 0 1 -1 0 0 1 -1 -1 0 0 1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.679178016576 0.545020160770 2 5 11 5 0132 1023 0132 1302 0 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 1 -1 0 1 0 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.679178016576 0.545020160770 8 3 2 11 2031 0132 0132 1230 1 1 0 1 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 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 0.640738841960 0.644224759766 5 10 7 2 1302 2103 1302 0132 1 1 0 0 0 0 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 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 0.251267820804 0.350535723225 12 10 4 3 0132 2310 3120 0132 1 0 0 0 0 0 0 0 1 0 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 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.692978161705 0.507766195017 12 8 4 9 2103 2103 0132 3201 0 0 1 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 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 0.494487517954 0.480126116356 7 12 12 6 3012 2103 2031 0132 0 1 1 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 1 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 0 0 0 0.319879078438 0.911063715717 9 11 10 11 0132 2103 2103 1302 1 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 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 0.526164397084 0.704829502355 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_0011_8'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_1001_2']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0011_8'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_2'], 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : negation(d['c_0101_5']), 'c_1010_11' : d['c_0101_5'], 'c_1010_10' : negation(d['c_1001_2']), 's_0_10' : d['1'], 's_0_11' : 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_0101_11'], 'c_0101_10' : d['c_0101_10'], '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_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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0011_12'], 'c_1100_7' : d['c_0101_6'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : d['c_0101_6'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_0']), 'c_1100_11' : d['c_0101_5'], 'c_1100_10' : d['c_0011_12'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : d['c_0011_8'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_0101_6'], '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'], 'c_1100_12' : d['c_0101_11'], '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' : negation(d['c_0011_12']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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_6'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : negation(d['c_0011_12']), 'c_0101_12' : d['c_0101_10'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_12']), 'c_0101_8' : negation(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_10'], 'c_0110_8' : d['c_0101_2'], '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_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_2']})} 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_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_5, c_0101_6, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 467033580002076/1816648295*c_1001_2^9 - 1858854550633793/1816648295*c_1001_2^8 + 831439686148462/363329659*c_1001_2^7 - 71119555403334/23592835*c_1001_2^6 + 1233989708991621/259521185*c_1001_2^5 - 39386096517814/37074455*c_1001_2^4 + 1313047370529726/363329659*c_1001_2^3 + 3837453871277017/1816648295*c_1001_2^2 + 1379246208102556/1816648295*c_1001_2 + 2383449673932123/1816648295, c_0011_0 - 1, c_0011_10 + 1172/16441*c_1001_2^9 - 1377/16441*c_1001_2^8 + 1425/16441*c_1001_2^7 - 789/16441*c_1001_2^6 + 15728/16441*c_1001_2^5 + 26708/16441*c_1001_2^4 + 42340/16441*c_1001_2^3 + 70120/16441*c_1001_2^2 + 38742/16441*c_1001_2 + 20071/16441, c_0011_12 - 3240/16441*c_1001_2^9 + 9923/16441*c_1001_2^8 - 17182/16441*c_1001_2^7 + 15536/16441*c_1001_2^6 - 38430/16441*c_1001_2^5 - 17834/16441*c_1001_2^4 - 58187/16441*c_1001_2^3 - 29886/16441*c_1001_2^2 - 16200/16441*c_1001_2 - 8464/16441, c_0011_8 - 8271/16441*c_1001_2^9 + 27295/16441*c_1001_2^8 - 41213/16441*c_1001_2^7 + 12989/16441*c_1001_2^6 - 28229/16441*c_1001_2^5 - 112843/16441*c_1001_2^4 - 14590/16441*c_1001_2^3 - 54645/16441*c_1001_2^2 - 8473/16441*c_1001_2 + 28447/16441, c_0101_0 + 3550/16441*c_1001_2^9 - 8183/16441*c_1001_2^8 + 6140/16441*c_1001_2^7 + 12003/16441*c_1001_2^6 + 4658/16441*c_1001_2^5 + 67544/16441*c_1001_2^4 + 43406/16441*c_1001_2^3 + 32441/16441*c_1001_2^2 + 34191/16441*c_1001_2 - 8588/16441, c_0101_1 - 1, c_0101_10 + 4981/16441*c_1001_2^9 - 18183/16441*c_1001_2^8 + 34828/16441*c_1001_2^7 - 32125/16441*c_1001_2^6 + 50403/16441*c_1001_2^5 + 31304/16441*c_1001_2^4 + 31976/16441*c_1001_2^3 + 51395/16441*c_1001_2^2 + 24905/16441*c_1001_2 + 7207/16441, c_0101_11 + 1741/16441*c_1001_2^9 - 8260/16441*c_1001_2^8 + 17646/16441*c_1001_2^7 - 16589/16441*c_1001_2^6 + 11973/16441*c_1001_2^5 + 13470/16441*c_1001_2^4 - 26211/16441*c_1001_2^3 + 21509/16441*c_1001_2^2 - 7736/16441*c_1001_2 - 1257/16441, c_0101_2 - 726/16441*c_1001_2^9 + 3350/16441*c_1001_2^8 - 5007/16441*c_1001_2^7 + 3603/16441*c_1001_2^6 - 5871/16441*c_1001_2^5 + 5564/16441*c_1001_2^4 + 19448/16441*c_1001_2^3 + 26368/16441*c_1001_2^2 + 45693/16441*c_1001_2 + 32934/16441, c_0101_5 - 4721/16441*c_1001_2^9 + 19112/16441*c_1001_2^8 - 35073/16441*c_1001_2^7 + 24992/16441*c_1001_2^6 - 23571/16441*c_1001_2^5 - 45299/16441*c_1001_2^4 + 28816/16441*c_1001_2^3 - 22204/16441*c_1001_2^2 + 25718/16441*c_1001_2 + 19859/16441, c_0101_6 - 7260/16441*c_1001_2^9 + 17059/16441*c_1001_2^8 - 17188/16441*c_1001_2^7 - 13293/16441*c_1001_2^6 - 25828/16441*c_1001_2^5 - 125211/16441*c_1001_2^4 - 134340/16441*c_1001_2^3 - 130904/16441*c_1001_2^2 - 102064/16441*c_1001_2 - 32362/16441, c_1001_0 + 6017/16441*c_1001_2^9 - 19793/16441*c_1001_2^8 + 28793/16441*c_1001_2^7 - 8189/16441*c_1001_2^6 + 22502/16441*c_1001_2^5 + 75450/16441*c_1001_2^4 - 2253/16441*c_1001_2^3 + 27582/16441*c_1001_2^2 - 2797/16441*c_1001_2 - 26338/16441, c_1001_2^10 - 3*c_1001_2^9 + 5*c_1001_2^8 - 3*c_1001_2^7 + 7*c_1001_2^6 + 14*c_1001_2^5 + 10*c_1001_2^4 + 22*c_1001_2^3 + 11*c_1001_2^2 + 8*c_1001_2 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.320 seconds, Total memory usage: 32.09MB