Magma V2.19-8 Tue Aug 20 2013 23:46:06 on localhost [Seed = 2134448770] Type ? for help. Type -D to quit. Loading file "K14n1257__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n1257 geometric_solution 11.48324249 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.713389302131 0.862718317587 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.336119467399 0.963792896594 8 0 6 5 0132 0132 1302 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.098016487224 1.427236493616 5 8 9 0 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746483212917 0.669311293463 9 10 0 10 1302 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.464425955243 0.947345969222 3 1 2 8 0132 0132 2031 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0.266725458444 0.721591160089 2 7 1 10 2031 0132 0132 1302 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 2 -1 -1 1 0 -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 0.429048834729 1.468843155867 11 6 9 1 0132 0132 3120 0132 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 -2 2 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 0.156225068006 0.553189987250 2 3 5 11 0132 0132 1230 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.165287907493 0.608022149318 11 4 7 3 2031 2031 3120 0132 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 1 -1 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488758326397 0.553069712936 11 4 6 4 3120 0132 2031 2103 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 -1 0 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 0.164130670870 0.837089155606 7 8 9 10 0132 0321 1302 3120 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 1 0 -2 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 0.651205354207 0.748778280572 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_3'], 'c_1001_10' : negation(d['c_0110_6']), 'c_1001_5' : negation(d['c_0101_8']), 'c_1001_4' : d['c_0110_6'], 'c_1001_7' : d['c_0110_4'], 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : negation(d['c_0101_8']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_0110_6'], 'c_1001_9' : negation(d['c_0110_4']), 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_0110_6'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_9']), '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_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_11'], 'c_1100_8' : d['c_0101_3'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : d['c_0101_0'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_7']), 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0110_4']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : d['c_0110_4'], 'c_1010_5' : negation(d['c_0101_8']), 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_8']), 'c_1010_0' : d['c_0110_6'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0011_10']), '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_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_11']), 'c_0110_6' : d['c_0110_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_7'], 'c_0110_10' : d['c_0101_7'], 'c_0011_6' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_9']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : negation(d['c_0011_9']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_9']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_9']), '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_9, c_0101_0, c_0101_10, c_0101_3, c_0101_7, c_0101_8, c_0110_4, c_0110_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 4733/420*c_0110_6^4 - 1997/60*c_0110_6^3 - 1406/105*c_0110_6^2 + 16567/420*c_0110_6 - 1739/105, c_0011_0 - 1, c_0011_10 - c_0110_6^4 + 3*c_0110_6^3 + c_0110_6, c_0011_11 - c_0110_6^4 + 4*c_0110_6^3 - 4*c_0110_6^2 + 2*c_0110_6 - 3, c_0011_9 + c_0110_6^4 - 4*c_0110_6^3 + 4*c_0110_6^2 - 3*c_0110_6 + 3, c_0101_0 + c_0110_6^3 - 3*c_0110_6^2 - 2, c_0101_10 - 2*c_0110_6^4 + 7*c_0110_6^3 - 4*c_0110_6^2 + 5*c_0110_6 - 3, c_0101_3 + c_0110_6^4 - 3*c_0110_6^3 + c_0110_6^2 - 4*c_0110_6, c_0101_7 - 2*c_0110_6^4 + 7*c_0110_6^3 - 4*c_0110_6^2 + 5*c_0110_6 - 3, c_0101_8 + c_0110_6^4 - 3*c_0110_6^3 + c_0110_6^2 - 3*c_0110_6 + 1, c_0110_4 - 2*c_0110_6^4 + 7*c_0110_6^3 - 4*c_0110_6^2 + 6*c_0110_6 - 3, c_0110_6^5 - 4*c_0110_6^4 + 4*c_0110_6^3 - 4*c_0110_6^2 + 3*c_0110_6 - 1, c_1001_0 - 1 ], 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_10, c_0101_3, c_0101_7, c_0101_8, c_0110_4, c_0110_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 17165887469/500755332*c_0110_6^9 - 22768627195/166918444*c_0110_6^8 - 3861943345/11922746*c_0110_6^7 - 3915429565/41729611*c_0110_6^6 - 162754546721/500755332*c_0110_6^5 + 2884553417/9818732*c_0110_6^4 + 64635818861/166918444*c_0110_6^3 + 6339363839/11380803*c_0110_6^2 + 43093326655/250377666*c_0110_6 + 19273444457/166918444, c_0011_0 - 1, c_0011_10 - c_0110_6^9 - 5*c_0110_6^8 - 15*c_0110_6^7 - 20*c_0110_6^6 - 35*c_0110_6^5 - 31*c_0110_6^4 - 28*c_0110_6^3 - 14*c_0110_6^2 - 8*c_0110_6 - 2, c_0011_11 + 626/449*c_0110_6^9 + 3254/449*c_0110_6^8 + 9795/449*c_0110_6^7 + 13370/449*c_0110_6^6 + 21533/449*c_0110_6^5 + 20623/449*c_0110_6^4 + 15449/449*c_0110_6^3 + 7842/449*c_0110_6^2 + 3472/449*c_0110_6 + 1069/449, c_0011_9 - 174/449*c_0110_6^9 - 170/449*c_0110_6^8 + 835/449*c_0110_6^7 + 6605/449*c_0110_6^6 + 6396/449*c_0110_6^5 + 15989/449*c_0110_6^4 + 12316/449*c_0110_6^3 + 10913/449*c_0110_6^2 + 2987/449*c_0110_6 + 2153/449, c_0101_0 - 627/449*c_0110_6^9 - 3384/449*c_0110_6^8 - 10345/449*c_0110_6^7 - 14790/449*c_0110_6^6 - 22611/449*c_0110_6^5 - 22949/449*c_0110_6^4 - 16173/449*c_0110_6^3 - 8556/449*c_0110_6^2 - 3380/449*c_0110_6 - 1245/449, c_0101_10 + 25/449*c_0110_6^9 + 556/449*c_0110_6^8 + 2525/449*c_0110_6^7 + 6764/449*c_0110_6^6 + 8541/449*c_0110_6^5 + 13250/449*c_0110_6^4 + 10916/449*c_0110_6^3 + 7523/449*c_0110_6^2 + 2190/449*c_0110_6 + 1257/449, c_0101_3 - 1071/449*c_0110_6^9 - 5428/449*c_0110_6^8 - 16126/449*c_0110_6^7 - 21160/449*c_0110_6^6 - 35181/449*c_0110_6^5 - 31973/449*c_0110_6^4 - 24227/449*c_0110_6^3 - 12170/449*c_0110_6^2 - 5636/449*c_0110_6 - 1263/449, c_0101_7 + 75/449*c_0110_6^9 + 770/449*c_0110_6^8 + 3085/449*c_0110_6^7 + 7271/449*c_0110_6^6 + 9908/449*c_0110_6^5 + 14606/449*c_0110_6^4 + 12094/449*c_0110_6^3 + 8650/449*c_0110_6^2 + 2978/449*c_0110_6 + 1526/449, c_0101_8 + 176/449*c_0110_6^9 + 879/449*c_0110_6^8 + 2510/449*c_0110_6^7 + 2970/449*c_0110_6^6 + 4740/449*c_0110_6^5 + 4378/449*c_0110_6^4 + 2602/449*c_0110_6^3 + 1740/449*c_0110_6^2 + 870/449*c_0110_6 + 444/449, c_0110_4 - 25/449*c_0110_6^9 - 556/449*c_0110_6^8 - 2525/449*c_0110_6^7 - 6764/449*c_0110_6^6 - 8541/449*c_0110_6^5 - 13250/449*c_0110_6^4 - 10916/449*c_0110_6^3 - 7523/449*c_0110_6^2 - 2639/449*c_0110_6 - 1257/449, c_0110_6^10 + 5*c_0110_6^9 + 15*c_0110_6^8 + 20*c_0110_6^7 + 35*c_0110_6^6 + 31*c_0110_6^5 + 28*c_0110_6^4 + 14*c_0110_6^3 + 9*c_0110_6^2 + 2*c_0110_6 + 1, c_1001_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.580 Total time: 0.780 seconds, Total memory usage: 32.09MB