Magma V2.19-8 Wed Aug 21 2013 00:57:01 on localhost [Seed = 1107581101] Type ? for help. Type -D to quit. Loading file "L13n3514__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3514 geometric_solution 12.19029040 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 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 0 0 0 0 0 -7 6 1 -1 0 2 -1 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.019571846869 0.992600995066 0 5 5 6 0132 0132 1302 0132 1 0 0 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 0 0 0 0 0 0 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 0.338957390932 1.003894792188 4 0 8 7 0213 0132 0132 0132 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 7 0 -7 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757557931594 0.633338757560 9 9 7 0 0132 2310 0132 0132 1 0 0 1 0 -1 0 1 0 0 -1 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 6 0 -6 1 0 1 -2 0 -1 0 1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.253686566705 0.677053797935 2 5 0 10 0213 1230 0132 0132 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 -1 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 0.386174126864 0.764348365900 1 1 4 8 2031 0132 3012 2031 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.698086455034 0.894181521308 11 8 1 10 0132 2031 0132 0321 1 0 1 0 0 0 0 0 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 1 0 -1 0 0 1 -1 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.126097373380 0.710422093717 12 12 2 3 0132 3201 0132 0132 1 0 1 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 -7 7 0 1 0 0 -1 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.019571846869 0.992600995066 6 5 10 2 1302 1302 0132 0132 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.847524070168 0.885307156974 3 11 11 3 0132 3201 0132 3201 1 0 1 0 0 -1 0 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 6 0 -6 -1 0 0 1 6 0 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.485284237792 1.295155437445 12 6 4 8 3201 0321 0132 0132 1 0 1 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 1 -1 0 0 0 0 0 7 -6 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399095188000 0.524556270166 6 12 9 9 0132 3120 2310 0132 1 0 0 1 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 0 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.253686566705 0.677053797935 7 11 7 10 0132 3120 2310 2310 1 0 0 1 0 0 -1 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 0 7 -7 -1 0 0 1 0 0 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496453890626 0.490225745995 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0101_5'], 'c_1001_12' : negation(d['c_1001_11']), 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_12']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0011_8'], 'c_1001_0' : negation(d['c_0101_12']), 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0011_8'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_0011_8'], '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' : negation(d['c_0011_10']), '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_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_1001_2']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_3']), 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_0011_8'], 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : negation(d['c_0101_12']), 'c_1010_2' : negation(d['c_0101_12']), 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_1001_11']), 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_1100_0'], '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_0011_10'], '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_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : negation(d['c_0011_11']), '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' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : negation(d['c_0101_10']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_10']), 'c_0110_5' : d['c_0011_8'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : negation(d['c_0011_10'])})} 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_11, c_0011_3, c_0011_4, c_0011_8, c_0101_0, c_0101_10, c_0101_12, c_0101_5, c_1001_11, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 1/21*c_1100_0^3 + 2/21*c_1100_0^2 - 11/21*c_1100_0 + 2/7, c_0011_0 - 1, c_0011_10 + c_1100_0, c_0011_11 - c_1100_0^3 - 2*c_1100_0 + 1, c_0011_3 + c_1100_0^3 + c_1100_0 - 1, c_0011_4 - c_1100_0^3 + c_1100_0^2 - c_1100_0 + 2, c_0011_8 + c_1100_0^3 + c_1100_0, c_0101_0 - 1, c_0101_10 - c_1100_0^3 - c_1100_0 + 2, c_0101_12 + c_1100_0^3 + 2*c_1100_0 - 1, c_0101_5 + 2*c_1100_0^3 - c_1100_0^2 + 2*c_1100_0 - 2, c_1001_11 - 1, c_1001_2 + c_1100_0^3 + c_1100_0 - 1, c_1100_0^4 - c_1100_0^3 + 2*c_1100_0^2 - 2*c_1100_0 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0011_8, c_0101_0, c_0101_10, c_0101_12, c_0101_5, c_1001_11, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 44593908021913/725055061104*c_1100_0^14 - 64314540202885/483370040736*c_1100_0^13 + 205175460329867/322246693824*c_1100_0^12 - 1514751473286199/1450110122208*c_1100_0^11 + 197580160998169/85300595424*c_1100_0^10 - 513859773674569/170601190848*c_1100_0^9 + 13215283802629129/2900220244416*c_1100_0^8 - 77985318841565/16478524116*c_1100_0^7 + 828643053022511/161123346912*c_1100_0^6 - 3823000548693529/966740081472*c_1100_0^5 + 3979422028253339/1450110122208*c_1100_0^4 - 1218037348714445/966740081472*c_1100_0^3 + 453490469976535/966740081472*c_1100_0^2 - 17756839925555/120842510184*c_1100_0 + 39318555183463/2900220244416, c_0011_0 - 1, c_0011_10 - 340189104/98727541*c_1100_0^14 + 832898952/98727541*c_1100_0^13 - 3754601640/98727541*c_1100_0^12 + 6851146942/98727541*c_1100_0^11 - 14742955395/98727541*c_1100_0^10 + 20859443976/98727541*c_1100_0^9 - 31118583032/98727541*c_1100_0^8 + 3166934372/8975231*c_1100_0^7 - 38263015557/98727541*c_1100_0^6 + 32193308304/98727541*c_1100_0^5 - 24014995126/98727541*c_1100_0^4 + 12963133840/98727541*c_1100_0^3 - 5826790089/98727541*c_1100_0^2 + 1783044463/98727541*c_1100_0 - 357191999/98727541, c_0011_11 + c_1100_0, c_0011_3 - 19927284/98727541*c_1100_0^14 + 67734830/98727541*c_1100_0^13 - 346248119/98727541*c_1100_0^12 + 734937866/98727541*c_1100_0^11 - 2016803139/98727541*c_1100_0^10 + 2959041174/98727541*c_1100_0^9 - 5585422158/98727541*c_1100_0^8 + 569164702/8975231*c_1100_0^7 - 8879015905/98727541*c_1100_0^6 + 7614361028/98727541*c_1100_0^5 - 7939142658/98727541*c_1100_0^4 + 4649665208/98727541*c_1100_0^3 - 3063897654/98727541*c_1100_0^2 + 740193600/98727541*c_1100_0 - 212074845/98727541, c_0011_4 - 17573808/98727541*c_1100_0^14 + 72525780/98727541*c_1100_0^13 - 207776966/98727541*c_1100_0^12 + 565554285/98727541*c_1100_0^11 - 827611404/98727541*c_1100_0^10 + 1539570952/98727541*c_1100_0^9 - 1819097864/98727541*c_1100_0^8 + 217234761/8975231*c_1100_0^7 - 2250838476/98727541*c_1100_0^6 + 2094518606/98727541*c_1100_0^5 - 1409855804/98727541*c_1100_0^4 + 806897439/98727541*c_1100_0^3 - 414504448/98727541*c_1100_0^2 + 238138933/98727541*c_1100_0 + 13680265/98727541, c_0011_8 + 54721060/98727541*c_1100_0^14 - 154376458/98727541*c_1100_0^13 + 688137705/98727541*c_1100_0^12 - 1343238961/98727541*c_1100_0^11 + 3028001985/98727541*c_1100_0^10 - 4316078979/98727541*c_1100_0^9 + 6792792712/98727541*c_1100_0^8 - 701390189/8975231*c_1100_0^7 + 8928749041/98727541*c_1100_0^6 - 7791345801/98727541*c_1100_0^5 + 6294359961/98727541*c_1100_0^4 - 3721820589/98727541*c_1100_0^3 + 1873958109/98727541*c_1100_0^2 - 783871603/98727541*c_1100_0 + 235173247/98727541, c_0101_0 - 1, c_0101_10 - 17573808/98727541*c_1100_0^14 + 72525780/98727541*c_1100_0^13 - 207776966/98727541*c_1100_0^12 + 565554285/98727541*c_1100_0^11 - 827611404/98727541*c_1100_0^10 + 1539570952/98727541*c_1100_0^9 - 1819097864/98727541*c_1100_0^8 + 217234761/8975231*c_1100_0^7 - 2250838476/98727541*c_1100_0^6 + 2094518606/98727541*c_1100_0^5 - 1409855804/98727541*c_1100_0^4 + 806897439/98727541*c_1100_0^3 - 513231989/98727541*c_1100_0^2 + 238138933/98727541*c_1100_0 + 13680265/98727541, c_0101_12 + 340189104/98727541*c_1100_0^14 - 832898952/98727541*c_1100_0^13 + 3754601640/98727541*c_1100_0^12 - 6851146942/98727541*c_1100_0^11 + 14742955395/98727541*c_1100_0^10 - 20859443976/98727541*c_1100_0^9 + 31118583032/98727541*c_1100_0^8 - 3166934372/8975231*c_1100_0^7 + 38263015557/98727541*c_1100_0^6 - 32193308304/98727541*c_1100_0^5 + 24014995126/98727541*c_1100_0^4 - 12963133840/98727541*c_1100_0^3 + 5826790089/98727541*c_1100_0^2 - 1783044463/98727541*c_1100_0 + 357191999/98727541, c_0101_5 + 72294868/98727541*c_1100_0^14 - 226902238/98727541*c_1100_0^13 + 895914671/98727541*c_1100_0^12 - 1908793246/98727541*c_1100_0^11 + 3855613389/98727541*c_1100_0^10 - 5855649931/98727541*c_1100_0^9 + 8611890576/98727541*c_1100_0^8 - 918624950/8975231*c_1100_0^7 + 11179587517/98727541*c_1100_0^6 - 9885864407/98727541*c_1100_0^5 + 7704215765/98727541*c_1100_0^4 - 4528718028/98727541*c_1100_0^3 + 2288462557/98727541*c_1100_0^2 - 1022010536/98727541*c_1100_0 + 221492982/98727541, c_1001_11 + 560027064/98727541*c_1100_0^14 - 1112081320/98727541*c_1100_0^13 + 5594566260/98727541*c_1100_0^12 - 8415364653/98727541*c_1100_0^11 + 19450015353/98727541*c_1100_0^10 - 23122646339/98727541*c_1100_0^9 + 36629177340/98727541*c_1100_0^8 - 3114640286/8975231*c_1100_0^7 + 39037679913/98727541*c_1100_0^6 - 25653987446/98727541*c_1100_0^5 + 18364128471/98727541*c_1100_0^4 - 5560833774/98727541*c_1100_0^3 + 2472159518/98727541*c_1100_0^2 - 424621695/98727541*c_1100_0 + 166480483/98727541, c_1001_2 + 340189104/98727541*c_1100_0^14 - 832898952/98727541*c_1100_0^13 + 3754601640/98727541*c_1100_0^12 - 6851146942/98727541*c_1100_0^11 + 14742955395/98727541*c_1100_0^10 - 20859443976/98727541*c_1100_0^9 + 31118583032/98727541*c_1100_0^8 - 3166934372/8975231*c_1100_0^7 + 38263015557/98727541*c_1100_0^6 - 32193308304/98727541*c_1100_0^5 + 24014995126/98727541*c_1100_0^4 - 12963133840/98727541*c_1100_0^3 + 5826790089/98727541*c_1100_0^2 - 1881772004/98727541*c_1100_0 + 357191999/98727541, c_1100_0^15 - 5/2*c_1100_0^14 + 45/4*c_1100_0^13 - 83/4*c_1100_0^12 + 45*c_1100_0^11 - 255/4*c_1100_0^10 + 96*c_1100_0^9 - 431/4*c_1100_0^8 + 239/2*c_1100_0^7 - 405/4*c_1100_0^6 + 307/4*c_1100_0^5 - 169/4*c_1100_0^4 + 39/2*c_1100_0^3 - 27/4*c_1100_0^2 + 7/4*c_1100_0 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.360 seconds, Total memory usage: 32.09MB