Magma V2.19-8 Tue Aug 20 2013 23:38:20 on localhost [Seed = 1124411242] Type ? for help. Type -D to quit. Loading file "K13n3393__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n3393 geometric_solution 9.29137513 oriented_manifold CS_known -0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 10 1 2 2 3 0132 0132 2031 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 -1 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 0.547131420769 0.804628037128 0 3 4 2 0132 1302 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.102863209340 1.164946426884 1 0 5 0 3201 0132 0132 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 0 -1 -1 0 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 0 0.377252021517 0.380888408202 6 4 0 1 0132 0213 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.507772445854 0.686288628315 7 5 3 1 0132 0132 0213 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.973478159576 0.673603333890 8 4 8 2 0132 0132 3120 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 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 0.667095078134 0.761205098459 3 9 8 7 0132 0132 2310 0132 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 -8 1 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.100105556721 0.578997570242 4 9 6 9 0132 0321 0132 1230 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 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.834702451866 0.905680984824 5 6 5 9 0132 3201 3120 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 0 0 0 0 0 -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 0.667095078134 0.761205098459 7 6 8 7 3012 0132 1230 0321 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 8 -1 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.733126393342 1.641595079161 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : d['c_0101_6'], 'c_1001_0' : negation(d['c_0110_2']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : negation(d['c_0101_6']), 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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' : d['c_0101_5'], 'c_1100_8' : negation(d['c_0101_5']), 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_0101_0'], 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0110_2']), 'c_1010_1' : negation(d['c_0110_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_9'], 'c_1010_8' : negation(d['c_0101_9']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : d['c_0011_4'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : negation(d['c_0011_3']), '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_0101_7' : d['c_0101_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_0']), 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_5, c_0101_6, c_0101_9, c_0110_2, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 50469917075126290469131/25214524432983773451616*c_1001_2^14 + 470998978716118123378959/25214524432983773451616*c_1001_2^13 - 2281068279350073159134373/25214524432983773451616*c_1001_2^12 + 3185016829438633930764235/12607262216491886725808*c_1001_2^11 - 179773680812044082032799/484894700634303335608*c_1001_2^10 + 5118660126043205813627581/25214524432983773451616*c_1001_2^9 + 3434093808447809800639675/25214524432983773451616*c_1001_2^8 - 5927035914486365532353917/12607262216491886725808*c_1001_2^7 + 6134422464964539784249767/6303631108245943362904*c_1001_2^6 - 23862733183455971711895319/25214524432983773451616*c_1001_2^5 - 2387722465744470525186265/6303631108245943362904*c_1001_2^4 + 33276185761638365256594711/25214524432983773451616*c_1001_2^3 - 1133606906620140239949287/1939578802537213342432*c_1001_2^2 - 12974411314622128032907/66882027673697011808*c_1001_2 + 203758723911594897048907/1575907777061485840726, c_0011_0 - 1, c_0011_3 - 1210822409409/1054616565053*c_1001_2^14 + 9322888494167/1054616565053*c_1001_2^13 - 39972304559732/1054616565053*c_1001_2^12 + 91055428162702/1054616565053*c_1001_2^11 - 90416549308278/1054616565053*c_1001_2^10 + 7840573906254/1054616565053*c_1001_2^9 + 64560498303245/1054616565053*c_1001_2^8 - 179255068551298/1054616565053*c_1001_2^7 + 322975353241608/1054616565053*c_1001_2^6 - 110961046842438/1054616565053*c_1001_2^5 - 298928268530126/1054616565053*c_1001_2^4 + 277845154380782/1054616565053*c_1001_2^3 - 19119065130208/1054616565053*c_1001_2^2 - 43433525201333/1054616565053*c_1001_2 + 13704684393945/1054616565053, c_0011_4 + 545900419865/4218466260212*c_1001_2^14 - 4671473346609/4218466260212*c_1001_2^13 + 20791903962151/4218466260212*c_1001_2^12 - 25634009716163/2109233130106*c_1001_2^11 + 14019159317644/1054616565053*c_1001_2^10 - 5166583348243/4218466260212*c_1001_2^9 - 36783166417793/4218466260212*c_1001_2^8 + 45153952715071/2109233130106*c_1001_2^7 - 48141015880538/1054616565053*c_1001_2^6 + 85795348672045/4218466260212*c_1001_2^5 + 45431517605702/1054616565053*c_1001_2^4 - 168616085357609/4218466260212*c_1001_2^3 + 2605632896133/4218466260212*c_1001_2^2 + 24288076582041/4218466260212*c_1001_2 - 1293829560115/1054616565053, c_0101_0 - 744151708711/2109233130106*c_1001_2^14 + 5679341154053/2109233130106*c_1001_2^13 - 24378597975345/2109233130106*c_1001_2^12 + 27765680611797/1054616565053*c_1001_2^11 - 28204064150986/1054616565053*c_1001_2^10 + 8530900382845/2109233130106*c_1001_2^9 + 38272973549947/2109233130106*c_1001_2^8 - 55703636701342/1054616565053*c_1001_2^7 + 98359194506871/1054616565053*c_1001_2^6 - 76048797122057/2109233130106*c_1001_2^5 - 84458075208509/1054616565053*c_1001_2^4 + 176143010782673/2109233130106*c_1001_2^3 - 25912342631523/2109233130106*c_1001_2^2 - 24643996320897/2109233130106*c_1001_2 + 5185167420932/1054616565053, c_0101_1 - 509012112173/1054616565053*c_1001_2^14 + 3809962749614/1054616565053*c_1001_2^13 - 16139270202152/1054616565053*c_1001_2^12 + 35792982798160/1054616565053*c_1001_2^11 - 34058362807194/1054616565053*c_1001_2^10 + 2393073328976/1054616565053*c_1001_2^9 + 25408899548157/1054616565053*c_1001_2^8 - 72795698496659/1054616565053*c_1001_2^7 + 124572749792325/1054616565053*c_1001_2^6 - 36832365851005/1054616565053*c_1001_2^5 - 116198138649833/1054616565053*c_1001_2^4 + 104991874514932/1054616565053*c_1001_2^3 - 8539628618880/1054616565053*c_1001_2^2 - 17139383840398/1054616565053*c_1001_2 + 7007830234741/1054616565053, c_0101_5 + 2143404679961/4218466260212*c_1001_2^14 - 16615503622209/4218466260212*c_1001_2^13 + 71409375016607/4218466260212*c_1001_2^12 - 81823682923913/2109233130106*c_1001_2^11 + 40919066885216/1054616565053*c_1001_2^10 - 14361279851591/4218466260212*c_1001_2^9 - 118473901122989/4218466260212*c_1001_2^8 + 162275494269093/2109233130106*c_1001_2^7 - 145873934739483/1054616565053*c_1001_2^6 + 207059182385841/4218466260212*c_1001_2^5 + 134385841891173/1054616565053*c_1001_2^4 - 517768094587513/4218466260212*c_1001_2^3 + 44840370004129/4218466260212*c_1001_2^2 + 88729905289657/4218466260212*c_1001_2 - 7645399989309/1054616565053, c_0101_6 - 543006812943/4218466260212*c_1001_2^14 + 4042124473795/4218466260212*c_1001_2^13 - 16755611717997/4218466260212*c_1001_2^12 + 17936753131935/2109233130106*c_1001_2^11 - 7292283282962/1054616565053*c_1001_2^10 - 5499342779247/4218466260212*c_1001_2^9 + 23371689964259/4218466260212*c_1001_2^8 - 35131215769903/2109233130106*c_1001_2^7 + 30733779105234/1054616565053*c_1001_2^6 - 6092747360267/4218466260212*c_1001_2^5 - 32917297743889/1054616565053*c_1001_2^4 + 66641711694807/4218466260212*c_1001_2^3 + 16834009549973/4218466260212*c_1001_2^2 - 8960651257111/4218466260212*c_1001_2 - 710286830931/1054616565053, c_0101_9 + 31334719459/1054616565053*c_1001_2^14 - 335514175684/1054616565053*c_1001_2^13 + 1617970381926/1054616565053*c_1001_2^12 - 4601251684357/1054616565053*c_1001_2^11 + 6143963656768/1054616565053*c_1001_2^10 - 1902316924000/1054616565053*c_1001_2^9 - 2852193939061/1054616565053*c_1001_2^8 + 7683181899938/1054616565053*c_1001_2^7 - 18704181757512/1054616565053*c_1001_2^6 + 13347714115050/1054616565053*c_1001_2^5 + 12930757332192/1054616565053*c_1001_2^4 - 19139305087389/1054616565053*c_1001_2^3 + 5057000313940/1054616565053*c_1001_2^2 + 2032220278252/1054616565053*c_1001_2 - 1121413199537/1054616565053, c_0110_2 - 787753081427/1054616565053*c_1001_2^14 + 6117029163311/1054616565053*c_1001_2^13 - 26418228818039/1054616565053*c_1001_2^12 + 61028817500007/1054616565053*c_1001_2^11 - 62989347907617/1054616565053*c_1001_2^10 + 9280497400461/1054616565053*c_1001_2^9 + 41985280989120/1054616565053*c_1001_2^8 - 119572603755809/1054616565053*c_1001_2^7 + 217484999684205/1054616565053*c_1001_2^6 - 87237808414813/1054616565053*c_1001_2^5 - 189660221676172/1054616565053*c_1001_2^4 + 196403360233403/1054616565053*c_1001_2^3 - 24099993422589/1054616565053*c_1001_2^2 - 29759128667157/1054616565053*c_1001_2 + 10194652439237/1054616565053, c_1001_2^15 - 9*c_1001_2^14 + 43*c_1001_2^13 - 118*c_1001_2^12 + 172*c_1001_2^11 - 103*c_1001_2^10 - 45*c_1001_2^9 + 218*c_1001_2^8 - 460*c_1001_2^7 + 437*c_1001_2^6 + 128*c_1001_2^5 - 549*c_1001_2^4 + 317*c_1001_2^3 + 13*c_1001_2^2 - 60*c_1001_2 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.340 seconds, Total memory usage: 32.09MB