Magma V2.19-8 Wed Aug 21 2013 01:05:34 on localhost [Seed = 1157848517] Type ? for help. Type -D to quit. Loading file "L14n26393__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n26393 geometric_solution 12.30485042 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 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 1 0 -1 2 0 -2 0 1 -3 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.309098266327 1.673363451738 0 5 4 6 0132 0132 1230 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 -2 0 2 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 0.419466573472 0.404576761060 3 0 8 7 1023 0132 0132 0132 1 1 0 1 0 0 -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 -1 3 -2 0 0 0 0 0 -1 0 1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.313408763582 0.762102455577 6 2 5 0 0132 1023 2031 0132 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 0 0 0 0 0 0 0 0 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 0 0 0.256231021335 0.625743060085 9 10 0 1 0132 0132 0132 3012 1 1 1 1 0 0 0 0 0 0 0 0 0 -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 1 -1 0 0 0 0 0 2 0 -2 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.025358365907 0.762217695235 6 1 11 3 1023 0132 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 2 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 0.163709797950 1.034504215001 3 5 1 12 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.931636204226 1.023390200402 11 11 2 10 1302 3012 0132 3120 1 1 1 0 0 0 -1 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 2 -2 0 0 0 0 2 0 0 -2 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.701867744226 0.904449018966 12 10 10 2 1302 0321 1023 0132 1 1 1 1 0 0 -1 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 3 -3 0 0 0 0 -3 0 0 3 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.685187089158 0.949209579327 4 11 12 12 0132 0213 0132 1230 1 1 1 1 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 0 3 -3 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.381358877806 0.865010930033 7 4 8 8 3120 0132 1023 0321 1 1 1 1 0 0 0 0 0 0 1 -1 -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 -3 3 2 -2 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586986126951 1.112574634273 7 7 9 5 1230 2031 0213 0132 1 1 0 1 0 1 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 0 0 0 -2 0 2 0 0 0 0 -3 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.701867744226 0.904449018966 9 8 6 9 3012 2031 0132 0132 1 1 1 1 0 -1 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 0 0 0 0 3 0 -3 3 0 0 -3 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.942531442391 0.857797616126 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_8'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0101_2']), 'c_1001_5' : d['c_0011_7'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_11']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_8'], 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : d['c_0011_8'], 'c_1010_11' : d['c_0011_7'], 'c_1010_10' : d['c_1001_2'], 's_3_11' : 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_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' : negation(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' : negation(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' : negation(d['c_0101_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_12'], 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : d['c_0101_9'], 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0101_10']), 's_0_10' : d['1'], 'c_1100_9' : d['c_0101_9'], 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : d['c_0101_10'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_12']), 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : negation(d['c_0011_11']), 'c_1010_1' : d['c_0011_7'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : negation(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_9'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(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' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], '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_0011_7'], 'c_0110_10' : negation(d['c_0011_8']), 'c_0110_12' : d['c_0101_9'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0011_12'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_12'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_12']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_12'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_12'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : d['c_0101_12']})} 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_12, c_0011_7, c_0011_8, c_0101_0, c_0101_10, c_0101_12, c_0101_2, c_0101_9, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 1407769380619967774826/386592601105493565029*c_1001_2^11 - 9249235505385991100320/386592601105493565029*c_1001_2^10 + 49509553153088905678077/386592601105493565029*c_1001_2^9 - 175758666596839676290661/386592601105493565029*c_1001_2^8 + 3008971935784413763821/3753326224325180243*c_1001_2^7 - 348904189275038255405635/386592601105493565029*c_1001_2^6 + 647573814239064267405070/386592601105493565029*c_1001_2^5 - 1158130705775429772555966/386592601105493565029*c_1001_2^4 + 1090094860944686708549904/386592601105493565029*c_1001_2^3 - 642770319641719469287860/386592601105493565029*c_1001_2^2 + 369175699122021379023823/386592601105493565029*c_1001_2 - 100310773753913379569829/386592601105493565029, c_0011_0 - 1, c_0011_10 + 20817070866364/55109257849049*c_1001_2^11 - 137012961861459/55109257849049*c_1001_2^10 + 733221641183641/55109257849049*c_1001_2^9 - 2604790916514924/55109257849049*c_1001_2^8 + 4598494148047556/55109257849049*c_1001_2^7 - 5164676037635163/55109257849049*c_1001_2^6 + 9566202169343205/55109257849049*c_1001_2^5 - 17158386745348301/55109257849049*c_1001_2^4 + 16140475401563514/55109257849049*c_1001_2^3 - 9478433167910677/55109257849049*c_1001_2^2 + 5396717956759789/55109257849049*c_1001_2 - 1456114697946602/55109257849049, c_0011_11 + 33905469228562/165327773547147*c_1001_2^11 - 230731186351388/165327773547147*c_1001_2^10 + 1235265716133343/165327773547147*c_1001_2^9 - 1487973068201701/55109257849049*c_1001_2^8 + 8194296773522716/165327773547147*c_1001_2^7 - 9341241230333870/165327773547147*c_1001_2^6 + 16632340223335397/165327773547147*c_1001_2^5 - 10192717832539613/55109257849049*c_1001_2^4 + 29798873579129819/165327773547147*c_1001_2^3 - 17998934002440734/165327773547147*c_1001_2^2 + 3528010372243757/55109257849049*c_1001_2 - 3002182837913729/165327773547147, c_0011_12 - 1, c_0011_7 + 86788656696068/165327773547147*c_1001_2^11 - 568153743137401/165327773547147*c_1001_2^10 + 3041686536248000/165327773547147*c_1001_2^9 - 3593426473629041/55109257849049*c_1001_2^8 + 18938776983512990/165327773547147*c_1001_2^7 - 21349936121580082/165327773547147*c_1001_2^6 + 39791842603429927/165327773547147*c_1001_2^5 - 23587984258657935/55109257849049*c_1001_2^4 + 66539163826854664/165327773547147*c_1001_2^3 - 39607308888290056/165327773547147*c_1001_2^2 + 7501746267819735/55109257849049*c_1001_2 - 6092605738523107/165327773547147, c_0011_8 + 10333145703122/55109257849049*c_1001_2^11 - 67160277884091/55109257849049*c_1001_2^10 + 358906890500851/55109257849049*c_1001_2^9 - 1266618131366492/55109257849049*c_1001_2^8 + 2194858705584103/55109257849049*c_1001_2^7 - 2441785632971306/55109257849049*c_1001_2^6 + 4643888653059003/55109257849049*c_1001_2^5 - 8225678594375109/55109257849049*c_1001_2^4 + 7538144833290039/55109257849049*c_1001_2^3 - 4442537629396661/55109257849049*c_1001_2^2 + 2590510875689440/55109257849049*c_1001_2 - 687675033020134/55109257849049, c_0101_0 - 82076743432757/165327773547147*c_1001_2^11 + 540008048605480/165327773547147*c_1001_2^10 - 2886825750376571/165327773547147*c_1001_2^9 + 3416496125037910/55109257849049*c_1001_2^8 - 18033940428251396/165327773547147*c_1001_2^7 + 20110414417832869/165327773547147*c_1001_2^6 - 37494469055290846/165327773547147*c_1001_2^5 + 22477128832819536/55109257849049*c_1001_2^4 - 62751986636420338/165327773547147*c_1001_2^3 + 36366968883108088/165327773547147*c_1001_2^2 - 7010469954332860/55109257849049*c_1001_2 + 5453956115235241/165327773547147, c_0101_10 - 5298137729198/55109257849049*c_1001_2^11 + 34830784325146/55109257849049*c_1001_2^10 - 187943534917436/55109257849049*c_1001_2^9 + 669257265675335/55109257849049*c_1001_2^8 - 1207427511730319/55109257849049*c_1001_2^7 + 1427937247019315/55109257849049*c_1001_2^6 - 2542570025363867/55109257849049*c_1001_2^5 + 4463962688490436/55109257849049*c_1001_2^4 - 4495390692210532/55109257849049*c_1001_2^3 + 2840973456692471/55109257849049*c_1001_2^2 - 1519576730311483/55109257849049*c_1001_2 + 399346824505334/55109257849049, c_0101_12 + 19830095238684/55109257849049*c_1001_2^11 - 130188223779342/55109257849049*c_1001_2^10 + 696422435836078/55109257849049*c_1001_2^9 - 2470720670461764/55109257849049*c_1001_2^8 + 4344271641684390/55109257849049*c_1001_2^7 - 4866918573501823/55109257849049*c_1001_2^6 + 9066277654945831/55109257849049*c_1001_2^5 - 16233368642500069/55109257849049*c_1001_2^4 + 15198162624768405/55109257849049*c_1001_2^3 - 8873619871418857/55109257849049*c_1001_2^2 + 5063845552032725/55109257849049*c_1001_2 - 1380497482231600/55109257849049, c_0101_2 - 2619390068948/55109257849049*c_1001_2^11 + 16517094118565/55109257849049*c_1001_2^10 - 88565637209998/55109257849049*c_1001_2^9 + 307203156642238/55109257849049*c_1001_2^8 - 515457294784764/55109257849049*c_1001_2^7 + 566935146251975/55109257849049*c_1001_2^6 - 1094539239737911/55109257849049*c_1001_2^5 + 1911442097301385/55109257849049*c_1001_2^4 - 1724285079407542/55109257849049*c_1001_2^3 + 946085390089916/55109257849049*c_1001_2^2 - 503934823675506/55109257849049*c_1001_2 + 81674345065000/55109257849049, c_0101_9 + 67776008606545/55109257849049*c_1001_2^11 - 444278203951758/55109257849049*c_1001_2^10 + 2376859319439565/55109257849049*c_1001_2^9 - 8426103460299875/55109257849049*c_1001_2^8 + 14795078665559932/55109257849049*c_1001_2^7 - 16582569787456308/55109257849049*c_1001_2^6 + 30963733398158643/55109257849049*c_1001_2^5 - 55349379836849748/55109257849049*c_1001_2^4 + 51681206662878181/55109257849049*c_1001_2^3 - 30337131271629628/55109257849049*c_1001_2^2 + 17558352504642505/55109257849049*c_1001_2 - 4656581201014027/55109257849049, c_1001_1 + 207895398419/55109257849049*c_1001_2^11 - 453104572269/55109257849049*c_1001_2^10 + 1996663112969/55109257849049*c_1001_2^9 + 2943977427027/55109257849049*c_1001_2^8 - 50796064639978/55109257849049*c_1001_2^7 + 99398919750499/55109257849049*c_1001_2^6 - 87790558983036/55109257849049*c_1001_2^5 + 194473351674589/55109257849049*c_1001_2^4 - 387020554498121/55109257849049*c_1001_2^3 + 425013962123698/55109257849049*c_1001_2^2 - 284596565635489/55109257849049*c_1001_2 + 152601263832754/55109257849049, c_1001_2^12 - 7*c_1001_2^11 + 38*c_1001_2^10 - 140*c_1001_2^9 + 274*c_1001_2^8 - 343*c_1001_2^7 + 567*c_1001_2^6 - 1021*c_1001_2^5 + 1130*c_1001_2^4 - 792*c_1001_2^3 + 460*c_1001_2^2 - 185*c_1001_2 + 31 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.260 Total time: 0.480 seconds, Total memory usage: 32.09MB