Magma V2.19-8 Wed Aug 21 2013 01:10:49 on localhost [Seed = 1343637950] Type ? for help. Type -D to quit. Loading file "L14n55063__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n55063 geometric_solution 12.42119182 oriented_manifold CS_known 0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 2 0132 0132 2310 2310 2 0 0 2 0 0 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 1 2 -3 1 0 -1 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.225908416394 1.465603338839 0 0 4 3 0132 3201 0132 0132 2 0 2 0 0 1 0 -1 1 0 -1 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 3 0 -3 -1 0 1 0 0 -2 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.102731043493 0.666477870762 0 0 6 5 3201 0132 0132 0132 2 0 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 0 0 0 0 0 -1 1 0 0 0 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 0.102731043493 0.666477870762 5 5 1 6 0132 2103 0132 3201 2 0 2 2 0 -1 1 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 -2 3 -1 0 0 0 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396198557095 0.777814642913 7 5 8 1 0132 2310 0132 0132 2 0 0 2 0 0 0 0 -1 0 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 1 0 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 0.399038691864 1.533580155056 3 3 2 4 0132 2103 0132 3201 2 0 2 2 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396198557095 0.777814642913 8 3 7 2 2310 2310 2310 0132 2 0 0 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 0 0 0 0 0 0 0 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 0.399038691864 1.533580155056 4 6 10 9 0132 3201 0132 0132 2 0 2 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 1 0 -1 -1 0 2 -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 0.286705845669 0.612767055431 11 12 6 4 0132 0132 3201 0132 2 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.286705845669 0.612767055431 11 12 7 11 2103 0213 0132 3201 2 0 1 2 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 0 1 -1 0 0 1 -1 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.652578690941 1.025810340115 11 12 12 7 3120 0321 3201 0132 2 0 0 1 0 0 0 0 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 2 -2 1 -2 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.652578690941 1.025810340115 8 9 9 10 0132 2310 2103 3120 1 0 0 2 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 1 -1 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 0.652578690941 1.025810340115 10 8 9 10 2310 0132 0213 0321 2 1 0 2 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 0 0 0 1 0 -1 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.652578690941 1.025810340115 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_9'], 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_1001_12'], 'c_1001_7' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_1001_12']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0101_5']), 'c_1001_9' : d['c_1001_12'], 'c_1001_8' : negation(d['c_0101_6']), 'c_1010_12' : negation(d['c_0101_6']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0101_6']), 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_9'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : negation(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' : negation(d['1']), 's_0_4' : negation(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' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_6']), 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_6']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : negation(d['c_0011_4']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_11']), 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_1001_12']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_1001_12'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0101_5']), 'c_1010_9' : negation(d['c_0011_9']), 'c_1010_8' : d['c_1001_12'], 'c_1100_8' : negation(d['c_0011_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' : negation(d['1']), 'c_1100_12' : negation(d['c_0011_9']), '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' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : d['c_0011_6'], '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_1'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : negation(d['c_0011_10']), '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_0101_11'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_1'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : negation(d['c_0101_1']), 's_2_9' : d['1']})} 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_6, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0101_6, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 191548175585588757256390/480133206637671978189*c_1001_12^9 + 26693926877170452452257/320088804425114652126*c_1001_12^8 - 4636409235842651570226611/1920532826550687912756*c_1001_12^7 + 228723176923826620506142619/15364262612405503302048*c_1001_12^6 - 40746386502237694071506159/1920532826550687912756*c_1001_12^5 + 37812242683857087493628681/2560710435400917217008*c_1001_12^4 - 42828788787914986316670241/15364262612405503302048*c_1001_12^3 - 29538910300691467074429785/15364262612405503302048*c_1001_12^2 + 3538175971594898274397361/2560710435400917217008*c_1001_12 - 7367130425471528459313277/15364262612405503302048, c_0011_0 - 1, c_0011_10 + 9793502672/14952489857*c_1001_12^9 - 2704094132/14952489857*c_1001_12^8 + 57138343786/14952489857*c_1001_12^7 - 1465743957637/59809959428*c_1001_12^6 + 534521137051/14952489857*c_1001_12^5 - 592309872923/29904979714*c_1001_12^4 - 401255370857/59809959428*c_1001_12^3 + 589702953019/59809959428*c_1001_12^2 - 93851924899/29904979714*c_1001_12 - 21049790897/59809959428, c_0011_11 - 45201823097634976/184595619622326789*c_1001_12^9 + 1306346684113304/61531873207442263*c_1001_12^8 - 225516983620016732/184595619622326789*c_1001_12^7 + 3379676412875736485/369191239244653578*c_1001_12^6 - 3753772735224867325/369191239244653578*c_1001_12^5 - 36506980986573265/123063746414884526*c_1001_12^4 + 961830898656105901/184595619622326789*c_1001_12^3 - 1891969443273291695/369191239244653578*c_1001_12^2 + 26133650636411839/123063746414884526*c_1001_12 - 1737976322409083/184595619622326789, c_0011_3 + 37347490412666576/61531873207442263*c_1001_12^9 + 2155274726344604/61531873207442263*c_1001_12^8 + 226124797562038902/61531873207442263*c_1001_12^7 - 5350459472727618397/246127492829769052*c_1001_12^6 + 6512527721571962275/246127492829769052*c_1001_12^5 - 3823109904130441659/246127492829769052*c_1001_12^4 + 154830757732059045/61531873207442263*c_1001_12^3 - 9358538963627365/246127492829769052*c_1001_12^2 + 93268766872872737/246127492829769052*c_1001_12 - 32917104474372028/61531873207442263, c_0011_4 - 74694980825333152/61531873207442263*c_1001_12^9 - 4310549452689208/61531873207442263*c_1001_12^8 - 452249595124077804/61531873207442263*c_1001_12^7 + 5350459472727618397/123063746414884526*c_1001_12^6 - 6512527721571962275/123063746414884526*c_1001_12^5 + 3823109904130441659/123063746414884526*c_1001_12^4 - 309661515464118090/61531873207442263*c_1001_12^3 + 9358538963627365/123063746414884526*c_1001_12^2 - 93268766872872737/123063746414884526*c_1001_12 + 4302335741301793/61531873207442263, c_0011_6 - 74694980825333152/61531873207442263*c_1001_12^9 - 4310549452689208/61531873207442263*c_1001_12^8 - 452249595124077804/61531873207442263*c_1001_12^7 + 5350459472727618397/123063746414884526*c_1001_12^6 - 6512527721571962275/123063746414884526*c_1001_12^5 + 3823109904130441659/123063746414884526*c_1001_12^4 - 309661515464118090/61531873207442263*c_1001_12^3 + 9358538963627365/123063746414884526*c_1001_12^2 - 93268766872872737/123063746414884526*c_1001_12 + 4302335741301793/61531873207442263, c_0011_9 - 1, c_0101_0 + 151476366083434720/184595619622326789*c_1001_12^9 + 12488291707614712/61531873207442263*c_1001_12^8 + 929235649997362484/184595619622326789*c_1001_12^7 - 10506533467472557127/369191239244653578*c_1001_12^6 + 11257902992968479127/369191239244653578*c_1001_12^5 - 2019185640018726535/123063746414884526*c_1001_12^4 + 355356692155887371/184595619622326789*c_1001_12^3 - 122868283877890441/369191239244653578*c_1001_12^2 + 14775908126930459/123063746414884526*c_1001_12 + 106044002625064271/184595619622326789, c_0101_1 - 1, c_0101_11 - 42044856681847648/184595619622326789*c_1001_12^9 + 13021628564066024/61531873207442263*c_1001_12^8 - 252647059485790340/184595619622326789*c_1001_12^7 + 3511666789946053307/369191239244653578*c_1001_12^6 - 6605040220430833159/369191239244653578*c_1001_12^5 + 1951563484079158451/123063746414884526*c_1001_12^4 - 1064127277121883260/184595619622326789*c_1001_12^3 - 680426523407816009/369191239244653578*c_1001_12^2 + 68185836969671749/123063746414884526*c_1001_12 + 28488389174244553/184595619622326789, c_0101_5 + 151476366083434720/184595619622326789*c_1001_12^9 + 12488291707614712/61531873207442263*c_1001_12^8 + 929235649997362484/184595619622326789*c_1001_12^7 - 10506533467472557127/369191239244653578*c_1001_12^6 + 11257902992968479127/369191239244653578*c_1001_12^5 - 2019185640018726535/123063746414884526*c_1001_12^4 + 355356692155887371/184595619622326789*c_1001_12^3 - 122868283877890441/369191239244653578*c_1001_12^2 + 14775908126930459/123063746414884526*c_1001_12 + 106044002625064271/184595619622326789, c_0101_6 + 42044856681847648/184595619622326789*c_1001_12^9 - 13021628564066024/61531873207442263*c_1001_12^8 + 252647059485790340/184595619622326789*c_1001_12^7 - 3511666789946053307/369191239244653578*c_1001_12^6 + 6605040220430833159/369191239244653578*c_1001_12^5 - 1951563484079158451/123063746414884526*c_1001_12^4 + 1064127277121883260/184595619622326789*c_1001_12^3 + 680426523407816009/369191239244653578*c_1001_12^2 - 68185836969671749/123063746414884526*c_1001_12 - 28488389174244553/184595619622326789, c_1001_12^10 - 1/4*c_1001_12^9 + 49/8*c_1001_12^8 - 2409/64*c_1001_12^7 + 441/8*c_1001_12^6 - 1345/32*c_1001_12^5 + 923/64*c_1001_12^4 - 109/64*c_1001_12^3 + 7/32*c_1001_12^2 - 1/64*c_1001_12 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB