Magma V2.19-8 Tue Aug 20 2013 23:49:04 on localhost [Seed = 627265452] Type ? for help. Type -D to quit. Loading file "L12n1336__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1336 geometric_solution 10.72985423 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 -1 7 -6 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 -0.231097406507 1.133134423210 0 5 2 6 0132 0132 1023 0132 0 1 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 -1 1 0 0 1 -1 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563134946672 1.172503100894 5 0 1 7 0132 0132 1023 0132 1 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 1 -1 0 -1 0 1 0 2 0 0 -2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.356496754733 1.199553651815 8 9 8 0 0132 0132 2031 0132 1 1 0 1 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 7 0 -7 0 0 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.172796074498 0.847266887020 7 10 0 8 3012 0132 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 6 -6 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 -0.231097406507 1.133134423210 2 1 10 7 0132 0132 3201 1230 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 1 0 -1 0 1 0 0 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.022471381949 0.530758125780 11 11 1 8 0132 2310 0132 3012 0 1 1 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 1 -1 0 -1 0 1 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 0.369096571616 0.832297346347 5 10 2 4 3012 0321 0132 1230 1 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 1 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.413690643846 0.365827725585 3 4 6 3 0132 1302 1230 1302 1 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 0 0 0 0 0 0 0 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.768902593493 1.133134423210 11 3 10 11 1230 0132 0321 3012 1 0 1 0 0 1 0 -1 0 0 0 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 -7 0 7 -1 0 0 1 -7 6 0 1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.578408247624 0.763044909798 5 4 9 7 2310 0132 0321 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 -3 3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563134946672 1.172503100894 6 9 9 6 0132 3012 1230 3201 0 1 0 1 0 1 0 -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 3 -1 -2 1 0 -1 0 0 1 0 -1 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.445257323985 1.004036660574 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_3'], 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_10']), 'c_1001_1' : d['c_0011_7'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0110_4'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : d['c_0101_1'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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_1100_9' : negation(d['c_0011_3']), 'c_1100_8' : d['c_0101_11'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : negation(d['c_1010_8']), 'c_1100_7' : d['c_0110_4'], 'c_1100_6' : negation(d['c_0110_4']), 'c_1100_1' : negation(d['c_0110_4']), 'c_1100_0' : negation(d['c_1010_8']), 'c_1100_3' : negation(d['c_1010_8']), 'c_1100_2' : d['c_0110_4'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_1001_0'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : d['c_0011_7'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_10']), 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : d['c_1010_8'], '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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), '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' : 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' : negation(d['c_0011_7']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0011_7'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], '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_0'], 'c_0110_2' : d['c_0011_7'], 'c_0110_5' : d['c_0011_7'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_11']})} 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_3, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0110_4, c_1001_0, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 18210891421009/48444007176192*c_1010_8^10 + 32302487392283/18166502691072*c_1010_8^9 + 58506455903765/3027750448512*c_1010_8^8 + 1377723668538409/24222003588096*c_1010_8^7 + 92561094147199/1009250149504*c_1010_8^6 + 3838306993063393/145332021528576*c_1010_8^5 - 6108774984581341/48444007176192*c_1010_8^4 - 33206033864596781/145332021528576*c_1010_8^3 - 3373064585595365/72666010764288*c_1010_8^2 + 7219207843867207/48444007176192*c_1010_8 + 3147820761720763/36333005382144, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 3981100597/756937612128*c_1010_8^10 + 5678146729/283851604548*c_1010_8^9 + 35383722071/141925802274*c_1010_8^8 + 635314985119/1135406418192*c_1010_8^7 + 47086764997/70962901137*c_1010_8^6 - 669240021755/2270812836384*c_1010_8^5 - 2866814849939/2270812836384*c_1010_8^4 - 658426338667/756937612128*c_1010_8^3 + 1374118720871/1135406418192*c_1010_8^2 + 1221220394329/2270812836384*c_1010_8 - 111085353297/63078134344, c_0011_3 + 1, c_0011_7 - 2012689291/1513875224256*c_1010_8^10 - 8199738833/567703209096*c_1010_8^9 - 7202889016/70962901137*c_1010_8^8 - 1366212156305/2270812836384*c_1010_8^7 - 369698377579/283851604548*c_1010_8^6 - 7214732043275/4541625672768*c_1010_8^5 + 2746115343709/4541625672768*c_1010_8^4 + 4402509861509/1513875224256*c_1010_8^3 + 7684875803183/2270812836384*c_1010_8^2 - 6742252757735/4541625672768*c_1010_8 - 702639840811/378468806064, c_0101_0 - 1, c_0101_1 + 1690945825/756937612128*c_1010_8^10 + 805510409/141925802274*c_1010_8^9 + 6745346347/70962901137*c_1010_8^8 + 109648814791/1135406418192*c_1010_8^7 - 13549331441/283851604548*c_1010_8^6 - 1837452530015/2270812836384*c_1010_8^5 - 2315913329687/2270812836384*c_1010_8^4 - 101402088671/756937612128*c_1010_8^3 + 1989516278267/1135406418192*c_1010_8^2 + 2623995984445/2270812836384*c_1010_8 - 42099575453/63078134344, c_0101_10 - 76622846329/4541625672768*c_1010_8^10 - 31584642235/567703209096*c_1010_8^9 - 218105355437/283851604548*c_1010_8^8 - 3113655683833/2270812836384*c_1010_8^7 - 56807704675/47308600758*c_1010_8^6 + 13611631334333/4541625672768*c_1010_8^5 + 23691305295877/4541625672768*c_1010_8^4 + 17686112878759/4541625672768*c_1010_8^3 - 15259027682321/2270812836384*c_1010_8^2 - 14954584187183/4541625672768*c_1010_8 + 759593571037/378468806064, c_0101_11 - 2794119841/1766187761632*c_1010_8^10 - 6557429390/496740307959*c_1010_8^9 - 52074048344/496740307959*c_1010_8^8 - 590488135595/1135406418192*c_1010_8^7 - 2161809083495/1986961231836*c_1010_8^6 - 18381599872259/15895689854688*c_1010_8^5 + 5901531811909/15895689854688*c_1010_8^4 + 3768799267775/1766187761632*c_1010_8^3 + 15947612373311/7947844927344*c_1010_8^2 - 24510005835239/15895689854688*c_1010_8 - 521659114897/441546940408, c_0110_4 + 8803892351/1135406418192*c_1010_8^10 + 1418793713/47308600758*c_1010_8^9 + 35707162999/94617201516*c_1010_8^8 + 164876560439/189234403032*c_1010_8^7 + 98182878995/70962901137*c_1010_8^6 + 49134310763/378468806064*c_1010_8^5 - 1666803112543/1135406418192*c_1010_8^4 - 2891203928981/1135406418192*c_1010_8^3 + 64369783661/63078134344*c_1010_8^2 + 1486190097509/1135406418192*c_1010_8 - 8143112977/31539067172, c_1001_0 + 8803892351/1135406418192*c_1010_8^10 + 1418793713/47308600758*c_1010_8^9 + 35707162999/94617201516*c_1010_8^8 + 164876560439/189234403032*c_1010_8^7 + 98182878995/70962901137*c_1010_8^6 + 49134310763/378468806064*c_1010_8^5 - 1666803112543/1135406418192*c_1010_8^4 - 2891203928981/1135406418192*c_1010_8^3 + 64369783661/63078134344*c_1010_8^2 + 1486190097509/1135406418192*c_1010_8 - 8143112977/31539067172, c_1010_8^11 + 4*c_1010_8^10 + 48*c_1010_8^9 + 114*c_1010_8^8 + 136*c_1010_8^7 - 101*c_1010_8^6 - 377*c_1010_8^5 - 363*c_1010_8^4 + 302*c_1010_8^3 + 463*c_1010_8^2 - 56*c_1010_8 - 144 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB