Magma V2.19-8 Tue Aug 20 2013 23:53:18 on localhost [Seed = 1174416811] Type ? for help. Type -D to quit. Loading file "L13n5559__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5559 geometric_solution 11.45820761 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 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 -2 -1 3 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 0.526315391159 0.505163443224 0 5 2 6 0132 0132 2031 0132 1 1 1 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 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.837795447975 0.814280776964 7 0 4 1 0132 0132 1302 1302 1 0 1 0 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 -2 0 -1 0 1 0 0 0 0 0 3 -1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.131981318271 0.872523246690 7 8 5 0 2031 0132 0321 0132 1 1 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 0 0 0 0 0 0 0 0 0 -1 1 -3 0 3 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 0.479936371962 0.684676790364 2 9 0 10 2031 0132 0132 0132 1 1 0 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 3 -3 0 2 0 0 -2 2 -2 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.353899130630 0.944806763101 9 1 3 8 0321 0132 0321 3120 1 0 0 1 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 1 -1 0 0 0 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 0.511368875962 1.169450828097 9 10 1 11 2031 0321 0132 0132 1 1 0 1 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 0 0 0 0 0 0 0 2 1 0 -3 1 2 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.703503137257 0.926179498161 2 9 3 10 0132 0321 1302 1230 1 0 0 1 0 1 -1 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 -3 3 0 1 0 0 -1 -3 0 0 3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546576564330 0.942743230151 5 3 11 11 3120 0132 1230 0321 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 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 0.729873837676 1.423663586276 5 4 6 7 0321 0132 1302 0321 1 1 0 0 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 0 3 0 0 -1 1 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.539729160730 0.793881856771 7 11 4 6 3012 1023 0132 0321 1 1 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 0 0 0 0 0 2 -2 1 0 0 -1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.686106021574 0.717844965271 10 8 6 8 1023 0321 0132 3012 1 1 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 0 0 0 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.714841104925 0.556219875634 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_11'], 'c_1001_10' : d['c_0101_11'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_10'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_8']), 'c_1001_2' : d['c_0101_10'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0101_8']), 'c_1010_10' : d['c_0110_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_0'], 'c_1100_8' : d['c_0110_11'], 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : negation(d['c_0011_6']), 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_1001_5'], 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : d['c_0101_1'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_0']), 'c_1100_10' : d['c_1001_5'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_0110_11'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0101_10'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : negation(d['c_0101_8']), 's_3_1' : negation(d['1']), 's_3_0' : negation(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' : negation(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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], '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_0'], '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_0110_11'], 'c_0110_10' : negation(d['c_0011_6']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_0']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : 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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_8, c_0110_11, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 7396050749681/62140402352*c_1001_5^10 - 40850312744285/124280804704*c_1001_5^9 - 30613387095077/62140402352*c_1001_5^8 - 63514135801105/62140402352*c_1001_5^7 - 180594307163887/124280804704*c_1001_5^6 - 10650050727657/5403513248*c_1001_5^5 - 324710887714609/124280804704*c_1001_5^4 - 211488856447/99743824*c_1001_5^3 - 15494093024385/7767550294*c_1001_5^2 - 3249207997274/3883775147*c_1001_5 - 3751543166219/7767550294, c_0011_0 - 1, c_0011_10 + 2779091975/1350878312*c_1001_5^10 + 6124627127/2701756624*c_1001_5^9 - 1850247213/675439156*c_1001_5^8 + 3796932833/1350878312*c_1001_5^7 + 749953825/2701756624*c_1001_5^6 - 26022380313/2701756624*c_1001_5^5 - 20339310307/2701756624*c_1001_5^4 - 27594139/1084172*c_1001_5^3 - 2754372921/168859789*c_1001_5^2 - 2345391206/168859789*c_1001_5 - 710815571/168859789, c_0011_3 + 909210115/337719578*c_1001_5^10 + 2422934449/337719578*c_1001_5^9 + 11274732095/1350878312*c_1001_5^8 + 5644894165/337719578*c_1001_5^7 + 8451517297/337719578*c_1001_5^6 + 39969001627/1350878312*c_1001_5^5 + 50199091129/1350878312*c_1001_5^4 + 48950067/2168344*c_1001_5^3 + 2770331316/168859789*c_1001_5^2 + 990253407/337719578*c_1001_5 + 18660318/168859789, c_0011_6 - 857748485/1350878312*c_1001_5^10 - 13258848465/2701756624*c_1001_5^9 - 14975226521/1350878312*c_1001_5^8 - 18782643827/1350878312*c_1001_5^7 - 66862184551/2701756624*c_1001_5^6 - 105960383567/2701756624*c_1001_5^5 - 120737492565/2701756624*c_1001_5^4 - 104138345/2168344*c_1001_5^3 - 5524704237/168859789*c_1001_5^2 - 5681035819/337719578*c_1001_5 - 729475889/168859789, c_0101_0 - 1, c_0101_1 - 65531961/337719578*c_1001_5^10 - 1722446709/675439156*c_1001_5^9 - 1013920470/168859789*c_1001_5^8 - 5081891897/675439156*c_1001_5^7 - 9930531697/675439156*c_1001_5^6 - 14472166743/675439156*c_1001_5^5 - 4237681758/168859789*c_1001_5^4 - 32654103/1084172*c_1001_5^3 - 13128250231/675439156*c_1001_5^2 - 2243184897/168859789*c_1001_5 - 436995036/168859789, c_0101_10 + 1, c_0101_11 - 909210115/337719578*c_1001_5^10 - 2422934449/337719578*c_1001_5^9 - 11274732095/1350878312*c_1001_5^8 - 5644894165/337719578*c_1001_5^7 - 8451517297/337719578*c_1001_5^6 - 39969001627/1350878312*c_1001_5^5 - 50199091129/1350878312*c_1001_5^4 - 48950067/2168344*c_1001_5^3 - 2770331316/168859789*c_1001_5^2 - 990253407/337719578*c_1001_5 - 18660318/168859789, c_0101_8 + 3955370529/1350878312*c_1001_5^10 + 21572090789/2701756624*c_1001_5^9 + 10599808687/1350878312*c_1001_5^8 + 19748865135/1350878312*c_1001_5^7 + 67870835251/2701756624*c_1001_5^6 + 71542683351/2701756624*c_1001_5^5 + 79768835245/2701756624*c_1001_5^4 + 33343595/2168344*c_1001_5^3 + 1043730792/168859789*c_1001_5^2 - 375418711/168859789*c_1001_5 - 302154772/168859789, c_0110_11 + 3955370529/1350878312*c_1001_5^10 + 21572090789/2701756624*c_1001_5^9 + 10599808687/1350878312*c_1001_5^8 + 19748865135/1350878312*c_1001_5^7 + 67870835251/2701756624*c_1001_5^6 + 71542683351/2701756624*c_1001_5^5 + 79768835245/2701756624*c_1001_5^4 + 33343595/2168344*c_1001_5^3 + 1043730792/168859789*c_1001_5^2 - 375418711/168859789*c_1001_5 - 302154772/168859789, c_1001_0 + 247561369/337719578*c_1001_5^10 + 704880961/337719578*c_1001_5^9 + 3565418113/1350878312*c_1001_5^8 + 811942150/168859789*c_1001_5^7 + 1237717406/168859789*c_1001_5^6 + 12751807585/1350878312*c_1001_5^5 + 15564849007/1350878312*c_1001_5^4 + 15449321/2168344*c_1001_5^3 + 908423283/168859789*c_1001_5^2 + 497540199/337719578*c_1001_5 + 66319926/168859789, c_1001_5^11 + 67/22*c_1001_5^10 + 52/11*c_1001_5^9 + 103/11*c_1001_5^8 + 317/22*c_1001_5^7 + 423/22*c_1001_5^6 + 51/2*c_1001_5^5 + 254/11*c_1001_5^4 + 226/11*c_1001_5^3 + 128/11*c_1001_5^2 + 64/11*c_1001_5 + 16/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB