Magma V2.19-8 Tue Aug 20 2013 23:40:34 on localhost [Seed = 1646528244] Type ? for help. Type -D to quit. Loading file "L11n11__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n11 geometric_solution 10.24919497 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 2 1 0132 0132 1230 2031 1 1 1 1 0 -1 0 1 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 5 1 -6 0 0 6 -6 0 -1 0 1 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452952674634 0.693094390076 0 0 4 3 0132 1302 0132 0132 1 1 1 1 0 -1 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 0 0 0 0 6 -6 0 0 0 0 0 -6 6 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.339281825414 1.011010831533 5 0 3 0 0132 0132 1302 3012 1 1 1 1 0 1 -1 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 -5 5 0 1 0 0 -1 0 6 0 -6 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.701666022175 0.888992160507 2 6 1 5 2031 0132 0132 0321 1 1 1 1 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 0 0 0 0 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.223210198488 1.458005133219 6 7 5 1 3012 0132 0321 0132 1 1 1 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 0 0 0 0 0 0 0 0 -6 0 6 5 0 -5 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 -0.667993231097 0.792797197624 2 3 4 8 0132 0321 0321 0132 1 1 1 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 0 0 -1 0 0 1 1 0 0 -1 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.782824470165 0.541999294596 9 3 10 4 0132 0132 0132 1230 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 0 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.697757615432 0.506189243613 9 4 10 9 2031 0132 0321 1023 1 0 1 1 0 -1 0 1 0 0 -1 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 6 0 -6 1 0 -1 0 0 0 0 0 6 -1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357107927883 1.132641720614 9 10 5 10 1302 0132 0132 1230 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 -5 0 5 0 0 -1 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 0.379021822946 0.667757386209 6 8 7 7 0132 2031 1302 1023 0 1 1 1 0 1 0 -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 1 -1 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 0 0.746804394247 0.803062279383 8 8 7 6 3012 0132 0321 0132 1 1 1 0 0 -1 0 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 5 0 -5 -5 0 5 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746804394247 0.803062279383 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_6'], 'c_1001_7' : d['c_0101_1'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_1001_6'], 'c_1010_10' : d['c_1001_6'], 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_2_8' : negation(d['1']), 's_2_9' : d['1'], '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' : negation(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_10' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_10']), 'c_1100_8' : d['c_0101_6'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0101_1'], 'c_1100_1' : d['c_1001_5'], 'c_1100_0' : negation(d['c_0101_4']), 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : d['c_0101_0'], 'c_1100_10' : d['c_0101_1'], 'c_1010_7' : d['c_0101_6'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : d['c_1001_6'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_1001_6'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0101_10'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], '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_0110_10' : d['c_0101_6'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_4'], 'c_0101_8' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0011_4']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_4, c_0101_6, c_1001_5, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 427690344735781/42333817134520000*c_1001_6^9 + 1210232581485503/42333817134520000*c_1001_6^8 - 215756151790901/21166908567260000*c_1001_6^7 - 903570250229301/21166908567260000*c_1001_6^6 - 1114275339043791/8466763426904000*c_1001_6^5 + 2818110839443069/42333817134520000*c_1001_6^4 - 1350417197679907/21166908567260000*c_1001_6^3 + 22298784777546039/21166908567260000*c_1001_6^2 - 68713338637749733/42333817134520000*c_1001_6 - 9865847371250669/42333817134520000, c_0011_0 - 1, c_0011_10 - 9871/959516*c_1001_6^9 + 24345/959516*c_1001_6^8 - 2053/479758*c_1001_6^7 - 11543/239879*c_1001_6^6 - 116823/959516*c_1001_6^5 - 7763/959516*c_1001_6^4 - 36853/239879*c_1001_6^3 + 180611/239879*c_1001_6^2 - 1126009/959516*c_1001_6 - 500863/959516, c_0011_3 + 529995/267225206*c_1001_6^9 - 3035887/267225206*c_1001_6^8 + 1741412/133612603*c_1001_6^7 - 68024/133612603*c_1001_6^6 + 3612397/267225206*c_1001_6^5 - 35389825/267225206*c_1001_6^4 + 2122094/133612603*c_1001_6^3 - 49289908/133612603*c_1001_6^2 + 93346249/267225206*c_1001_6 - 210331041/267225206, c_0011_4 + c_1001_6, c_0101_0 - 36719/133612603*c_1001_6^9 - 1911371/534450412*c_1001_6^8 + 9984345/534450412*c_1001_6^7 - 7562601/267225206*c_1001_6^6 - 16573663/534450412*c_1001_6^5 + 4920491/534450412*c_1001_6^4 + 39765377/534450412*c_1001_6^3 - 55083753/267225206*c_1001_6^2 + 2370732/133612603*c_1001_6 - 746283069/534450412, c_0101_1 + 529995/267225206*c_1001_6^9 - 3035887/267225206*c_1001_6^8 + 1741412/133612603*c_1001_6^7 - 68024/133612603*c_1001_6^6 + 3612397/267225206*c_1001_6^5 - 35389825/267225206*c_1001_6^4 + 2122094/133612603*c_1001_6^3 - 49289908/133612603*c_1001_6^2 + 93346249/267225206*c_1001_6 - 210331041/267225206, c_0101_10 + 1, c_0101_4 + 568261/534450412*c_1001_6^9 - 3609535/534450412*c_1001_6^8 - 1057275/133612603*c_1001_6^7 + 3954049/133612603*c_1001_6^6 + 10166591/267225206*c_1001_6^5 - 14168091/133612603*c_1001_6^4 - 133187877/534450412*c_1001_6^3 - 188145419/534450412*c_1001_6^2 + 199789685/267225206*c_1001_6 + 149648623/267225206, c_0101_6 + 5246397/534450412*c_1001_6^9 - 9786165/534450412*c_1001_6^8 - 1617277/267225206*c_1001_6^7 + 9610111/267225206*c_1001_6^6 + 74613365/534450412*c_1001_6^5 + 38857061/534450412*c_1001_6^4 + 30325252/133612603*c_1001_6^3 - 282801921/267225206*c_1001_6^2 + 897974163/534450412*c_1001_6 + 336800511/534450412, c_1001_5 - 1820499/534450412*c_1001_6^9 + 10971105/534450412*c_1001_6^8 - 11737143/534450412*c_1001_6^7 - 6481573/267225206*c_1001_6^6 - 18048875/534450412*c_1001_6^5 + 136377803/534450412*c_1001_6^4 + 28250261/133612603*c_1001_6^3 + 65247817/133612603*c_1001_6^2 - 218718628/133612603*c_1001_6 + 58909945/534450412, c_1001_6^10 - 2*c_1001_6^9 - c_1001_6^8 + 4*c_1001_6^7 + 17*c_1001_6^6 + 6*c_1001_6^5 + 5*c_1001_6^4 - 104*c_1001_6^3 + 75*c_1001_6^2 + 122*c_1001_6 + 89 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB